book

Computer Animation

Name: Computer Animation
Author: Rick Parent
ISBN: 9780080502502

by Rick Parent

August 2001

Intermediate to advanced

552 pages

24h 29m

English

Morgan Kaufmann

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Front Cover
Computer Animation: Algorithms and Techniques
Copyright Page
Contents (1/2)
Contents (2/2)
Foreword
Preface (1/61)
Preface (2/61)
Chapter 1 Introduction (1/61)1.1 Perception (1/61)1.2 The Heritage of Animation (1/61)
Preface (3/61)
Chapter 1 Introduction (2/61)1.1 Perception (2/61)1.2 The Heritage of Animation (2/61)
Preface (4/61)
Chapter 1 Introduction (3/61)1.1 Perception (3/61)1.2 The Heritage of Animation (3/61)1.3 Animation Production (1/61)

Preface (5/61)
Chapter 1 Introduction (4/61)1.1 Perception (4/61)1.2 The Heritage of Animation (4/61)1.3 Animation Production (2/61)
Preface (6/61)
Chapter 1 Introduction (5/61)1.1 Perception (5/61)1.2 The Heritage of Animation (5/61)1.3 Animation Production (3/61)1.4 A Brief History of Computer Animation (1/61)
Preface (7/61)
Chapter 1 Introduction (6/61)1.1 Perception (6/61)1.2 The Heritage of Animation (6/61)1.3 Animation Production (4/61)1.4 A Brief History of Computer Animation (2/61)1.5 Chapter Summary (1/61)References (1/61)
Preface (8/61)
Chapter 1 Introduction (7/61)1.1 Perception (7/61)1.2 The Heritage of Animation (7/61)1.3 Animation Production (5/61)1.4 A Brief History of Computer Animation (3/61)1.5 Chapter Summary (2/61)References (2/61)Chapter 2 Technical Background (1/61)2.1 Spaces and Transformations (1/61)
Preface (9/61)
Chapter 1 Introduction (8/61)1.1 Perception (8/61)1.2 The Heritage of Animation (8/61)1.3 Animation Production (6/61)1.4 A Brief History of Computer Animation (4/61)1.5 Chapter Summary (3/61)References (3/61)Chapter 2 Technical Background (2/61)2.1 Spaces and Transformations (2/61)
Preface (10/61)
Chapter 1 Introduction (9/61)1.1 Perception (9/61)1.2 The Heritage of Animation (9/61)1.3 Animation Production (7/61)1.4 A Brief History of Computer Animation (5/61)1.5 Chapter Summary (4/61)References (4/61)Chapter 2 Technical Background (3/61)2.1 Spaces and Transformations (3/61)
Preface (11/61)
Chapter 1 Introduction (10/61)1.1 Perception (10/61)1.2 The Heritage of Animation (10/61)1.3 Animation Production (8/61)1.4 A Brief History of Computer Animation (6/61)1.5 Chapter Summary (5/61)References (5/61)Chapter 2 Technical Background (4/61)2.1 Spaces and Transformations (4/61)
Preface (12/61)
Chapter 1 Introduction (11/61)1.1 Perception (11/61)1.2 The Heritage of Animation (11/61)1.3 Animation Production (9/61)1.4 A Brief History of Computer Animation (7/61)1.5 Chapter Summary (6/61)References (6/61)Chapter 2 Technical Background (5/61)2.1 Spaces and Transformations (5/61)2.2 Orientation Representation (1/61)
Preface (13/61)
Chapter 1 Introduction (12/61)1.1 Perception (12/61)1.2 The Heritage of Animation (12/61)1.3 Animation Production (10/61)1.4 A Brief History of Computer Animation (8/61)1.5 Chapter Summary (7/61)References (7/61)Chapter 2 Technical Background (6/61)2.1 Spaces and Transformations (6/61)2.2 Orientation Representation (2/61)
Preface (14/61)
Chapter 1 Introduction (13/61)1.1 Perception (13/61)1.2 The Heritage of Animation (13/61)1.3 Animation Production (11/61)1.4 A Brief History of Computer Animation (9/61)1.5 Chapter Summary (8/61)References (8/61)Chapter 2 Technical Background (7/61)2.1 Spaces and Transformations (7/61)2.2 Orientation Representation (3/61)2.3 Chapter Summary 61 References (1/61)Chapter 3 Interpolation and Basic Techniques (1/61)3.1 Interpolation (1/61)
Preface (15/61)
Chapter 1 Introduction (14/61)1.1 Perception (14/61)1.2 The Heritage of Animation (14/61)1.3 Animation Production (12/61)1.4 A Brief History of Computer Animation (10/61)1.5 Chapter Summary (9/61)References (9/61)Chapter 2 Technical Background (8/61)2.1 Spaces and Transformations (8/61)2.2 Orientation Representation (4/61)2.3 Chapter Summary 61 References (2/61)Chapter 3 Interpolation and Basic Techniques (2/61)3.1 Interpolation (2/61)3.2 Controlling the Motion Along a Curve (1/61)
Preface (16/61)
Chapter 1 Introduction (15/61)1.1 Perception (15/61)1.2 The Heritage of Animation (15/61)1.3 Animation Production (13/61)1.4 A Brief History of Computer Animation (11/61)1.5 Chapter Summary (10/61)References (10/61)Chapter 2 Technical Background (9/61)2.1 Spaces and Transformations (9/61)2.2 Orientation Representation (5/61)2.3 Chapter Summary 61 References (3/61)Chapter 3 Interpolation and Basic Techniques (3/61)3.1 Interpolation (3/61)3.2 Controlling the Motion Along a Curve (2/61)
Preface (17/61)
Chapter 1 Introduction (16/61)1.1 Perception (16/61)1.2 The Heritage of Animation (16/61)1.3 Animation Production (14/61)1.4 A Brief History of Computer Animation (12/61)1.5 Chapter Summary (11/61)References (11/61)Chapter 2 Technical Background (10/61)2.1 Spaces and Transformations (10/61)2.2 Orientation Representation (6/61)2.3 Chapter Summary 61 References (4/61)Chapter 3 Interpolation and Basic Techniques (4/61)3.1 Interpolation (4/61)3.2 Controlling the Motion Along a Curve (3/61)
Preface (18/61)
Chapter 1 Introduction (17/61)1.1 Perception (17/61)1.2 The Heritage of Animation (17/61)1.3 Animation Production (15/61)1.4 A Brief History of Computer Animation (13/61)1.5 Chapter Summary (12/61)References (12/61)Chapter 2 Technical Background (11/61)2.1 Spaces and Transformations (11/61)2.2 Orientation Representation (7/61)2.3 Chapter Summary 61 References (5/61)Chapter 3 Interpolation and Basic Techniques (5/61)3.1 Interpolation (5/61)3.2 Controlling the Motion Along a Curve (4/61)
Preface (19/61)
Chapter 1 Introduction (18/61)1.1 Perception (18/61)1.2 The Heritage of Animation (18/61)1.3 Animation Production (16/61)1.4 A Brief History of Computer Animation (14/61)1.5 Chapter Summary (13/61)References (13/61)Chapter 2 Technical Background (12/61)2.1 Spaces and Transformations (12/61)2.2 Orientation Representation (8/61)2.3 Chapter Summary 61 References (6/61)Chapter 3 Interpolation and Basic Techniques (6/61)3.1 Interpolation (6/61)3.2 Controlling the Motion Along a Curve (5/61)
Preface (20/61)
Chapter 1 Introduction (19/61)1.1 Perception (19/61)1.2 The Heritage of Animation (19/61)1.3 Animation Production (17/61)1.4 A Brief History of Computer Animation (15/61)1.5 Chapter Summary (14/61)References (14/61)Chapter 2 Technical Background (13/61)2.1 Spaces and Transformations (13/61)2.2 Orientation Representation (9/61)2.3 Chapter Summary 61 References (7/61)Chapter 3 Interpolation and Basic Techniques (7/61)3.1 Interpolation (7/61)3.2 Controlling the Motion Along a Curve (6/61)
Preface (21/61)
Chapter 1 Introduction (20/61)1.1 Perception (20/61)1.2 The Heritage of Animation (20/61)1.3 Animation Production (18/61)1.4 A Brief History of Computer Animation (16/61)1.5 Chapter Summary (15/61)References (15/61)Chapter 2 Technical Background (14/61)2.1 Spaces and Transformations (14/61)2.2 Orientation Representation (10/61)2.3 Chapter Summary 61 References (8/61)Chapter 3 Interpolation and Basic Techniques (8/61)3.1 Interpolation (8/61)3.2 Controlling the Motion Along a Curve (7/61)3.3 Interpolation of Rotations Represented by Quaternions (1/61)
Preface (22/61)
Chapter 1 Introduction (21/61)1.1 Perception (21/61)1.2 The Heritage of Animation (21/61)1.3 Animation Production (19/61)1.4 A Brief History of Computer Animation (17/61)1.5 Chapter Summary (16/61)References (16/61)Chapter 2 Technical Background (15/61)2.1 Spaces and Transformations (15/61)2.2 Orientation Representation (11/61)2.3 Chapter Summary 61 References (9/61)Chapter 3 Interpolation and Basic Techniques (9/61)3.1 Interpolation (9/61)3.2 Controlling the Motion Along a Curve (8/61)3.3 Interpolation of Rotations Represented by Quaternions (2/61)3.4 Path Following (1/61)
Preface (23/61)
Chapter 1 Introduction (22/61)1.1 Perception (22/61)1.2 The Heritage of Animation (22/61)1.3 Animation Production (20/61)1.4 A Brief History of Computer Animation (18/61)1.5 Chapter Summary (17/61)References (17/61)Chapter 2 Technical Background (16/61)2.1 Spaces and Transformations (16/61)2.2 Orientation Representation (12/61)2.3 Chapter Summary 61 References (10/61)Chapter 3 Interpolation and Basic Techniques (10/61)3.1 Interpolation (10/61)3.2 Controlling the Motion Along a Curve (9/61)3.3 Interpolation of Rotations Represented by Quaternions (3/61)3.4 Path Following (2/61)
Preface (24/61)
Chapter 1 Introduction (23/61)1.1 Perception (23/61)1.2 The Heritage of Animation (23/61)1.3 Animation Production (21/61)1.4 A Brief History of Computer Animation (19/61)1.5 Chapter Summary (18/61)References (18/61)Chapter 2 Technical Background (17/61)2.1 Spaces and Transformations (17/61)2.2 Orientation Representation (13/61)2.3 Chapter Summary 61 References (11/61)Chapter 3 Interpolation and Basic Techniques (11/61)3.1 Interpolation (11/61)3.2 Controlling the Motion Along a Curve (10/61)3.3 Interpolation of Rotations Represented by Quaternions (4/61)3.4 Path Following (3/61)
Preface (25/61)
Chapter 1 Introduction (24/61)1.1 Perception (24/61)1.2 The Heritage of Animation (24/61)1.3 Animation Production (22/61)1.4 A Brief History of Computer Animation (20/61)1.5 Chapter Summary (19/61)References (19/61)Chapter 2 Technical Background (18/61)2.1 Spaces and Transformations (18/61)2.2 Orientation Representation (14/61)2.3 Chapter Summary 61 References (12/61)Chapter 3 Interpolation and Basic Techniques (12/61)3.1 Interpolation (12/61)3.2 Controlling the Motion Along a Curve (11/61)3.3 Interpolation of Rotations Represented by Quaternions (5/61)3.4 Path Following (4/61)3.5 Key-Frame Systems (1/61)
Preface (26/61)
Chapter 1 Introduction (25/61)1.1 Perception (25/61)1.2 The Heritage of Animation (25/61)1.3 Animation Production (23/61)1.4 A Brief History of Computer Animation (21/61)1.5 Chapter Summary (20/61)References (20/61)Chapter 2 Technical Background (19/61)2.1 Spaces and Transformations (19/61)2.2 Orientation Representation (15/61)2.3 Chapter Summary 61 References (13/61)Chapter 3 Interpolation and Basic Techniques (13/61)3.1 Interpolation (13/61)3.2 Controlling the Motion Along a Curve (12/61)3.3 Interpolation of Rotations Represented by Quaternions (6/61)3.4 Path Following (5/61)3.5 Key-Frame Systems (2/61)3.6 Animation Languages (1/61)3.7 Deforming Objects (1/61)
Preface (27/61)
Chapter 1 Introduction (26/61)1.1 Perception (26/61)1.2 The Heritage of Animation (26/61)1.3 Animation Production (24/61)1.4 A Brief History of Computer Animation (22/61)1.5 Chapter Summary (21/61)References (21/61)Chapter 2 Technical Background (20/61)2.1 Spaces and Transformations (20/61)2.2 Orientation Representation (16/61)2.3 Chapter Summary 61 References (14/61)Chapter 3 Interpolation and Basic Techniques (14/61)3.1 Interpolation (14/61)3.2 Controlling the Motion Along a Curve (13/61)3.3 Interpolation of Rotations Represented by Quaternions (7/61)3.4 Path Following (6/61)3.5 Key-Frame Systems (3/61)3.6 Animation Languages (2/61)3.7 Deforming Objects (2/61)
Preface (28/61)
Chapter 1 Introduction (27/61)1.1 Perception (27/61)1.2 The Heritage of Animation (27/61)1.3 Animation Production (25/61)1.4 A Brief History of Computer Animation (23/61)1.5 Chapter Summary (22/61)References (22/61)Chapter 2 Technical Background (21/61)2.1 Spaces and Transformations (21/61)2.2 Orientation Representation (17/61)2.3 Chapter Summary 61 References (15/61)Chapter 3 Interpolation and Basic Techniques (15/61)3.1 Interpolation (15/61)3.2 Controlling the Motion Along a Curve (14/61)3.3 Interpolation of Rotations Represented by Quaternions (8/61)3.4 Path Following (7/61)3.5 Key-Frame Systems (4/61)3.6 Animation Languages (3/61)3.7 Deforming Objects (3/61)
Preface (29/61)
Chapter 1 Introduction (28/61)1.1 Perception (28/61)1.2 The Heritage of Animation (28/61)1.3 Animation Production (26/61)1.4 A Brief History of Computer Animation (24/61)1.5 Chapter Summary (23/61)References (23/61)Chapter 2 Technical Background (22/61)2.1 Spaces and Transformations (22/61)2.2 Orientation Representation (18/61)2.3 Chapter Summary 61 References (16/61)Chapter 3 Interpolation and Basic Techniques (16/61)3.1 Interpolation (16/61)3.2 Controlling the Motion Along a Curve (15/61)3.3 Interpolation of Rotations Represented by Quaternions (9/61)3.4 Path Following (8/61)3.5 Key-Frame Systems (5/61)3.6 Animation Languages (4/61)3.7 Deforming Objects (4/61)
Preface (30/61)
Chapter 1 Introduction (29/61)1.1 Perception (29/61)1.2 The Heritage of Animation (29/61)1.3 Animation Production (27/61)1.4 A Brief History of Computer Animation (25/61)1.5 Chapter Summary (24/61)References (24/61)Chapter 2 Technical Background (23/61)2.1 Spaces and Transformations (23/61)2.2 Orientation Representation (19/61)2.3 Chapter Summary 61 References (17/61)Chapter 3 Interpolation and Basic Techniques (17/61)3.1 Interpolation (17/61)3.2 Controlling the Motion Along a Curve (16/61)3.3 Interpolation of Rotations Represented by Quaternions (10/61)3.4 Path Following (9/61)3.5 Key-Frame Systems (6/61)3.6 Animation Languages (5/61)3.7 Deforming Objects (5/61)3.8 Morphing(2D) (1/61)
Preface (31/61)
Chapter 1 Introduction (30/61)1.1 Perception (30/61)1.2 The Heritage of Animation (30/61)1.3 Animation Production (28/61)1.4 A Brief History of Computer Animation (26/61)1.5 Chapter Summary (25/61)References (25/61)Chapter 2 Technical Background (24/61)2.1 Spaces and Transformations (24/61)2.2 Orientation Representation (20/61)2.3 Chapter Summary 61 References (18/61)Chapter 3 Interpolation and Basic Techniques (18/61)3.1 Interpolation (18/61)3.2 Controlling the Motion Along a Curve (17/61)3.3 Interpolation of Rotations Represented by Quaternions (11/61)3.4 Path Following (10/61)3.5 Key-Frame Systems (7/61)3.6 Animation Languages (6/61)3.7 Deforming Objects (6/61)3.8 Morphing(2D) (2/61)
Preface (32/61)
Chapter 1 Introduction (31/61)1.1 Perception (31/61)1.2 The Heritage of Animation (31/61)1.3 Animation Production (29/61)1.4 A Brief History of Computer Animation (27/61)1.5 Chapter Summary (26/61)References (26/61)Chapter 2 Technical Background (25/61)2.1 Spaces and Transformations (25/61)2.2 Orientation Representation (21/61)2.3 Chapter Summary 61 References (19/61)Chapter 3 Interpolation and Basic Techniques (19/61)3.1 Interpolation (19/61)3.2 Controlling the Motion Along a Curve (18/61)3.3 Interpolation of Rotations Represented by Quaternions (12/61)3.4 Path Following (11/61)3.5 Key-Frame Systems (8/61)3.6 Animation Languages (7/61)3.7 Deforming Objects (7/61)3.8 Morphing(2D) (3/61)3.9 3D Shape Interpolation (1/61)
Preface (33/61)
Chapter 1 Introduction (32/61)1.1 Perception (32/61)1.2 The Heritage of Animation (32/61)1.3 Animation Production (30/61)1.4 A Brief History of Computer Animation (28/61)1.5 Chapter Summary (27/61)References (27/61)Chapter 2 Technical Background (26/61)2.1 Spaces and Transformations (26/61)2.2 Orientation Representation (22/61)2.3 Chapter Summary 61 References (20/61)Chapter 3 Interpolation and Basic Techniques (20/61)3.1 Interpolation (20/61)3.2 Controlling the Motion Along a Curve (19/61)3.3 Interpolation of Rotations Represented by Quaternions (13/61)3.4 Path Following (12/61)3.5 Key-Frame Systems (9/61)3.6 Animation Languages (8/61)3.7 Deforming Objects (8/61)3.8 Morphing(2D) (4/61)3.9 3D Shape Interpolation (2/61)
Preface (34/61)
Chapter 1 Introduction (33/61)1.1 Perception (33/61)1.2 The Heritage of Animation (33/61)1.3 Animation Production (31/61)1.4 A Brief History of Computer Animation (29/61)1.5 Chapter Summary (28/61)References (28/61)Chapter 2 Technical Background (27/61)2.1 Spaces and Transformations (27/61)2.2 Orientation Representation (23/61)2.3 Chapter Summary 61 References (21/61)Chapter 3 Interpolation and Basic Techniques (21/61)3.1 Interpolation (21/61)3.2 Controlling the Motion Along a Curve (20/61)3.3 Interpolation of Rotations Represented by Quaternions (14/61)3.4 Path Following (13/61)3.5 Key-Frame Systems (10/61)3.6 Animation Languages (9/61)3.7 Deforming Objects (9/61)3.8 Morphing(2D) (5/61)3.9 3D Shape Interpolation (3/61)
Preface (35/61)
Chapter 1 Introduction (34/61)1.1 Perception (34/61)1.2 The Heritage of Animation (34/61)1.3 Animation Production (32/61)1.4 A Brief History of Computer Animation (30/61)1.5 Chapter Summary (29/61)References (29/61)Chapter 2 Technical Background (28/61)2.1 Spaces and Transformations (28/61)2.2 Orientation Representation (24/61)2.3 Chapter Summary 61 References (22/61)Chapter 3 Interpolation and Basic Techniques (22/61)3.1 Interpolation (22/61)3.2 Controlling the Motion Along a Curve (21/61)3.3 Interpolation of Rotations Represented by Quaternions (15/61)3.4 Path Following (14/61)3.5 Key-Frame Systems (11/61)3.6 Animation Languages (10/61)3.7 Deforming Objects (10/61)3.8 Morphing(2D) (6/61)3.9 3D Shape Interpolation (4/61)3.10 Chapter Summary (1/61)
Preface (36/61)
Chapter 1 Introduction (35/61)1.1 Perception (35/61)1.2 The Heritage of Animation (35/61)1.3 Animation Production (33/61)1.4 A Brief History of Computer Animation (31/61)1.5 Chapter Summary (30/61)References (30/61)Chapter 2 Technical Background (29/61)2.1 Spaces and Transformations (29/61)2.2 Orientation Representation (25/61)2.3 Chapter Summary 61 References (23/61)Chapter 3 Interpolation and Basic Techniques (23/61)3.1 Interpolation (23/61)3.2 Controlling the Motion Along a Curve (22/61)3.3 Interpolation of Rotations Represented by Quaternions (16/61)3.4 Path Following (15/61)3.5 Key-Frame Systems (12/61)3.6 Animation Languages (11/61)3.7 Deforming Objects (11/61)3.8 Morphing(2D) (7/61)3.9 3D Shape Interpolation (5/61)3.10 Chapter Summary (2/61)References (1/61)Chapter 4 Advanced Algorithms (1/61)4.1 Automatic Camera Control (1/61)
Preface (37/61)
Chapter 1 Introduction (36/61)1.1 Perception (36/61)1.2 The Heritage of Animation (36/61)1.3 Animation Production (34/61)1.4 A Brief History of Computer Animation (32/61)1.5 Chapter Summary (31/61)References (31/61)Chapter 2 Technical Background (30/61)2.1 Spaces and Transformations (30/61)2.2 Orientation Representation (26/61)2.3 Chapter Summary 61 References (24/61)Chapter 3 Interpolation and Basic Techniques (24/61)3.1 Interpolation (24/61)3.2 Controlling the Motion Along a Curve (23/61)3.3 Interpolation of Rotations Represented by Quaternions (17/61)3.4 Path Following (16/61)3.5 Key-Frame Systems (13/61)3.6 Animation Languages (12/61)3.7 Deforming Objects (12/61)3.8 Morphing(2D) (8/61)3.9 3D Shape Interpolation (6/61)3.10 Chapter Summary (3/61)References (2/61)Chapter 4 Advanced Algorithms (2/61)4.1 Automatic Camera Control (2/61)4.2 Hierarchical Kinematic Modeling (1/61)
Preface (38/61)
Chapter 1 Introduction (37/61)1.1 Perception (37/61)1.2 The Heritage of Animation (37/61)1.3 Animation Production (35/61)1.4 A Brief History of Computer Animation (33/61)1.5 Chapter Summary (32/61)References (32/61)Chapter 2 Technical Background (31/61)2.1 Spaces and Transformations (31/61)2.2 Orientation Representation (27/61)2.3 Chapter Summary 61 References (25/61)Chapter 3 Interpolation and Basic Techniques (25/61)3.1 Interpolation (25/61)3.2 Controlling the Motion Along a Curve (24/61)3.3 Interpolation of Rotations Represented by Quaternions (18/61)3.4 Path Following (17/61)3.5 Key-Frame Systems (14/61)3.6 Animation Languages (13/61)3.7 Deforming Objects (13/61)3.8 Morphing(2D) (9/61)3.9 3D Shape Interpolation (7/61)3.10 Chapter Summary (4/61)References (3/61)Chapter 4 Advanced Algorithms (3/61)4.1 Automatic Camera Control (3/61)4.2 Hierarchical Kinematic Modeling (2/61)
Preface (39/61)
Chapter 1 Introduction (38/61)1.1 Perception (38/61)1.2 The Heritage of Animation (38/61)1.3 Animation Production (36/61)1.4 A Brief History of Computer Animation (34/61)1.5 Chapter Summary (33/61)References (33/61)Chapter 2 Technical Background (32/61)2.1 Spaces and Transformations (32/61)2.2 Orientation Representation (28/61)2.3 Chapter Summary 61 References (26/61)Chapter 3 Interpolation and Basic Techniques (26/61)3.1 Interpolation (26/61)3.2 Controlling the Motion Along a Curve (25/61)3.3 Interpolation of Rotations Represented by Quaternions (19/61)3.4 Path Following (18/61)3.5 Key-Frame Systems (15/61)3.6 Animation Languages (14/61)3.7 Deforming Objects (14/61)3.8 Morphing(2D) (10/61)3.9 3D Shape Interpolation (8/61)3.10 Chapter Summary (5/61)References (4/61)Chapter 4 Advanced Algorithms (4/61)4.1 Automatic Camera Control (4/61)4.2 Hierarchical Kinematic Modeling (3/61)
Preface (40/61)
Chapter 1 Introduction (39/61)1.1 Perception (39/61)1.2 The Heritage of Animation (39/61)1.3 Animation Production (37/61)1.4 A Brief History of Computer Animation (35/61)1.5 Chapter Summary (34/61)References (34/61)Chapter 2 Technical Background (33/61)2.1 Spaces and Transformations (33/61)2.2 Orientation Representation (29/61)2.3 Chapter Summary 61 References (27/61)Chapter 3 Interpolation and Basic Techniques (27/61)3.1 Interpolation (27/61)3.2 Controlling the Motion Along a Curve (26/61)3.3 Interpolation of Rotations Represented by Quaternions (20/61)3.4 Path Following (19/61)3.5 Key-Frame Systems (16/61)3.6 Animation Languages (15/61)3.7 Deforming Objects (15/61)3.8 Morphing(2D) (11/61)3.9 3D Shape Interpolation (9/61)3.10 Chapter Summary (6/61)References (5/61)Chapter 4 Advanced Algorithms (5/61)4.1 Automatic Camera Control (5/61)4.2 Hierarchical Kinematic Modeling (4/61)
Preface (41/61)
Chapter 1 Introduction (40/61)1.1 Perception (40/61)1.2 The Heritage of Animation (40/61)1.3 Animation Production (38/61)1.4 A Brief History of Computer Animation (36/61)1.5 Chapter Summary (35/61)References (35/61)Chapter 2 Technical Background (34/61)2.1 Spaces and Transformations (34/61)2.2 Orientation Representation (30/61)2.3 Chapter Summary 61 References (28/61)Chapter 3 Interpolation and Basic Techniques (28/61)3.1 Interpolation (28/61)3.2 Controlling the Motion Along a Curve (27/61)3.3 Interpolation of Rotations Represented by Quaternions (21/61)3.4 Path Following (20/61)3.5 Key-Frame Systems (17/61)3.6 Animation Languages (16/61)3.7 Deforming Objects (16/61)3.8 Morphing(2D) (12/61)3.9 3D Shape Interpolation (10/61)3.10 Chapter Summary (7/61)References (6/61)Chapter 4 Advanced Algorithms (6/61)4.1 Automatic Camera Control (6/61)4.2 Hierarchical Kinematic Modeling (5/61)
Preface (42/61)
Chapter 1 Introduction (41/61)1.1 Perception (41/61)1.2 The Heritage of Animation (41/61)1.3 Animation Production (39/61)1.4 A Brief History of Computer Animation (37/61)1.5 Chapter Summary (36/61)References (36/61)Chapter 2 Technical Background (35/61)2.1 Spaces and Transformations (35/61)2.2 Orientation Representation (31/61)2.3 Chapter Summary 61 References (29/61)Chapter 3 Interpolation and Basic Techniques (29/61)3.1 Interpolation (29/61)3.2 Controlling the Motion Along a Curve (28/61)3.3 Interpolation of Rotations Represented by Quaternions (22/61)3.4 Path Following (21/61)3.5 Key-Frame Systems (18/61)3.6 Animation Languages (17/61)3.7 Deforming Objects (17/61)3.8 Morphing(2D) (13/61)3.9 3D Shape Interpolation (11/61)3.10 Chapter Summary (8/61)References (7/61)Chapter 4 Advanced Algorithms (7/61)4.1 Automatic Camera Control (7/61)4.2 Hierarchical Kinematic Modeling (6/61)4.3 Rigid Body Simulation (1/61)
Preface (43/61)
Chapter 1 Introduction (42/61)1.1 Perception (42/61)1.2 The Heritage of Animation (42/61)1.3 Animation Production (40/61)1.4 A Brief History of Computer Animation (38/61)1.5 Chapter Summary (37/61)References (37/61)Chapter 2 Technical Background (36/61)2.1 Spaces and Transformations (36/61)2.2 Orientation Representation (32/61)2.3 Chapter Summary 61 References (30/61)Chapter 3 Interpolation and Basic Techniques (30/61)3.1 Interpolation (30/61)3.2 Controlling the Motion Along a Curve (29/61)3.3 Interpolation of Rotations Represented by Quaternions (23/61)3.4 Path Following (22/61)3.5 Key-Frame Systems (19/61)3.6 Animation Languages (18/61)3.7 Deforming Objects (18/61)3.8 Morphing(2D) (14/61)3.9 3D Shape Interpolation (12/61)3.10 Chapter Summary (9/61)References (8/61)Chapter 4 Advanced Algorithms (8/61)4.1 Automatic Camera Control (8/61)4.2 Hierarchical Kinematic Modeling (7/61)4.3 Rigid Body Simulation (2/61)
Preface (44/61)
Chapter 1 Introduction (43/61)1.1 Perception (43/61)1.2 The Heritage of Animation (43/61)1.3 Animation Production (41/61)1.4 A Brief History of Computer Animation (39/61)1.5 Chapter Summary (38/61)References (38/61)Chapter 2 Technical Background (37/61)2.1 Spaces and Transformations (37/61)2.2 Orientation Representation (33/61)2.3 Chapter Summary 61 References (31/61)Chapter 3 Interpolation and Basic Techniques (31/61)3.1 Interpolation (31/61)3.2 Controlling the Motion Along a Curve (30/61)3.3 Interpolation of Rotations Represented by Quaternions (24/61)3.4 Path Following (23/61)3.5 Key-Frame Systems (20/61)3.6 Animation Languages (19/61)3.7 Deforming Objects (19/61)3.8 Morphing(2D) (15/61)3.9 3D Shape Interpolation (13/61)3.10 Chapter Summary (10/61)References (9/61)Chapter 4 Advanced Algorithms (9/61)4.1 Automatic Camera Control (9/61)4.2 Hierarchical Kinematic Modeling (8/61)4.3 Rigid Body Simulation (3/61)
Preface (45/61)
Chapter 1 Introduction (44/61)1.1 Perception (44/61)1.2 The Heritage of Animation (44/61)1.3 Animation Production (42/61)1.4 A Brief History of Computer Animation (40/61)1.5 Chapter Summary (39/61)References (39/61)Chapter 2 Technical Background (38/61)2.1 Spaces and Transformations (38/61)2.2 Orientation Representation (34/61)2.3 Chapter Summary 61 References (32/61)Chapter 3 Interpolation and Basic Techniques (32/61)3.1 Interpolation (32/61)3.2 Controlling the Motion Along a Curve (31/61)3.3 Interpolation of Rotations Represented by Quaternions (25/61)3.4 Path Following (24/61)3.5 Key-Frame Systems (21/61)3.6 Animation Languages (20/61)3.7 Deforming Objects (20/61)3.8 Morphing(2D) (16/61)3.9 3D Shape Interpolation (14/61)3.10 Chapter Summary (11/61)References (10/61)Chapter 4 Advanced Algorithms (10/61)4.1 Automatic Camera Control (10/61)4.2 Hierarchical Kinematic Modeling (9/61)4.3 Rigid Body Simulation (4/61)
Preface (46/61)
Chapter 1 Introduction (45/61)1.1 Perception (45/61)1.2 The Heritage of Animation (45/61)1.3 Animation Production (43/61)1.4 A Brief History of Computer Animation (41/61)1.5 Chapter Summary (40/61)References (40/61)Chapter 2 Technical Background (39/61)2.1 Spaces and Transformations (39/61)2.2 Orientation Representation (35/61)2.3 Chapter Summary 61 References (33/61)Chapter 3 Interpolation and Basic Techniques (33/61)3.1 Interpolation (33/61)3.2 Controlling the Motion Along a Curve (32/61)3.3 Interpolation of Rotations Represented by Quaternions (26/61)3.4 Path Following (25/61)3.5 Key-Frame Systems (22/61)3.6 Animation Languages (21/61)3.7 Deforming Objects (21/61)3.8 Morphing(2D) (17/61)3.9 3D Shape Interpolation (15/61)3.10 Chapter Summary (12/61)References (11/61)Chapter 4 Advanced Algorithms (11/61)4.1 Automatic Camera Control (11/61)4.2 Hierarchical Kinematic Modeling (10/61)4.3 Rigid Body Simulation (5/61)
Preface (47/61)
Chapter 1 Introduction (46/61)1.1 Perception (46/61)1.2 The Heritage of Animation (46/61)1.3 Animation Production (44/61)1.4 A Brief History of Computer Animation (42/61)1.5 Chapter Summary (41/61)References (41/61)Chapter 2 Technical Background (40/61)2.1 Spaces and Transformations (40/61)2.2 Orientation Representation (36/61)2.3 Chapter Summary 61 References (34/61)Chapter 3 Interpolation and Basic Techniques (34/61)3.1 Interpolation (34/61)3.2 Controlling the Motion Along a Curve (33/61)3.3 Interpolation of Rotations Represented by Quaternions (27/61)3.4 Path Following (26/61)3.5 Key-Frame Systems (23/61)3.6 Animation Languages (22/61)3.7 Deforming Objects (22/61)3.8 Morphing(2D) (18/61)3.9 3D Shape Interpolation (16/61)3.10 Chapter Summary (13/61)References (12/61)Chapter 4 Advanced Algorithms (12/61)4.1 Automatic Camera Control (12/61)4.2 Hierarchical Kinematic Modeling (11/61)4.3 Rigid Body Simulation (6/61)
Preface (48/61)
Chapter 1 Introduction (47/61)1.1 Perception (47/61)1.2 The Heritage of Animation (47/61)1.3 Animation Production (45/61)1.4 A Brief History of Computer Animation (43/61)1.5 Chapter Summary (42/61)References (42/61)Chapter 2 Technical Background (41/61)2.1 Spaces and Transformations (41/61)2.2 Orientation Representation (37/61)2.3 Chapter Summary 61 References (35/61)Chapter 3 Interpolation and Basic Techniques (35/61)3.1 Interpolation (35/61)3.2 Controlling the Motion Along a Curve (34/61)3.3 Interpolation of Rotations Represented by Quaternions (28/61)3.4 Path Following (27/61)3.5 Key-Frame Systems (24/61)3.6 Animation Languages (23/61)3.7 Deforming Objects (23/61)3.8 Morphing(2D) (19/61)3.9 3D Shape Interpolation (17/61)3.10 Chapter Summary (14/61)References (13/61)Chapter 4 Advanced Algorithms (13/61)4.1 Automatic Camera Control (13/61)4.2 Hierarchical Kinematic Modeling (12/61)4.3 Rigid Body Simulation (7/61)4.4 Enforcing Soft and Hard Constraints (1/61)
Preface (49/61)
Chapter 1 Introduction (48/61)1.1 Perception (48/61)1.2 The Heritage of Animation (48/61)1.3 Animation Production (46/61)1.4 A Brief History of Computer Animation (44/61)1.5 Chapter Summary (43/61)References (43/61)Chapter 2 Technical Background (42/61)2.1 Spaces and Transformations (42/61)2.2 Orientation Representation (38/61)2.3 Chapter Summary 61 References (36/61)Chapter 3 Interpolation and Basic Techniques (36/61)3.1 Interpolation (36/61)3.2 Controlling the Motion Along a Curve (35/61)3.3 Interpolation of Rotations Represented by Quaternions (29/61)3.4 Path Following (28/61)3.5 Key-Frame Systems (25/61)3.6 Animation Languages (24/61)3.7 Deforming Objects (24/61)3.8 Morphing(2D) (20/61)3.9 3D Shape Interpolation (18/61)3.10 Chapter Summary (15/61)References (14/61)Chapter 4 Advanced Algorithms (14/61)4.1 Automatic Camera Control (14/61)4.2 Hierarchical Kinematic Modeling (13/61)4.3 Rigid Body Simulation (8/61)4.4 Enforcing Soft and Hard Constraints (2/61)
Preface (50/61)
Chapter 1 Introduction (49/61)1.1 Perception (49/61)1.2 The Heritage of Animation (49/61)1.3 Animation Production (47/61)1.4 A Brief History of Computer Animation (45/61)1.5 Chapter Summary (44/61)References (44/61)Chapter 2 Technical Background (43/61)2.1 Spaces and Transformations (43/61)2.2 Orientation Representation (39/61)2.3 Chapter Summary 61 References (37/61)Chapter 3 Interpolation and Basic Techniques (37/61)3.1 Interpolation (37/61)3.2 Controlling the Motion Along a Curve (36/61)3.3 Interpolation of Rotations Represented by Quaternions (30/61)3.4 Path Following (29/61)3.5 Key-Frame Systems (26/61)3.6 Animation Languages (25/61)3.7 Deforming Objects (25/61)3.8 Morphing(2D) (21/61)3.9 3D Shape Interpolation (19/61)3.10 Chapter Summary (16/61)References (15/61)Chapter 4 Advanced Algorithms (15/61)4.1 Automatic Camera Control (15/61)4.2 Hierarchical Kinematic Modeling (14/61)4.3 Rigid Body Simulation (9/61)4.4 Enforcing Soft and Hard Constraints (3/61)4.5 Controlling Groups of Objects (1/61)
Preface (51/61)
Chapter 1 Introduction (50/61)1.1 Perception (50/61)1.2 The Heritage of Animation (50/61)1.3 Animation Production (48/61)1.4 A Brief History of Computer Animation (46/61)1.5 Chapter Summary (45/61)References (45/61)Chapter 2 Technical Background (44/61)2.1 Spaces and Transformations (44/61)2.2 Orientation Representation (40/61)2.3 Chapter Summary 61 References (38/61)Chapter 3 Interpolation and Basic Techniques (38/61)3.1 Interpolation (38/61)3.2 Controlling the Motion Along a Curve (37/61)3.3 Interpolation of Rotations Represented by Quaternions (31/61)3.4 Path Following (30/61)3.5 Key-Frame Systems (27/61)3.6 Animation Languages (26/61)3.7 Deforming Objects (26/61)3.8 Morphing(2D) (22/61)3.9 3D Shape Interpolation (20/61)3.10 Chapter Summary (17/61)References (16/61)Chapter 4 Advanced Algorithms (16/61)4.1 Automatic Camera Control (16/61)4.2 Hierarchical Kinematic Modeling (15/61)4.3 Rigid Body Simulation (10/61)4.4 Enforcing Soft and Hard Constraints (4/61)4.5 Controlling Groups of Objects (2/61)
Preface (52/61)
Chapter 1 Introduction (51/61)1.1 Perception (51/61)1.2 The Heritage of Animation (51/61)1.3 Animation Production (49/61)1.4 A Brief History of Computer Animation (47/61)1.5 Chapter Summary (46/61)References (46/61)Chapter 2 Technical Background (45/61)2.1 Spaces and Transformations (45/61)2.2 Orientation Representation (41/61)2.3 Chapter Summary 61 References (39/61)Chapter 3 Interpolation and Basic Techniques (39/61)3.1 Interpolation (39/61)3.2 Controlling the Motion Along a Curve (38/61)3.3 Interpolation of Rotations Represented by Quaternions (32/61)3.4 Path Following (31/61)3.5 Key-Frame Systems (28/61)3.6 Animation Languages (27/61)3.7 Deforming Objects (27/61)3.8 Morphing(2D) (23/61)3.9 3D Shape Interpolation (21/61)3.10 Chapter Summary (18/61)References (17/61)Chapter 4 Advanced Algorithms (17/61)4.1 Automatic Camera Control (17/61)4.2 Hierarchical Kinematic Modeling (16/61)4.3 Rigid Body Simulation (11/61)4.4 Enforcing Soft and Hard Constraints (5/61)4.5 Controlling Groups of Objects (3/61)
Preface (53/61)
Chapter 1 Introduction (52/61)1.1 Perception (52/61)1.2 The Heritage of Animation (52/61)1.3 Animation Production (50/61)1.4 A Brief History of Computer Animation (48/61)1.5 Chapter Summary (47/61)References (47/61)Chapter 2 Technical Background (46/61)2.1 Spaces and Transformations (46/61)2.2 Orientation Representation (42/61)2.3 Chapter Summary 61 References (40/61)Chapter 3 Interpolation and Basic Techniques (40/61)3.1 Interpolation (40/61)3.2 Controlling the Motion Along a Curve (39/61)3.3 Interpolation of Rotations Represented by Quaternions (33/61)3.4 Path Following (32/61)3.5 Key-Frame Systems (29/61)3.6 Animation Languages (28/61)3.7 Deforming Objects (28/61)3.8 Morphing(2D) (24/61)3.9 3D Shape Interpolation (22/61)3.10 Chapter Summary (19/61)References (18/61)Chapter 4 Advanced Algorithms (18/61)4.1 Automatic Camera Control (18/61)4.2 Hierarchical Kinematic Modeling (17/61)4.3 Rigid Body Simulation (12/61)4.4 Enforcing Soft and Hard Constraints (6/61)4.5 Controlling Groups of Objects (4/61)
Preface (54/61)
Chapter 1 Introduction (53/61)1.1 Perception (53/61)1.2 The Heritage of Animation (53/61)1.3 Animation Production (51/61)1.4 A Brief History of Computer Animation (49/61)1.5 Chapter Summary (48/61)References (48/61)Chapter 2 Technical Background (47/61)2.1 Spaces and Transformations (47/61)2.2 Orientation Representation (43/61)2.3 Chapter Summary 61 References (41/61)Chapter 3 Interpolation and Basic Techniques (41/61)3.1 Interpolation (41/61)3.2 Controlling the Motion Along a Curve (40/61)3.3 Interpolation of Rotations Represented by Quaternions (34/61)3.4 Path Following (33/61)3.5 Key-Frame Systems (30/61)3.6 Animation Languages (29/61)3.7 Deforming Objects (29/61)3.8 Morphing(2D) (25/61)3.9 3D Shape Interpolation (23/61)3.10 Chapter Summary (20/61)References (19/61)Chapter 4 Advanced Algorithms (19/61)4.1 Automatic Camera Control (19/61)4.2 Hierarchical Kinematic Modeling (18/61)4.3 Rigid Body Simulation (13/61)4.4 Enforcing Soft and Hard Constraints (7/61)4.5 Controlling Groups of Objects (5/61)4.6 Implicit Surfaces (1/61)
Preface (55/61)
Chapter 1 Introduction (54/61)1.1 Perception (54/61)1.2 The Heritage of Animation (54/61)1.3 Animation Production (52/61)1.4 A Brief History of Computer Animation (50/61)1.5 Chapter Summary (49/61)References (49/61)Chapter 2 Technical Background (48/61)2.1 Spaces and Transformations (48/61)2.2 Orientation Representation (44/61)2.3 Chapter Summary 61 References (42/61)Chapter 3 Interpolation and Basic Techniques (42/61)3.1 Interpolation (42/61)3.2 Controlling the Motion Along a Curve (41/61)3.3 Interpolation of Rotations Represented by Quaternions (35/61)3.4 Path Following (34/61)3.5 Key-Frame Systems (31/61)3.6 Animation Languages (30/61)3.7 Deforming Objects (30/61)3.8 Morphing(2D) (26/61)3.9 3D Shape Interpolation (24/61)3.10 Chapter Summary (21/61)References (20/61)Chapter 4 Advanced Algorithms (20/61)4.1 Automatic Camera Control (20/61)4.2 Hierarchical Kinematic Modeling (19/61)4.3 Rigid Body Simulation (14/61)4.4 Enforcing Soft and Hard Constraints (8/61)4.5 Controlling Groups of Objects (6/61)4.6 Implicit Surfaces (2/61)4.7 Chapter Summary (1/61)References (1/61)
Preface (56/61)
Chapter 1 Introduction (55/61)1.1 Perception (55/61)1.2 The Heritage of Animation (55/61)1.3 Animation Production (53/61)1.4 A Brief History of Computer Animation (51/61)1.5 Chapter Summary (50/61)References (50/61)Chapter 2 Technical Background (49/61)2.1 Spaces and Transformations (49/61)2.2 Orientation Representation (45/61)2.3 Chapter Summary 61 References (43/61)Chapter 3 Interpolation and Basic Techniques (43/61)3.1 Interpolation (43/61)3.2 Controlling the Motion Along a Curve (42/61)3.3 Interpolation of Rotations Represented by Quaternions (36/61)3.4 Path Following (35/61)3.5 Key-Frame Systems (32/61)3.6 Animation Languages (31/61)3.7 Deforming Objects (31/61)3.8 Morphing(2D) (27/61)3.9 3D Shape Interpolation (25/61)3.10 Chapter Summary (22/61)References (21/61)Chapter 4 Advanced Algorithms (21/61)4.1 Automatic Camera Control (21/61)4.2 Hierarchical Kinematic Modeling (20/61)4.3 Rigid Body Simulation (15/61)4.4 Enforcing Soft and Hard Constraints (9/61)4.5 Controlling Groups of Objects (7/61)4.6 Implicit Surfaces (3/61)4.7 Chapter Summary (2/61)References (2/61)Chapter 5 Natural Phenomena (1/61)5.1 Plants (1/61)
Preface (57/61)
Chapter 1 Introduction (56/61)1.1 Perception (56/61)1.2 The Heritage of Animation (56/61)1.3 Animation Production (54/61)1.4 A Brief History of Computer Animation (52/61)1.5 Chapter Summary (51/61)References (51/61)Chapter 2 Technical Background (50/61)2.1 Spaces and Transformations (50/61)2.2 Orientation Representation (46/61)2.3 Chapter Summary 61 References (44/61)Chapter 3 Interpolation and Basic Techniques (44/61)3.1 Interpolation (44/61)3.2 Controlling the Motion Along a Curve (43/61)3.3 Interpolation of Rotations Represented by Quaternions (37/61)3.4 Path Following (36/61)3.5 Key-Frame Systems (33/61)3.6 Animation Languages (32/61)3.7 Deforming Objects (32/61)3.8 Morphing(2D) (28/61)3.9 3D Shape Interpolation (26/61)3.10 Chapter Summary (23/61)References (22/61)Chapter 4 Advanced Algorithms (22/61)4.1 Automatic Camera Control (22/61)4.2 Hierarchical Kinematic Modeling (21/61)4.3 Rigid Body Simulation (16/61)4.4 Enforcing Soft and Hard Constraints (10/61)4.5 Controlling Groups of Objects (8/61)4.6 Implicit Surfaces (4/61)4.7 Chapter Summary (3/61)References (3/61)Chapter 5 Natural Phenomena (2/61)5.1 Plants (2/61)
Preface (58/61)
Chapter 1 Introduction (57/61)1.1 Perception (57/61)1.2 The Heritage of Animation (57/61)1.3 Animation Production (55/61)1.4 A Brief History of Computer Animation (53/61)1.5 Chapter Summary (52/61)References (52/61)Chapter 2 Technical Background (51/61)2.1 Spaces and Transformations (51/61)2.2 Orientation Representation (47/61)2.3 Chapter Summary 61 References (45/61)Chapter 3 Interpolation and Basic Techniques (45/61)3.1 Interpolation (45/61)3.2 Controlling the Motion Along a Curve (44/61)3.3 Interpolation of Rotations Represented by Quaternions (38/61)3.4 Path Following (37/61)3.5 Key-Frame Systems (34/61)3.6 Animation Languages (33/61)3.7 Deforming Objects (33/61)3.8 Morphing(2D) (29/61)3.9 3D Shape Interpolation (27/61)3.10 Chapter Summary (24/61)References (23/61)Chapter 4 Advanced Algorithms (23/61)4.1 Automatic Camera Control (23/61)4.2 Hierarchical Kinematic Modeling (22/61)4.3 Rigid Body Simulation (17/61)4.4 Enforcing Soft and Hard Constraints (11/61)4.5 Controlling Groups of Objects (9/61)4.6 Implicit Surfaces (5/61)4.7 Chapter Summary (4/61)References (4/61)Chapter 5 Natural Phenomena (3/61)5.1 Plants (3/61)5.2 Water (1/61)
Preface (59/61)
Chapter 1 Introduction (58/61)1.1 Perception (58/61)1.2 The Heritage of Animation (58/61)1.3 Animation Production (56/61)1.4 A Brief History of Computer Animation (54/61)1.5 Chapter Summary (53/61)References (53/61)Chapter 2 Technical Background (52/61)2.1 Spaces and Transformations (52/61)2.2 Orientation Representation (48/61)2.3 Chapter Summary 61 References (46/61)Chapter 3 Interpolation and Basic Techniques (46/61)3.1 Interpolation (46/61)3.2 Controlling the Motion Along a Curve (45/61)3.3 Interpolation of Rotations Represented by Quaternions (39/61)3.4 Path Following (38/61)3.5 Key-Frame Systems (35/61)3.6 Animation Languages (34/61)3.7 Deforming Objects (34/61)3.8 Morphing(2D) (30/61)3.9 3D Shape Interpolation (28/61)3.10 Chapter Summary (25/61)References (24/61)Chapter 4 Advanced Algorithms (24/61)4.1 Automatic Camera Control (24/61)4.2 Hierarchical Kinematic Modeling (23/61)4.3 Rigid Body Simulation (18/61)4.4 Enforcing Soft and Hard Constraints (12/61)4.5 Controlling Groups of Objects (10/61)4.6 Implicit Surfaces (6/61)4.7 Chapter Summary (5/61)References (5/61)Chapter 5 Natural Phenomena (4/61)5.1 Plants (4/61)5.2 Water (2/61)
Preface (60/61)
Chapter 1 Introduction (59/61)1.1 Perception (59/61)1.2 The Heritage of Animation (59/61)1.3 Animation Production (57/61)1.4 A Brief History of Computer Animation (55/61)1.5 Chapter Summary (54/61)References (54/61)Chapter 2 Technical Background (53/61)2.1 Spaces and Transformations (53/61)2.2 Orientation Representation (49/61)2.3 Chapter Summary 61 References (47/61)Chapter 3 Interpolation and Basic Techniques (47/61)3.1 Interpolation (47/61)3.2 Controlling the Motion Along a Curve (46/61)3.3 Interpolation of Rotations Represented by Quaternions (40/61)3.4 Path Following (39/61)3.5 Key-Frame Systems (36/61)3.6 Animation Languages (35/61)3.7 Deforming Objects (35/61)3.8 Morphing(2D) (31/61)3.9 3D Shape Interpolation (29/61)3.10 Chapter Summary (26/61)References (25/61)Chapter 4 Advanced Algorithms (25/61)4.1 Automatic Camera Control (25/61)4.2 Hierarchical Kinematic Modeling (24/61)4.3 Rigid Body Simulation (19/61)4.4 Enforcing Soft and Hard Constraints (13/61)4.5 Controlling Groups of Objects (11/61)4.6 Implicit Surfaces (7/61)4.7 Chapter Summary (6/61)References (6/61)Chapter 5 Natural Phenomena (5/61)5.1 Plants (5/61)5.2 Water (3/61)
Preface (61/61)
Chapter 1 Introduction (60/61)1.1 Perception (60/61)1.2 The Heritage of Animation (60/61)1.3 Animation Production (58/61)1.4 A Brief History of Computer Animation (56/61)1.5 Chapter Summary (55/61)References (55/61)Chapter 2 Technical Background (54/61)2.1 Spaces and Transformations (54/61)2.2 Orientation Representation (50/61)2.3 Chapter Summary 61 References (48/61)Chapter 3 Interpolation and Basic Techniques (48/61)3.1 Interpolation (48/61)3.2 Controlling the Motion Along a Curve (47/61)3.3 Interpolation of Rotations Represented by Quaternions (41/61)3.4 Path Following (40/61)3.5 Key-Frame Systems (37/61)3.6 Animation Languages (36/61)3.7 Deforming Objects (36/61)3.8 Morphing(2D) (32/61)3.9 3D Shape Interpolation (30/61)3.10 Chapter Summary (27/61)References (26/61)Chapter 4 Advanced Algorithms (26/61)4.1 Automatic Camera Control (26/61)4.2 Hierarchical Kinematic Modeling (25/61)4.3 Rigid Body Simulation (20/61)4.4 Enforcing Soft and Hard Constraints (14/61)4.5 Controlling Groups of Objects (12/61)4.6 Implicit Surfaces (8/61)4.7 Chapter Summary (7/61)References (7/61)Chapter 5 Natural Phenomena (6/61)5.1 Plants (6/61)5.2 Water (4/61)5.3 Gaseous Phenomena (1/61)
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Chapter 1 Introduction (61/61)1.1 Perception (61/61)1.2 The Heritage of Animation (61/61)1.3 Animation Production (59/61)1.4 A Brief History of Computer Animation (57/61)1.5 Chapter Summary (56/61)References (56/61)Chapter 2 Technical Background (55/61)2.1 Spaces and Transformations (55/61)2.2 Orientation Representation (51/61)2.3 Chapter Summary 61 References (49/61)Chapter 3 Interpolation and Basic Techniques (49/61)3.1 Interpolation (49/61)3.2 Controlling the Motion Along a Curve (48/61)3.3 Interpolation of Rotations Represented by Quaternions (42/61)3.4 Path Following (41/61)3.5 Key-Frame Systems (38/61)3.6 Animation Languages (37/61)3.7 Deforming Objects (37/61)3.8 Morphing(2D) (33/61)3.9 3D Shape Interpolation (31/61)3.10 Chapter Summary (28/61)References (27/61)Chapter 4 Advanced Algorithms (27/61)4.1 Automatic Camera Control (27/61)4.2 Hierarchical Kinematic Modeling (26/61)4.3 Rigid Body Simulation (21/61)4.4 Enforcing Soft and Hard Constraints (15/61)4.5 Controlling Groups of Objects (13/61)4.6 Implicit Surfaces (9/61)4.7 Chapter Summary (8/61)References (8/61)Chapter 5 Natural Phenomena (7/61)5.1 Plants (7/61)5.2 Water (5/61)5.3 Gaseous Phenomena (2/61)
1.3 Animation Production (60/61)
1.4 A Brief History of Computer Animation (58/61)1.5 Chapter Summary (57/61)References (57/61)Chapter 2 Technical Background (56/61)2.1 Spaces and Transformations (56/61)2.2 Orientation Representation (52/61)2.3 Chapter Summary 61 References (50/61)Chapter 3 Interpolation and Basic Techniques (50/61)3.1 Interpolation (50/61)3.2 Controlling the Motion Along a Curve (49/61)3.3 Interpolation of Rotations Represented by Quaternions (43/61)3.4 Path Following (42/61)3.5 Key-Frame Systems (39/61)3.6 Animation Languages (38/61)3.7 Deforming Objects (38/61)3.8 Morphing(2D) (34/61)3.9 3D Shape Interpolation (32/61)3.10 Chapter Summary (29/61)References (28/61)Chapter 4 Advanced Algorithms (28/61)4.1 Automatic Camera Control (28/61)4.2 Hierarchical Kinematic Modeling (27/61)4.3 Rigid Body Simulation (22/61)4.4 Enforcing Soft and Hard Constraints (16/61)4.5 Controlling Groups of Objects (14/61)4.6 Implicit Surfaces (10/61)4.7 Chapter Summary (9/61)References (9/61)Chapter 5 Natural Phenomena (8/61)5.1 Plants (8/61)5.2 Water (6/61)5.3 Gaseous Phenomena (3/61)
1.3 Animation Production (61/61)
1.4 A Brief History of Computer Animation (59/61)1.5 Chapter Summary (58/61)References (58/61)Chapter 2 Technical Background (57/61)2.1 Spaces and Transformations (57/61)2.2 Orientation Representation (53/61)2.3 Chapter Summary 61 References (51/61)Chapter 3 Interpolation and Basic Techniques (51/61)3.1 Interpolation (51/61)3.2 Controlling the Motion Along a Curve (50/61)3.3 Interpolation of Rotations Represented by Quaternions (44/61)3.4 Path Following (43/61)3.5 Key-Frame Systems (40/61)3.6 Animation Languages (39/61)3.7 Deforming Objects (39/61)3.8 Morphing(2D) (35/61)3.9 3D Shape Interpolation (33/61)3.10 Chapter Summary (30/61)References (29/61)Chapter 4 Advanced Algorithms (29/61)4.1 Automatic Camera Control (29/61)4.2 Hierarchical Kinematic Modeling (28/61)4.3 Rigid Body Simulation (23/61)4.4 Enforcing Soft and Hard Constraints (17/61)4.5 Controlling Groups of Objects (15/61)4.6 Implicit Surfaces (11/61)4.7 Chapter Summary (10/61)References (10/61)Chapter 5 Natural Phenomena (9/61)5.1 Plants (9/61)5.2 Water (7/61)5.3 Gaseous Phenomena (4/61)
1.4 A Brief History of Computer Animation (60/61)
1.5 Chapter Summary (59/61)References (59/61)Chapter 2 Technical Background (58/61)2.1 Spaces and Transformations (58/61)2.2 Orientation Representation (54/61)2.3 Chapter Summary 61 References (52/61)Chapter 3 Interpolation and Basic Techniques (52/61)3.1 Interpolation (52/61)3.2 Controlling the Motion Along a Curve (51/61)3.3 Interpolation of Rotations Represented by Quaternions (45/61)3.4 Path Following (44/61)3.5 Key-Frame Systems (41/61)3.6 Animation Languages (40/61)3.7 Deforming Objects (40/61)3.8 Morphing(2D) (36/61)3.9 3D Shape Interpolation (34/61)3.10 Chapter Summary (31/61)References (30/61)Chapter 4 Advanced Algorithms (30/61)4.1 Automatic Camera Control (30/61)4.2 Hierarchical Kinematic Modeling (29/61)4.3 Rigid Body Simulation (24/61)4.4 Enforcing Soft and Hard Constraints (18/61)4.5 Controlling Groups of Objects (16/61)4.6 Implicit Surfaces (12/61)4.7 Chapter Summary (11/61)References (11/61)Chapter 5 Natural Phenomena (10/61)5.1 Plants (10/61)5.2 Water (8/61)5.3 Gaseous Phenomena (5/61)
1.4 A Brief History of Computer Animation (61/61)
1.5 Chapter Summary (60/61)References (60/61)Chapter 2 Technical Background (59/61)2.1 Spaces and Transformations (59/61)2.2 Orientation Representation (55/61)2.3 Chapter Summary 61 References (53/61)Chapter 3 Interpolation and Basic Techniques (53/61)3.1 Interpolation (53/61)3.2 Controlling the Motion Along a Curve (52/61)3.3 Interpolation of Rotations Represented by Quaternions (46/61)3.4 Path Following (45/61)3.5 Key-Frame Systems (42/61)3.6 Animation Languages (41/61)3.7 Deforming Objects (41/61)3.8 Morphing(2D) (37/61)3.9 3D Shape Interpolation (35/61)3.10 Chapter Summary (32/61)References (31/61)Chapter 4 Advanced Algorithms (31/61)4.1 Automatic Camera Control (31/61)4.2 Hierarchical Kinematic Modeling (30/61)4.3 Rigid Body Simulation (25/61)4.4 Enforcing Soft and Hard Constraints (19/61)4.5 Controlling Groups of Objects (17/61)4.6 Implicit Surfaces (13/61)4.7 Chapter Summary (12/61)References (12/61)Chapter 5 Natural Phenomena (11/61)5.1 Plants (11/61)5.2 Water (9/61)5.3 Gaseous Phenomena (6/61)
1.5 Chapter Summary (61/61)
References (61/61)Chapter 2 Technical Background (60/61)2.1 Spaces and Transformations (60/61)2.2 Orientation Representation (56/61)2.3 Chapter Summary 61 References (54/61)Chapter 3 Interpolation and Basic Techniques (54/61)3.1 Interpolation (54/61)3.2 Controlling the Motion Along a Curve (53/61)3.3 Interpolation of Rotations Represented by Quaternions (47/61)3.4 Path Following (46/61)3.5 Key-Frame Systems (43/61)3.6 Animation Languages (42/61)3.7 Deforming Objects (42/61)3.8 Morphing(2D) (38/61)3.9 3D Shape Interpolation (36/61)3.10 Chapter Summary (33/61)References (32/61)Chapter 4 Advanced Algorithms (32/61)4.1 Automatic Camera Control (32/61)4.2 Hierarchical Kinematic Modeling (31/61)4.3 Rigid Body Simulation (26/61)4.4 Enforcing Soft and Hard Constraints (20/61)4.5 Controlling Groups of Objects (18/61)4.6 Implicit Surfaces (14/61)4.7 Chapter Summary (13/61)References (13/61)Chapter 5 Natural Phenomena (12/61)5.1 Plants (12/61)5.2 Water (10/61)5.3 Gaseous Phenomena (7/61)
Chapter 2 Technical Background (61/61)
2.1 Spaces and Transformations (61/61)2.2 Orientation Representation (57/61)2.3 Chapter Summary 61 References (55/61)Chapter 3 Interpolation and Basic Techniques (55/61)3.1 Interpolation (55/61)3.2 Controlling the Motion Along a Curve (54/61)3.3 Interpolation of Rotations Represented by Quaternions (48/61)3.4 Path Following (47/61)3.5 Key-Frame Systems (44/61)3.6 Animation Languages (43/61)3.7 Deforming Objects (43/61)3.8 Morphing(2D) (39/61)3.9 3D Shape Interpolation (37/61)3.10 Chapter Summary (34/61)References (33/61)Chapter 4 Advanced Algorithms (33/61)4.1 Automatic Camera Control (33/61)4.2 Hierarchical Kinematic Modeling (32/61)4.3 Rigid Body Simulation (27/61)4.4 Enforcing Soft and Hard Constraints (21/61)4.5 Controlling Groups of Objects (19/61)4.6 Implicit Surfaces (15/61)4.7 Chapter Summary (14/61)References (14/61)Chapter 5 Natural Phenomena (13/61)5.1 Plants (13/61)5.2 Water (11/61)5.3 Gaseous Phenomena (8/61)
2.2 Orientation Representation (58/61)
2.3 Chapter Summary 61 References (56/61)Chapter 3 Interpolation and Basic Techniques (56/61)3.1 Interpolation (56/61)3.2 Controlling the Motion Along a Curve (55/61)3.3 Interpolation of Rotations Represented by Quaternions (49/61)3.4 Path Following (48/61)3.5 Key-Frame Systems (45/61)3.6 Animation Languages (44/61)3.7 Deforming Objects (44/61)3.8 Morphing(2D) (40/61)3.9 3D Shape Interpolation (38/61)3.10 Chapter Summary (35/61)References (34/61)Chapter 4 Advanced Algorithms (34/61)4.1 Automatic Camera Control (34/61)4.2 Hierarchical Kinematic Modeling (33/61)4.3 Rigid Body Simulation (28/61)4.4 Enforcing Soft and Hard Constraints (22/61)4.5 Controlling Groups of Objects (20/61)4.6 Implicit Surfaces (16/61)4.7 Chapter Summary (15/61)References (15/61)Chapter 5 Natural Phenomena (14/61)5.1 Plants (14/61)5.2 Water (12/61)5.3 Gaseous Phenomena (9/61)
2.2 Orientation Representation (59/61)
2.3 Chapter Summary 61 References (57/61)Chapter 3 Interpolation and Basic Techniques (57/61)3.1 Interpolation (57/61)3.2 Controlling the Motion Along a Curve (56/61)3.3 Interpolation of Rotations Represented by Quaternions (50/61)3.4 Path Following (49/61)3.5 Key-Frame Systems (46/61)3.6 Animation Languages (45/61)3.7 Deforming Objects (45/61)3.8 Morphing(2D) (41/61)3.9 3D Shape Interpolation (39/61)3.10 Chapter Summary (36/61)References (35/61)Chapter 4 Advanced Algorithms (35/61)4.1 Automatic Camera Control (35/61)4.2 Hierarchical Kinematic Modeling (34/61)4.3 Rigid Body Simulation (29/61)4.4 Enforcing Soft and Hard Constraints (23/61)4.5 Controlling Groups of Objects (21/61)4.6 Implicit Surfaces (17/61)4.7 Chapter Summary (16/61)References (16/61)Chapter 5 Natural Phenomena (15/61)5.1 Plants (15/61)5.2 Water (13/61)5.3 Gaseous Phenomena (10/61)
2.2 Orientation Representation (60/61)
2.3 Chapter Summary 61 References (58/61)Chapter 3 Interpolation and Basic Techniques (58/61)3.1 Interpolation (58/61)3.2 Controlling the Motion Along a Curve (57/61)3.3 Interpolation of Rotations Represented by Quaternions (51/61)3.4 Path Following (50/61)3.5 Key-Frame Systems (47/61)3.6 Animation Languages (46/61)3.7 Deforming Objects (46/61)3.8 Morphing(2D) (42/61)3.9 3D Shape Interpolation (40/61)3.10 Chapter Summary (37/61)References (36/61)Chapter 4 Advanced Algorithms (36/61)4.1 Automatic Camera Control (36/61)4.2 Hierarchical Kinematic Modeling (35/61)4.3 Rigid Body Simulation (30/61)4.4 Enforcing Soft and Hard Constraints (24/61)4.5 Controlling Groups of Objects (22/61)4.6 Implicit Surfaces (18/61)4.7 Chapter Summary (17/61)References (17/61)Chapter 5 Natural Phenomena (16/61)5.1 Plants (16/61)5.2 Water (14/61)5.3 Gaseous Phenomena (11/61)
2.2 Orientation Representation (61/61)
2.3 Chapter Summary 61 References (59/61)Chapter 3 Interpolation and Basic Techniques (59/61)3.1 Interpolation (59/61)3.2 Controlling the Motion Along a Curve (58/61)3.3 Interpolation of Rotations Represented by Quaternions (52/61)3.4 Path Following (51/61)3.5 Key-Frame Systems (48/61)3.6 Animation Languages (47/61)3.7 Deforming Objects (47/61)3.8 Morphing(2D) (43/61)3.9 3D Shape Interpolation (41/61)3.10 Chapter Summary (38/61)References (37/61)Chapter 4 Advanced Algorithms (37/61)4.1 Automatic Camera Control (37/61)4.2 Hierarchical Kinematic Modeling (36/61)4.3 Rigid Body Simulation (31/61)4.4 Enforcing Soft and Hard Constraints (25/61)4.5 Controlling Groups of Objects (23/61)4.6 Implicit Surfaces (19/61)4.7 Chapter Summary (18/61)References (18/61)Chapter 5 Natural Phenomena (17/61)5.1 Plants (17/61)5.2 Water (15/61)5.3 Gaseous Phenomena (12/61)
2.3 Chapter Summary 61 References (60/61)
Chapter 3 Interpolation and Basic Techniques (60/61)3.1 Interpolation (60/61)3.2 Controlling the Motion Along a Curve (59/61)3.3 Interpolation of Rotations Represented by Quaternions (53/61)3.4 Path Following (52/61)3.5 Key-Frame Systems (49/61)3.6 Animation Languages (48/61)3.7 Deforming Objects (48/61)3.8 Morphing(2D) (44/61)3.9 3D Shape Interpolation (42/61)3.10 Chapter Summary (39/61)References (38/61)Chapter 4 Advanced Algorithms (38/61)4.1 Automatic Camera Control (38/61)4.2 Hierarchical Kinematic Modeling (37/61)4.3 Rigid Body Simulation (32/61)4.4 Enforcing Soft and Hard Constraints (26/61)4.5 Controlling Groups of Objects (24/61)4.6 Implicit Surfaces (20/61)4.7 Chapter Summary (19/61)References (19/61)Chapter 5 Natural Phenomena (18/61)5.1 Plants (18/61)5.2 Water (16/61)5.3 Gaseous Phenomena (13/61)
2.3 Chapter Summary 61 References (61/61)
Chapter 3 Interpolation and Basic Techniques (61/61)3.1 Interpolation (61/61)3.2 Controlling the Motion Along a Curve (60/61)3.3 Interpolation of Rotations Represented by Quaternions (54/61)3.4 Path Following (53/61)3.5 Key-Frame Systems (50/61)3.6 Animation Languages (49/61)3.7 Deforming Objects (49/61)3.8 Morphing(2D) (45/61)3.9 3D Shape Interpolation (43/61)3.10 Chapter Summary (40/61)References (39/61)Chapter 4 Advanced Algorithms (39/61)4.1 Automatic Camera Control (39/61)4.2 Hierarchical Kinematic Modeling (38/61)4.3 Rigid Body Simulation (33/61)4.4 Enforcing Soft and Hard Constraints (27/61)4.5 Controlling Groups of Objects (25/61)4.6 Implicit Surfaces (21/61)4.7 Chapter Summary (20/61)References (20/61)Chapter 5 Natural Phenomena (19/61)5.1 Plants (19/61)5.2 Water (17/61)5.3 Gaseous Phenomena (14/61)
3.2 Controlling the Motion Along a Curve (61/61)
3.3 Interpolation of Rotations Represented by Quaternions (55/61)3.4 Path Following (54/61)3.5 Key-Frame Systems (51/61)3.6 Animation Languages (50/61)3.7 Deforming Objects (50/61)3.8 Morphing(2D) (46/61)3.9 3D Shape Interpolation (44/61)3.10 Chapter Summary (41/61)References (40/61)Chapter 4 Advanced Algorithms (40/61)4.1 Automatic Camera Control (40/61)4.2 Hierarchical Kinematic Modeling (39/61)4.3 Rigid Body Simulation (34/61)4.4 Enforcing Soft and Hard Constraints (28/61)4.5 Controlling Groups of Objects (26/61)4.6 Implicit Surfaces (22/61)4.7 Chapter Summary (21/61)References (21/61)Chapter 5 Natural Phenomena (20/61)5.1 Plants (20/61)5.2 Water (18/61)5.3 Gaseous Phenomena (15/61)
3.3 Interpolation of Rotations Represented by Quaternions (56/61)
3.4 Path Following (55/61)3.5 Key-Frame Systems (52/61)3.6 Animation Languages (51/61)3.7 Deforming Objects (51/61)3.8 Morphing(2D) (47/61)3.9 3D Shape Interpolation (45/61)3.10 Chapter Summary (42/61)References (41/61)Chapter 4 Advanced Algorithms (41/61)4.1 Automatic Camera Control (41/61)4.2 Hierarchical Kinematic Modeling (40/61)4.3 Rigid Body Simulation (35/61)4.4 Enforcing Soft and Hard Constraints (29/61)4.5 Controlling Groups of Objects (27/61)4.6 Implicit Surfaces (23/61)4.7 Chapter Summary (22/61)References (22/61)Chapter 5 Natural Phenomena (21/61)5.1 Plants (21/61)5.2 Water (19/61)5.3 Gaseous Phenomena (16/61)
3.3 Interpolation of Rotations Represented by Quaternions (57/61)
3.4 Path Following (56/61)3.5 Key-Frame Systems (53/61)3.6 Animation Languages (52/61)3.7 Deforming Objects (52/61)3.8 Morphing(2D) (48/61)3.9 3D Shape Interpolation (46/61)3.10 Chapter Summary (43/61)References (42/61)Chapter 4 Advanced Algorithms (42/61)4.1 Automatic Camera Control (42/61)4.2 Hierarchical Kinematic Modeling (41/61)4.3 Rigid Body Simulation (36/61)4.4 Enforcing Soft and Hard Constraints (30/61)4.5 Controlling Groups of Objects (28/61)4.6 Implicit Surfaces (24/61)4.7 Chapter Summary (23/61)References (23/61)Chapter 5 Natural Phenomena (22/61)5.1 Plants (22/61)5.2 Water (20/61)5.3 Gaseous Phenomena (17/61)
3.3 Interpolation of Rotations Represented by Quaternions (58/61)
3.4 Path Following (57/61)3.5 Key-Frame Systems (54/61)3.6 Animation Languages (53/61)3.7 Deforming Objects (53/61)3.8 Morphing(2D) (49/61)3.9 3D Shape Interpolation (47/61)3.10 Chapter Summary (44/61)References (43/61)Chapter 4 Advanced Algorithms (43/61)4.1 Automatic Camera Control (43/61)4.2 Hierarchical Kinematic Modeling (42/61)4.3 Rigid Body Simulation (37/61)4.4 Enforcing Soft and Hard Constraints (31/61)4.5 Controlling Groups of Objects (29/61)4.6 Implicit Surfaces (25/61)4.7 Chapter Summary (24/61)References (24/61)Chapter 5 Natural Phenomena (23/61)5.1 Plants (23/61)5.2 Water (21/61)5.3 Gaseous Phenomena (18/61)
3.3 Interpolation of Rotations Represented by Quaternions (59/61)
3.4 Path Following (58/61)3.5 Key-Frame Systems (55/61)3.6 Animation Languages (54/61)3.7 Deforming Objects (54/61)3.8 Morphing(2D) (50/61)3.9 3D Shape Interpolation (48/61)3.10 Chapter Summary (45/61)References (44/61)Chapter 4 Advanced Algorithms (44/61)4.1 Automatic Camera Control (44/61)4.2 Hierarchical Kinematic Modeling (43/61)4.3 Rigid Body Simulation (38/61)4.4 Enforcing Soft and Hard Constraints (32/61)4.5 Controlling Groups of Objects (30/61)4.6 Implicit Surfaces (26/61)4.7 Chapter Summary (25/61)References (25/61)Chapter 5 Natural Phenomena (24/61)5.1 Plants (24/61)5.2 Water (22/61)5.3 Gaseous Phenomena (19/61)
3.3 Interpolation of Rotations Represented by Quaternions (60/61)
3.4 Path Following (59/61)3.5 Key-Frame Systems (56/61)3.6 Animation Languages (55/61)3.7 Deforming Objects (55/61)3.8 Morphing(2D) (51/61)3.9 3D Shape Interpolation (49/61)3.10 Chapter Summary (46/61)References (45/61)Chapter 4 Advanced Algorithms (45/61)4.1 Automatic Camera Control (45/61)4.2 Hierarchical Kinematic Modeling (44/61)4.3 Rigid Body Simulation (39/61)4.4 Enforcing Soft and Hard Constraints (33/61)4.5 Controlling Groups of Objects (31/61)4.6 Implicit Surfaces (27/61)4.7 Chapter Summary (26/61)References (26/61)Chapter 5 Natural Phenomena (25/61)5.1 Plants (25/61)5.2 Water (23/61)5.3 Gaseous Phenomena (20/61)5.4 Chapter SummaryReferences
3.3 Interpolation of Rotations Represented by Quaternions (61/61)
3.4 Path Following (60/61)3.5 Key-Frame Systems (57/61)3.6 Animation Languages (56/61)3.7 Deforming Objects (56/61)3.8 Morphing(2D) (52/61)3.9 3D Shape Interpolation (50/61)3.10 Chapter Summary (47/61)References (46/61)Chapter 4 Advanced Algorithms (46/61)4.1 Automatic Camera Control (46/61)4.2 Hierarchical Kinematic Modeling (45/61)4.3 Rigid Body Simulation (40/61)4.4 Enforcing Soft and Hard Constraints (34/61)4.5 Controlling Groups of Objects (32/61)4.6 Implicit Surfaces (28/61)4.7 Chapter Summary (27/61)References (27/61)Chapter 5 Natural Phenomena (26/61)5.1 Plants (26/61)5.2 Water (24/61)5.3 Gaseous Phenomena (21/61)Chapter 6 Modeling and Animating Articulated Figures
3.4 Path Following (61/61)
3.5 Key-Frame Systems (58/61)3.6 Animation Languages (57/61)3.7 Deforming Objects (57/61)3.8 Morphing(2D) (53/61)3.9 3D Shape Interpolation (51/61)3.10 Chapter Summary (48/61)References (47/61)Chapter 4 Advanced Algorithms (47/61)4.1 Automatic Camera Control (47/61)4.2 Hierarchical Kinematic Modeling (46/61)4.3 Rigid Body Simulation (41/61)4.4 Enforcing Soft and Hard Constraints (35/61)4.5 Controlling Groups of Objects (33/61)4.6 Implicit Surfaces (29/61)4.7 Chapter Summary (28/61)References (28/61)Chapter 5 Natural Phenomena (27/61)5.1 Plants (27/61)5.2 Water (25/61)5.3 Gaseous Phenomena (22/61)6.1 Reaching and Grasping (1/2)
3.5 Key-Frame Systems (59/61)
3.6 Animation Languages (58/61)3.7 Deforming Objects (58/61)3.8 Morphing(2D) (54/61)3.9 3D Shape Interpolation (52/61)3.10 Chapter Summary (49/61)References (48/61)Chapter 4 Advanced Algorithms (48/61)4.1 Automatic Camera Control (48/61)4.2 Hierarchical Kinematic Modeling (47/61)4.3 Rigid Body Simulation (42/61)4.4 Enforcing Soft and Hard Constraints (36/61)4.5 Controlling Groups of Objects (34/61)4.6 Implicit Surfaces (30/61)4.7 Chapter Summary (29/61)References (29/61)Chapter 5 Natural Phenomena (28/61)5.1 Plants (28/61)5.2 Water (26/61)5.3 Gaseous Phenomena (23/61)6.1 Reaching and Grasping (2/2)
3.5 Key-Frame Systems (60/61)
3.6 Animation Languages (59/61)3.7 Deforming Objects (59/61)3.8 Morphing(2D) (55/61)3.9 3D Shape Interpolation (53/61)3.10 Chapter Summary (50/61)References (49/61)Chapter 4 Advanced Algorithms (49/61)4.1 Automatic Camera Control (49/61)4.2 Hierarchical Kinematic Modeling (48/61)4.3 Rigid Body Simulation (43/61)4.4 Enforcing Soft and Hard Constraints (37/61)4.5 Controlling Groups of Objects (35/61)4.6 Implicit Surfaces (31/61)4.7 Chapter Summary (30/61)References (30/61)Chapter 5 Natural Phenomena (29/61)5.1 Plants (29/61)5.2 Water (27/61)5.3 Gaseous Phenomena (24/61)6.2 Walking (1/3)
3.5 Key-Frame Systems (61/61)
3.6 Animation Languages (60/61)3.7 Deforming Objects (60/61)3.8 Morphing(2D) (56/61)3.9 3D Shape Interpolation (54/61)3.10 Chapter Summary (51/61)References (50/61)Chapter 4 Advanced Algorithms (50/61)4.1 Automatic Camera Control (50/61)4.2 Hierarchical Kinematic Modeling (49/61)4.3 Rigid Body Simulation (44/61)4.4 Enforcing Soft and Hard Constraints (38/61)4.5 Controlling Groups of Objects (36/61)4.6 Implicit Surfaces (32/61)4.7 Chapter Summary (31/61)References (31/61)Chapter 5 Natural Phenomena (30/61)5.1 Plants (30/61)5.2 Water (28/61)5.3 Gaseous Phenomena (25/61)6.2 Walking (2/3)
3.6 Animation Languages (61/61)
3.7 Deforming Objects (61/61)3.8 Morphing(2D) (57/61)3.9 3D Shape Interpolation (55/61)3.10 Chapter Summary (52/61)References (51/61)Chapter 4 Advanced Algorithms (51/61)4.1 Automatic Camera Control (51/61)4.2 Hierarchical Kinematic Modeling (50/61)4.3 Rigid Body Simulation (45/61)4.4 Enforcing Soft and Hard Constraints (39/61)4.5 Controlling Groups of Objects (37/61)4.6 Implicit Surfaces (33/61)4.7 Chapter Summary (32/61)References (32/61)Chapter 5 Natural Phenomena (31/61)5.1 Plants (31/61)5.2 Water (29/61)5.3 Gaseous Phenomena (26/61)6.2 Walking (3/3)
3.8 Morphing(2D) (58/61)
3.9 3D Shape Interpolation (56/61)3.10 Chapter Summary (53/61)References (52/61)Chapter 4 Advanced Algorithms (52/61)4.1 Automatic Camera Control (52/61)4.2 Hierarchical Kinematic Modeling (51/61)4.3 Rigid Body Simulation (46/61)4.4 Enforcing Soft and Hard Constraints (40/61)4.5 Controlling Groups of Objects (38/61)4.6 Implicit Surfaces (34/61)4.7 Chapter Summary (33/61)References (33/61)Chapter 5 Natural Phenomena (32/61)5.1 Plants (32/61)5.2 Water (30/61)5.3 Gaseous Phenomena (27/61)6.3 Facial Animation (1/3)
3.8 Morphing(2D) (59/61)
3.9 3D Shape Interpolation (57/61)3.10 Chapter Summary (54/61)References (53/61)Chapter 4 Advanced Algorithms (53/61)4.1 Automatic Camera Control (53/61)4.2 Hierarchical Kinematic Modeling (52/61)4.3 Rigid Body Simulation (47/61)4.4 Enforcing Soft and Hard Constraints (41/61)4.5 Controlling Groups of Objects (39/61)4.6 Implicit Surfaces (35/61)4.7 Chapter Summary (34/61)References (34/61)Chapter 5 Natural Phenomena (33/61)5.1 Plants (33/61)5.2 Water (31/61)5.3 Gaseous Phenomena (28/61)6.3 Facial Animation (2/3)
3.8 Morphing(2D) (60/61)
3.9 3D Shape Interpolation (58/61)3.10 Chapter Summary (55/61)References (54/61)Chapter 4 Advanced Algorithms (54/61)4.1 Automatic Camera Control (54/61)4.2 Hierarchical Kinematic Modeling (53/61)4.3 Rigid Body Simulation (48/61)4.4 Enforcing Soft and Hard Constraints (42/61)4.5 Controlling Groups of Objects (40/61)4.6 Implicit Surfaces (36/61)4.7 Chapter Summary (35/61)References (35/61)Chapter 5 Natural Phenomena (34/61)5.1 Plants (34/61)5.2 Water (32/61)5.3 Gaseous Phenomena (29/61)6.3 Facial Animation (3/3)
3.8 Morphing(2D) (61/61)
3.9 3D Shape Interpolation (59/61)3.10 Chapter Summary (56/61)References (55/61)Chapter 4 Advanced Algorithms (55/61)4.1 Automatic Camera Control (55/61)4.2 Hierarchical Kinematic Modeling (54/61)4.3 Rigid Body Simulation (49/61)4.4 Enforcing Soft and Hard Constraints (43/61)4.5 Controlling Groups of Objects (41/61)4.6 Implicit Surfaces (37/61)4.7 Chapter Summary (36/61)References (36/61)Chapter 5 Natural Phenomena (35/61)5.1 Plants (35/61)5.2 Water (33/61)5.3 Gaseous Phenomena (30/61)6.4 Overview of Virtual Human Representation
3.9 3D Shape Interpolation (60/61)
3.10 Chapter Summary (57/61)References (56/61)Chapter 4 Advanced Algorithms (56/61)4.1 Automatic Camera Control (56/61)4.2 Hierarchical Kinematic Modeling (55/61)4.3 Rigid Body Simulation (50/61)4.4 Enforcing Soft and Hard Constraints (44/61)4.5 Controlling Groups of Objects (42/61)4.6 Implicit Surfaces (38/61)4.7 Chapter Summary (37/61)References (37/61)Chapter 5 Natural Phenomena (36/61)5.1 Plants (36/61)5.2 Water (34/61)5.3 Gaseous Phenomena (31/61)6.5 Layered Approach to Human Figure Modeling
3.9 3D Shape Interpolation (61/61)
3.10 Chapter Summary (58/61)References (57/61)Chapter 4 Advanced Algorithms (57/61)4.1 Automatic Camera Control (57/61)4.2 Hierarchical Kinematic Modeling (56/61)4.3 Rigid Body Simulation (51/61)4.4 Enforcing Soft and Hard Constraints (45/61)4.5 Controlling Groups of Objects (43/61)4.6 Implicit Surfaces (39/61)4.7 Chapter Summary (38/61)References (38/61)Chapter 5 Natural Phenomena (37/61)5.1 Plants (37/61)5.2 Water (35/61)5.3 Gaseous Phenomena (32/61)6.6 Cloth and Clothing (1/2)
3.10 Chapter Summary (59/61)
References (58/61)Chapter 4 Advanced Algorithms (58/61)4.1 Automatic Camera Control (58/61)4.2 Hierarchical Kinematic Modeling (57/61)4.3 Rigid Body Simulation (52/61)4.4 Enforcing Soft and Hard Constraints (46/61)4.5 Controlling Groups of Objects (44/61)4.6 Implicit Surfaces (40/61)4.7 Chapter Summary (39/61)References (39/61)Chapter 5 Natural Phenomena (38/61)5.1 Plants (38/61)5.2 Water (36/61)5.3 Gaseous Phenomena (33/61)6.6 Cloth and Clothing (2/2)
3.10 Chapter Summary (60/61)
References (59/61)Chapter 4 Advanced Algorithms (59/61)4.1 Automatic Camera Control (59/61)4.2 Hierarchical Kinematic Modeling (58/61)4.3 Rigid Body Simulation (53/61)4.4 Enforcing Soft and Hard Constraints (47/61)4.5 Controlling Groups of Objects (45/61)4.6 Implicit Surfaces (41/61)4.7 Chapter Summary (40/61)References (40/61)Chapter 5 Natural Phenomena (39/61)5.1 Plants (39/61)5.2 Water (37/61)5.3 Gaseous Phenomena (34/61)6.7 Motion Capture (1/2)
3.10 Chapter Summary (61/61)
References (60/61)Chapter 4 Advanced Algorithms (60/61)4.1 Automatic Camera Control (60/61)4.2 Hierarchical Kinematic Modeling (59/61)4.3 Rigid Body Simulation (54/61)4.4 Enforcing Soft and Hard Constraints (48/61)4.5 Controlling Groups of Objects (46/61)4.6 Implicit Surfaces (42/61)4.7 Chapter Summary (41/61)References (41/61)Chapter 5 Natural Phenomena (40/61)5.1 Plants (40/61)5.2 Water (38/61)5.3 Gaseous Phenomena (35/61)6.7 Motion Capture (2/2)
References (61/61)
Chapter 4 Advanced Algorithms (61/61)4.1 Automatic Camera Control (61/61)4.2 Hierarchical Kinematic Modeling (60/61)4.3 Rigid Body Simulation (55/61)4.4 Enforcing Soft and Hard Constraints (49/61)4.5 Controlling Groups of Objects (47/61)4.6 Implicit Surfaces (43/61)4.7 Chapter Summary (42/61)References (42/61)Chapter 5 Natural Phenomena (41/61)5.1 Plants (41/61)5.2 Water (39/61)5.3 Gaseous Phenomena (36/61)6.8 Chapter SummaryReferences
4.2 Hierarchical Kinematic Modeling (61/61)
4.3 Rigid Body Simulation (56/61)4.4 Enforcing Soft and Hard Constraints (50/61)4.5 Controlling Groups of Objects (48/61)4.6 Implicit Surfaces (44/61)4.7 Chapter Summary (43/61)References (43/61)Chapter 5 Natural Phenomena (42/61)5.1 Plants (42/61)5.2 Water (40/61)5.3 Gaseous Phenomena (37/61)
4.3 Rigid Body Simulation (57/61)
4.4 Enforcing Soft and Hard Constraints (51/61)4.5 Controlling Groups of Objects (49/61)4.6 Implicit Surfaces (45/61)4.7 Chapter Summary (44/61)References (44/61)Chapter 5 Natural Phenomena (43/61)5.1 Plants (43/61)5.2 Water (41/61)5.3 Gaseous Phenomena (38/61)Appendix A Rendering IssuesA.1 Double Buffering
4.3 Rigid Body Simulation (58/61)
4.4 Enforcing Soft and Hard Constraints (52/61)4.5 Controlling Groups of Objects (50/61)4.6 Implicit Surfaces (46/61)4.7 Chapter Summary (45/61)References (45/61)Chapter 5 Natural Phenomena (44/61)5.1 Plants (44/61)5.2 Water (42/61)5.3 Gaseous Phenomena (39/61)A.2 Compositing (1/3)
4.3 Rigid Body Simulation (59/61)
4.4 Enforcing Soft and Hard Constraints (53/61)4.5 Controlling Groups of Objects (51/61)4.6 Implicit Surfaces (47/61)4.7 Chapter Summary (46/61)References (46/61)Chapter 5 Natural Phenomena (45/61)5.1 Plants (45/61)5.2 Water (43/61)5.3 Gaseous Phenomena (40/61)A.2 Compositing (2/3)
4.3 Rigid Body Simulation (60/61)
4.4 Enforcing Soft and Hard Constraints (54/61)4.5 Controlling Groups of Objects (52/61)4.6 Implicit Surfaces (48/61)4.7 Chapter Summary (47/61)References (47/61)Chapter 5 Natural Phenomena (46/61)5.1 Plants (46/61)5.2 Water (44/61)5.3 Gaseous Phenomena (41/61)A.2 Compositing (3/3)
4.3 Rigid Body Simulation (61/61)
4.4 Enforcing Soft and Hard Constraints (55/61)4.5 Controlling Groups of Objects (53/61)4.6 Implicit Surfaces (49/61)4.7 Chapter Summary (48/61)References (48/61)Chapter 5 Natural Phenomena (47/61)5.1 Plants (47/61)5.2 Water (45/61)5.3 Gaseous Phenomena (42/61)A.3 Displaying Moving Objects: Motion Blur
4.4 Enforcing Soft and Hard Constraints (56/61)
4.5 Controlling Groups of Objects (54/61)4.6 Implicit Surfaces (50/61)4.7 Chapter Summary (49/61)References (49/61)Chapter 5 Natural Phenomena (48/61)5.1 Plants (48/61)5.2 Water (46/61)5.3 Gaseous Phenomena (43/61)A.4 Drop Shadows
4.4 Enforcing Soft and Hard Constraints (57/61)
4.5 Controlling Groups of Objects (55/61)4.6 Implicit Surfaces (51/61)4.7 Chapter Summary (50/61)References (50/61)Chapter 5 Natural Phenomena (49/61)5.1 Plants (49/61)5.2 Water (47/61)5.3 Gaseous Phenomena (44/61)A.5 SummaryReferences
4.4 Enforcing Soft and Hard Constraints (58/61)
4.5 Controlling Groups of Objects (56/61)4.6 Implicit Surfaces (52/61)4.7 Chapter Summary (51/61)References (51/61)Chapter 5 Natural Phenomena (50/61)5.1 Plants (50/61)5.2 Water (48/61)5.3 Gaseous Phenomena (45/61)Appendix B Background Information and TechniquesB.1 Vectors and Matrices
4.4 Enforcing Soft and Hard Constraints (59/61)
4.5 Controlling Groups of Objects (57/61)4.6 Implicit Surfaces (53/61)4.7 Chapter Summary (52/61)References (52/61)Chapter 5 Natural Phenomena (51/61)5.1 Plants (51/61)5.2 Water (49/61)5.3 Gaseous Phenomena (46/61)
4.4 Enforcing Soft and Hard Constraints (60/61)
4.5 Controlling Groups of Objects (58/61)4.6 Implicit Surfaces (54/61)4.7 Chapter Summary (53/61)References (53/61)Chapter 5 Natural Phenomena (52/61)5.1 Plants (52/61)5.2 Water (50/61)5.3 Gaseous Phenomena (47/61)
4.4 Enforcing Soft and Hard Constraints (61/61)
4.5 Controlling Groups of Objects (59/61)4.6 Implicit Surfaces (55/61)4.7 Chapter Summary (54/61)References (54/61)Chapter 5 Natural Phenomena (53/61)5.1 Plants (53/61)5.2 Water (51/61)5.3 Gaseous Phenomena (48/61)B.2 Geometric Computations (1/6)
4.5 Controlling Groups of Objects (60/61)
4.6 Implicit Surfaces (56/61)4.7 Chapter Summary (55/61)References (55/61)Chapter 5 Natural Phenomena (54/61)5.1 Plants (54/61)5.2 Water (52/61)5.3 Gaseous Phenomena (49/61)B.2 Geometric Computations (2/6)
4.5 Controlling Groups of Objects (61/61)
4.6 Implicit Surfaces (57/61)4.7 Chapter Summary (56/61)References (56/61)Chapter 5 Natural Phenomena (55/61)5.1 Plants (55/61)5.2 Water (53/61)5.3 Gaseous Phenomena (50/61)B.2 Geometric Computations (3/6)
4.6 Implicit Surfaces (58/61)
4.7 Chapter Summary (57/61)References (57/61)Chapter 5 Natural Phenomena (56/61)5.1 Plants (56/61)5.2 Water (54/61)5.3 Gaseous Phenomena (51/61)B.2 Geometric Computations (4/6)
4.6 Implicit Surfaces (59/61)
4.7 Chapter Summary (58/61)References (58/61)Chapter 5 Natural Phenomena (57/61)5.1 Plants (57/61)5.2 Water (55/61)5.3 Gaseous Phenomena (52/61)B.2 Geometric Computations (5/6)
4.6 Implicit Surfaces (60/61)
4.7 Chapter Summary (59/61)References (59/61)Chapter 5 Natural Phenomena (58/61)5.1 Plants (58/61)5.2 Water (56/61)5.3 Gaseous Phenomena (53/61)B.2 Geometric Computations (6/6)
4.6 Implicit Surfaces (61/61)
4.7 Chapter Summary (60/61)References (60/61)Chapter 5 Natural Phenomena (59/61)5.1 Plants (59/61)5.2 Water (57/61)5.3 Gaseous Phenomena (54/61)B.3 Transformations (1/2)
4.7 Chapter Summary (61/61)
References (61/61)Chapter 5 Natural Phenomena (60/61)5.1 Plants (60/61)5.2 Water (58/61)5.3 Gaseous Phenomena (55/61)B.3 Transformations (2/2)
Chapter 5 Natural Phenomena (61/61)
5.1 Plants (61/61)5.2 Water (59/61)5.3 Gaseous Phenomena (56/61)B.4 Interpolating and Approximating Curves (1/4)
5.2 Water (60/61)
5.3 Gaseous Phenomena (57/61)B.4 Interpolating and Approximating Curves (2/4)
5.2 Water (61/61)
5.3 Gaseous Phenomena (58/61)B.4 Interpolating and Approximating Curves (3/4)
5.3 Gaseous Phenomena (59/61)
B.4 Interpolating and Approximating Curves (4/4)
5.3 Gaseous Phenomena (60/61)
B.5 Randomness (1/2)
5.3 Gaseous Phenomena (61/61)
B.5 Randomness (2/2)
B.6 Physics Primer (1/3)
B.6 Physics Primer (2/3)
B.6 Physics Primer (3/3)
B.7 Numerical Integration Techniques
B.8 Standards for Moving Pictures (1/2)
B.8 Standards for Moving Pictures (2/2)
B.9 Camera Calibration
References
Index (1/4)
Index (2/4)
Index (3/4)
Index (4/4)
About the Author

Content preview from Computer Animation

200

a v T F. R 4:

Advanced Algorithms

Joint 1

Joint 2

Motions induced

by joint

articulation

Joint 3

Goal ~N~ End Effector

desired motion

Figure 4.22 Simple example of a singular configuration

In this case, the Jacobian is not a square matrix and there are an infinite number of

solutions to the inverse kinematics problem. Because the Jacobian is not square, a

conventional inverse does not exist. Instead, the

pseudo inverse,

J+, can be used

(Equation

4.19). Equation 4.19

works because a matrix multiplied by its own

transpose will be a square matrix.

V- JO

jTV- jTjo

(jTj )-IjTv = (jTj )-IjTjo

/ + V = 0

(,=q. ...

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ISBN: 9780080502502

Cloud Computing

Data Engineering

Data Science

AI & ML

Programming Languages

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IT/Ops

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Soft Skills

Computer Animation

by Rick Parent

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