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

Controlling Groups of Objects

245

(except to be hidden) or shadowing. In some applications, shadowing effects have

been determined to be an important visual cue. The density of particles between a

position in space and a light source can be used to estimate the amount of shadow-

ing. See Blinn [2], Ebert, Carlson, and Parent [8], and Reeves [23] for some of

these considerations. For more information, see Reeves and Blau on particle sys-

tems [24] and Sims on particle animation and rendering [28].

Particle System Representation

A particle is represented by a tuple

[x, v, f, m],

which ...

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ISBN: 9780080502502

Cloud Computing

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Computer Animation

by Rick Parent

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