CHAPTER 1

Introduction

This book deals with the concepts, methods, and algorithms of digital geometry. This introductory chapter provides a few basic definitions and a brief introduction to the subject; it discusses how digital geometry relates to other mathematic disciplines and indicates which related topics will and will not be covered in the book.

1.1 Pictures

Scientists often deal with functions defined in a space (e.g., in three-dimensional [3D] Euclidean space or in a lower-dimensional space such as a plane or a surface). Such functions are often obtained by collecting sensory data; for example, two-dimensional (2D) scanners collect data from a 2D surface; 3D sensors collect data from a volume of 3D space; and optical sensors collect ...

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