Digital Geometry. Geometric Methods for Digital Picture Analysis

✍ Scribed by Reinhard Klette and Azriel Rosenfeld (Auth.)

• Publisher: Elsevier
• Year: 2004
• Tongue: English
• Leaves: 659
• Series: Morgan Kaufmann series in computer graphics and geometric modeling
• Category: Library

✦ Synopsis

• "[This is] a serious work. The authors have made a huge effort to present the major problems of digital geometry...It will be a very useful resource for a diversity of readers from engineers to mathematicians and from undergraduate students to scientists at the highest level."— Dr. Jovisa Zunic, Cardiff University "This book would be a great asset for professionals in the field of picture analysis, and would be ideal as a textbook in graduate courses on that subject. One must note that the book uses a standard mathematical/technical language, instead of image processing jargon, and thus is very appropriate for those engineers and scientists in other specialties who need to learn about, and work with, computer pictures." - Computing Reviews
  

Content:
Preface, Pages v-x
Structure of this book, Pages xi-xiii
Errata, Page xix
Introduction, Pages 1-34
Chapter 2 - Grids and Digitization, Pages 35-75
Chapter 3 - Metrics, Pages 77-116
Chapter 4 - Adjacency Graphs, Pages 117-157
Chapter 5 - Incidence Pseudographs, Pages 159-191
Chapter 6 - Topology, Pages 193-230
Chapter 7 - Curves and Surfaces: Topology, Pages 231-268
Chapter 8 - Curves and Surfaces: Geometry, Pages 269-307
Chapter 9 - 2D Straightness, Pages 309-340
Chapter 10 - 2D Arc Length; Curvature and Corners, Pages 341-374
Chapter 11 - 3D Straightness and Planarity, Pages 375-408
Chapter 12 - 3D Arc Length, Surface Area, and Curvature, Pages 409-426
Chapter 13 - Hulls and Diagrams, Pages 427-454
Chapter 14 - Transformations, Pages 455-480
Chapter 15 - Morphologic Operations, Pages 481-497
Chapter 16 - Deformations, Pages 499-536
Chapter 17 - Picture Properties and Spatial Relations, Pages 537-559
List of Algorithms, Pages 561-564
List of Symbols, Pages 565-567
List of Axioms and Properties, Page 569
Bibliography, Pages 571-643
Index, Pages 645-656