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