- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- Dedication
- Inside Front Cover
- Structure of this Book
- Errata
- Chapter 1: Introduction
- Chapter 2: Grids and Digitization
- Chapter 3: Metrics
- Chapter 4: Adjacency Graphs
- Chapter 5: Incidence Pseudographs
- Chapter 6: Topology
- Chapter 7: Curves and Surfaces: Topology
- Chapter 8: Curves and Surfaces: Geometry
- 8.1 Planar Curves and Arcs
- 8.2 Space Curves and Arcs
- 8.3 Surfaces and Solids
- 8.3.3 Example: an ellipsoid
- 8.3.4 Gauss ’ definition of surface curvature
- 8.3.5 Principal, Gaussian, and mean surface curvature
- 8.3.6 Volume
- 8.3.7 Isothetic polyhedra
- 8.4 Surface Tracing and Approximation
- 8.5 Exercises
- 8.6 Commented Bibliography
- Chapter 9: 2D Straightness
- Chapter 10: 2D Arc Length; Curvature and Corners
- Chapter 11: 3D Straightness and Planarity
- Chapter 12: 3D Arc Length, Surface Area, and Curvature
- Chapter 13: Hulls and Diagrams
- Chapter 14: Transformations
- Chapter 15: Morphologic Operations
- Chapter 16: Deformations
- Chapter 17: Picture Properties and Spatial Relations
- List of Algorithms
- List of Symbols
- List of Axioms and Properties
- Bibliography
- Index
-
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