Content: Digital Topology: Fundamentals Tessellation of a Continuous Space Digital Grid Grid Topology Topology Preserving Operations The Euler Characteristics Distance Functions in Digital Geometry Mathematical Definitions and Notation Neighborhoods, Paths and Distances Neighborhood Distances Path-Dependent Neighborhoods and Distances Hyperspheres of Digital Distances Error Estimation and Approximation of Euclidean Distance Digitization of Straight Lines and Planes 2-D Discrete Straight Line Segments Iterative Refinement: An Algebraic Characterization 3-D Digital Straight Line Segments Digital Plane Segments Digital Straightness and Polygonal Approximation Digital Straightness Approximate Straightness Polygonal Approximation Approximation on Gray-Scale Images Examples Parametric Curve Estimation and Reconstruction Digital Conics in Canonical Form Circles and Parabolas in Canonical Form Estimation of Major and Minor Axes of an Ellipse in Canonical Form Reconstruction of Hyperbola in Canonical Form A Restricted Class of Digitized Planar Curves Medial Axis Transform Distance Transform Medial Axis Transform (MAT) Skeletonization using MAT Geometric Transformation Computation of Normals at Boundary Points of 2-D Objects Computation of Cross-Sections of 3-D Objects Shading of 3D Objects Modeling of Voxelated Surface Voxelation and Approximation of 3-D Surface Voxelation of Surface of Revolution Bibliography Index A Summary appears at the end of each chapter.