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Discrete Geometry for Computer Imagery

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Cover of 'Discrete Geometry for Computer Imagery'

Table of Contents

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    Book Overview
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    Chapter 1 Multiresolution Representation of Shapes Based on Cell Complexes
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    Chapter 2 Decomposing Digital 3D Shapes Using a Multiresolution Structure
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    Chapter 3 Optimal Time Computation of the Tangent of a Discrete Curve: Application to the Curvature
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    Chapter 4 The Discrete Moments of the Circles
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    Chapter 5 Graceful Planes and Thin Tunnel-Free Meshes
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    Chapter 6 Local Configurations of Digital Hyperplanes
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    Chapter 7 ( n, m )-Cubes and Farey Nets for Naive Planes Understanding
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    Chapter 8 A Digital Lighting Function for Strong 26-Surfaces
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    Chapter 9 Intersection Number of Paths Lying on a Digital Surface and a New Jordan Theorem
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    Chapter 10 A Topological Method of Surface Representation
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    Chapter 11 Discrete Geometry for Computer Imagery
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    Chapter 12 Reconstruction in Different Classes of 2D Discrete Sets
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    Chapter 13 Curve Reconstruction in Arbitrary Dimension and the Traveling Salesman Problem
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    Chapter 14 Shape-from-Silhouette/Stereo and Its Application to 3-D Digitizer
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    Chapter 15 Set Connections and Discrete Filtering
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    Chapter 16 Topological Operators on the Topological Graph of Frontiers
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    Chapter 17 New Notions for Discrete Topology
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    Chapter 18 A Model for Digital Topology
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    Chapter 19 Border Map: A Topological Representation for n D Image Analysis
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    Chapter 20 A Discrete Homotopic Deformable Model Dealing with Objects with Different Local Dimensions
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    Chapter 21 Unraveling the Thrill of Metric Image Spaces
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    Chapter 22 Measuring Resemblance of Complex Patterns
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    Chapter 23 Tree Representation for Image Matching and Object Recognition
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    Chapter 24 Ultra-Fast Skeleton Based on an Isotropic Fully Parallel Algorithm
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    Chapter 25 Directional 3D Thinning Using 8 Subiterations
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    Chapter 26 Order Independent Homotopic Thinning
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    Chapter 27 Computable Partial Solids and Voxels Sets
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    Chapter 28 Convex Hull of Grid Points below a Line or a Convex Curve
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    Chapter 29 Rounding Voronoi Diagram
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    Chapter 30 Digitization of Bézier Curves and Patches using Discrete Geometry
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    Chapter 31 Hausdorff Discretization and Its Comparison to Other Discretization Schemes
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    Chapter 32 The Discrete Tube: A Spatial Acceleration Technique for Efficient Diffraction Computation
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    Chapter 33 Polyhedrization of the Boundary of a Voxel Object
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    Chapter 34 Discrete Ray-Casting
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    Chapter 35 3D Discrete Normal Vectors
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Title
Discrete Geometry for Computer Imagery
Published by
Springer Science & Business Media, March 1999
DOI 10.1007/3-540-49126-0
ISBNs
978-3-54-065685-2, 978-3-54-049126-2
Editors

Bertrand, Gilles, Couprie, Michel, Perroton, Laurent

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