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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 Abstraction Pyramids on Discrete Representations
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    Chapter 2 XPMaps and Topological Segmentation - A Unified Approach to Finite Topologies in the Plane
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    Chapter 3 Curves in ℤ n
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    Chapter 4 Separation Theorems for Simplicity 26-Surfaces
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    Chapter 5 Topological Quadrangulations of Closed Triangulated Surfaces Using the Reeb Graph
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    Chapter 6 Non-manifold Decomposition in Arbitrary Dimensions
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    Chapter 7 4D Minimal Non-simple Sets
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    Chapter 8 Receptive Fields within the Combinatorial Pyramid Framework
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    Chapter 9 A New 3D 6-Subiteration Thinning Algorithm Based on P -Simple Points
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    Chapter 10 Monotonic Tree
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    Chapter 11 Displaying Image Neighborhood Hypergraphs Line-Graphs
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    Chapter 12 The Reconstruction of a Bicolored Domino Tiling from Two Projections
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    Chapter 13 Digital Geometry for Image-Based Metrology
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    Chapter 14 Topological Reconstruction of Occluded Objects in Video Sequences
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    Chapter 15 On the Strong Property of Connected Open-Close and Close-Open Filters
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    Chapter 16 Advances in the Analysis of Topographic Features on Discrete Images
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    Chapter 17 Morphological Operations in Recursive Neighbourhoods
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    Chapter 18 Computing the Diameter of a Point Set
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    Chapter 19 Shape Representation Using Trihedral Mesh Projections
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    Chapter 20 Topological Map Based Algorithms for 3D Image Segmentation
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    Chapter 21 On Characterization of Discrete Triangles by Discrete Moments
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    Chapter 22 Weighted Distance Transforms for Images Using Elongated Voxel Grids
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    Chapter 23 Robust Normalization of Shapes
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    Chapter 24 Surface Area Estimation of Digitized 3D Objects Using Local Computations
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    Chapter 25 An Abstract Theoretical Foundation of the Geometry of Digital Spaces
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    Chapter 26 Concurrency of Line Segments in Uncertain Geometry
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    Chapter 27 Discretization in 2D and 3D Orders
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    Chapter 28 Defining Discrete Objects for Polygonalization: The Standard Model
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    Chapter 29 Visibility in Discrete Geometry: An Application to Discrete Geodesic Paths
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    Chapter 30 Multi-scale Discrete Surfaces
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    Chapter 31 Invertible Minkowski Sum of Polygons
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    Chapter 32 Thinning Grayscale Well-Composed Images: A New Approach for Topological Coherent Image Segmentation
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    Chapter 33 An Incremental Linear Time Algorithm for Digital Line and Plane Recognition Using a Linear Incremental Feasibility Problem
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    Chapter 34 Discrete Geometry for Computer Imagery
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    Chapter 35 Reconstruction of Binary Matrices from Absorbed Projections
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    Chapter 36 A Simplified Recognition Algorithm of Digital Planes Pieces
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    Chapter 37 Ridgelet Transform Based on Reveillès Discrete Lines
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    Chapter 38 A Discrete Radiosity Method
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Title
Discrete Geometry for Computer Imagery
Published by
Springer Science & Business Media, March 2002
DOI 10.1007/3-540-45986-3
ISBNs
978-3-54-043380-4, 978-3-54-045986-6
Editors

Braquelaire, Achille, Lachaud, Jacques-Olivier, Vialard, Anne

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