Discrete Geometry for Computer Imagery

Table of Contents

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   Book Overview
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   Chapter 1 On recent trends in discrete geometry in computer science
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   Chapter 2 Least squares fitting of digital polynomial segments
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   Chapter 3 Geometrical parameters extraction from discrete paths
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   Chapter 4 A 3D-hole closing algorithm
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   Chapter 5 Multiresolution representation of shape in binary images
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   Chapter 6 Discrete elastica
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   Chapter 7 Fractal representation of planar shapes
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   Chapter 8 Volume synthesis
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    Chapter 9 Fast computation of the normal vector field of the surface of a 3-D discrete object
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    Chapter 10 Finite element meshes by means of voxels
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    Chapter 11 Polyhedra generation from lattice points
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    Chapter 12 Recognizing arithmetic straight lines and planes
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    Chapter 13 A topologically consistent representation for image analysis: The Frontiers Topological Graph
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    Chapter 14 Determining the components of the complement of a Digital (n−1)-manifold in ℤ n
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    Chapter 15 Determination of discrete sampling grids with optimal topological and spectral properties
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    Chapter 16 Inter-pixel Euclidean paths for image analysis
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    Chapter 17 Filling driven by contour marching
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    Chapter 18 Hypergraph model of digital topology for grey level images
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    Chapter 19 Application of skeletonization algorithms for myocardial spect quantification
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    Chapter 20 Supercover 3D Polygon
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    Chapter 21 Topologically defined isosurfaces
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    Chapter 22 Iso-surface extraction in 4D with applications related to scale space
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    Chapter 23 Complexity of discrete surfaces in the Dividing-cubes algorithm
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    Chapter 24 Circle digitization and cellular automata
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    Chapter 25 Reconstructing convex polyominoes from horizontal and vertical projections II
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    Chapter 26 The Quasi-Shear rotation
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    Chapter 27 Computational geometry and discrete computations
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    Chapter 28 Some topological properties of discrete surfaces
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    Chapter 29 A statistical process for surface tracking