## Advances in Digital and Computational GeometryReinhard Klette, Azriel Rosenfeld, Fridrich Sloboda Computers are generally more appropriate for studying finitary objects, therefore current research on computer image analysis has led to the study of image geometry from finitary points of view, namely the digital and the computational. This handbook contains recent developments and provides a stimulating connection between the two fields, and includes an extensive bibliography. |

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### Contents

Digital Geometry | 1 |

Topological Projection of Planar Discrete Patterns | 55 |

Discrete Integral Geometry and Stochastic Images | 87 |

Copyright | |

8 other sections not shown

### Common terms and phrases

3-simplex Analysis and Machine approximation Arcelli binary images binary patterns boundary compact set component labeling computational geometry Computer Graphics Computer Vision Conf connected components convex polygons defined Definition denotes digital convex polygons digital geometry digital images digital representations digital straight line Digital topology digitally-straight line dimensional discrete object discrete pattern distance function distance transform edges Euclidean distance Euler characteristic finite Graphics and Image gray-level grid point holes IEEE Trans Image Processing Image Understanding incidence structures integer intersection Intl Jordan set Jordan surface lattice points length Machine Intelligence mapping mathematical medial axis method neighborhood obtain one-dimensional par(r)-regular Pattern Analysis Pattern Recognition Letters pixels planar plane polygonal Jordan curve problem Proc proof r-grid respectively Rosenfeld rotation Sanniti di Baja Section shortest path shortest path problem shortest polygonal Jordan skeleton space square subset symmetry three-dimensional unit cube vertices Voronoi diagram Voronoi tessellation