Contemporary Mathematics 1991; 237 pp; softcover Volume: 119 ISBN10: 082185125X ISBN13: 9780821851258 List Price: US$110 Member Price: US$88 Order Code: CONM/119
 Since its genesis more than thirtyfive years ago, the field of computer vision has been known by various names, including pattern recognitions, image analysis, and image understanding. The central problem of computer vision is obtaining descriptive information by computer analysis of images of a scene. Together with the related fields of image processing and computer graphics, it has become an established discipline at the interface between computer science and electrical engineering. This volume contains fourteen papers presented at the AMS Special Session on Geometry Related to Computer Vision, held in Hoboken, New Jersey in October 1989. This book makes the results presented at the Special Session, which previously had been available only in the computer science literature, more widely available within the mathematical sciences community. Geometry plays a major role in computer vision, since scene descriptions always involve geometrical properties of, and relations among, the objects or surfaces in the scene. The papers in this book provide a good sampling of geometric problems connected with computer vision. They deal with digital lines and curves, polygons, shape decompositions, digital connectedness and surfaces, digital metrics, and generalizations to higherdimensional and graphstructured "spaces." Aimed at computer scientists specializing in image processing, computer vision, and pattern recognitionas well as mathematicians interested in applications to computer sciencethis book will provide readers with a view of how geometry is currently being applied to problems in computer vision. Table of Contents  A. M. Bruckstein  Selfsimilarity properties of digitized straight lines
 J. Czyzowicz, I. Rival, and J. Urrutia  Galleries and light matchings: Fat cooperative guards
 M. Díaz and J. O'Rourke  Chord centers for convex polygons
 L. Dorst and A. W. M. Smeulders  Discrete straight line segments: Parameters, primitives, and properties
 P. K. Ghosh  Vision, geometry, and Minkowski operators
 G. T. Herman  Discrete multidimensional Jordan surfaces
 R. A. Melter  A survey of digital metrics
 D. Mount and R. Silverman  Combinatorial and computational aspects of Minkowski decompositions
 A. Rosenfeld and T. Y. Kong  Connectedness of a set, its complement, and their common boundary
 A. Rosenfeld and A. Y. Wu  "Digital geometry" on graphs
 D. Shaked, J. Koplowitz, and A. M. Bruckstein  Starshapedness of digitized planar shapes
 R. Silverman and A. H. Stein  Algorithms for the decomposition of convex polygons
 A. W. M. Smeulders and L. Dorst  Decomposition of discrete curves into piecewise straight segments in linear time
 I. Stojmenović and R. Tošić  Digitization schemes and the recognition of digital straight lines, hyperplanes, and flats in arbitrary dimensions
 G. T. Toussaint  Computational geometry and computer vision
 D. Wood, G. J. E. Rawlins, and S. Schuierer  Convexity, visibility, and orthogonal polygons
