Free Delivery Over $100
|
|
|||
|
||||
OverviewConcerned with the mathematical theory of surfaces, objects and their boundaries in discrete spaces, this text provides a self-contained and mathematically precise introduction to the field. It is application-oriented and presents problems of visualization and analysis of multidimensional data sets. The primary areas of mathematics used are graph theory and topology. Full Product DetailsAuthor: Gabor T. HermanPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG ISBN: 9783764338978ISBN 10: 3764338970 Pages: 232 Publication Date: May 1998 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Replaced By: 9780817638979 Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsCloning files on sugar cubes - what is our game? a methodology for extracting object boundaries, files in flatland, components determined by binary relations, so, what does a flat fly do? back to the cuberille, algorithms for flat files, diagraphs, so, what can a fat fly do? algorithms for cloning flies, an efficient implementation, exercises; enhancing the cube - why study noncubic grids? other spaces, exercises; digital spaces - the basic definitions, interiors and exteriors, connectedness in digital spaces, isomorphisms between digital spaces, exercises; topological digital spaces - what is a topology? some topological digital spaces, many digital spaces are not topological, connectedness of topological interiors, exercises; binary pictures - digital pictures, fuzzy segmentation, boundaries in binary pictures, Jordan pairs of spel-adjacencies, new Jordan pairs from old ones; simply connected digital spaces - N-simply connected digital spaces, locally-Jordan surfaces, applications to finding Jordan pairs, 1-simply connected digital spaces, exercises; Jordan graphs - the theory of (strong) Jordan graphs, Jordan surfaces, spel-manifolds, exercises; boundary tracking - tracking in finitary 1-simply connected spaces, efficient tracking of boundary elements, boundary tracking on hypercubes, proofs of the boundary-tracking claims, boundary tracking in the FCC grid, pointers to further reading, exercises.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
