Topology of Digital Images

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Visual Pattern Discovery in Proximity Spaces, Intelligent Systems Reference Library 63

ISBN: 3642538444
ISBN 13: 9783642538445
Autor: Peters, James F
Verlag: Springer Verlag GmbH
Umfang: xvi, 411 S., 92 s/w Illustr., 158 farbige Illustr., 411 p. 250 illus., 158 illus. in color.
Erscheinungsdatum: 14.02.2014
Auflage: 1/2014
Produktform: Gebunden/Hardback
Einband: GEB

This book carries forward recent work on visual patterns and structuresin digital images and introduces a near set-based a topology of digitalimages. Visual patterns arise naturally in digital images viewed as setsof non-abstract points endowed with some form of proximity (nearness)relation. Proximity relations make it possible to construct uniform topolo-gies on the sets of points that constitute a digital image. In keeping withan interest in gaining an understanding of digital images themselves as arich source of patterns, this book introduces the basics of digital imagesfrom a computer vision perspective. In parallel with a computer visionperspective on digital images, this book also introduces the basics of prox-imity spaces. Not only the traditional view of spatial proximity relationsbut also the more recent descriptive proximity relations are considered.The beauty of the descriptive proximity approach is that it is possible todiscover visual set patterns among sets that are non-overlapping and non-adjacent spatially. By combining the spatial proximity and descriptiveproximity approaches, the search for salient visual patterns in digital im-ages is enriched, deepened and broadened. A generous provision of Matlaband Mathematica scripts are used in this book to lay bare the fabric andessential features of digital images for those who are interested in findingvisual patterns in images. The combination of computer vision techniquesand topological methods lead to a deep understanding of images.

Artikelnummer: 5967907 Kategorie:

Beschreibung

Autorenporträt

InhaltsangabePreface.- 1 Topology of Digital Images: Basic Ingredients.- 2 Structures Arising from Sets of Pixels.- 3 Visualisations and Covers.- 4 Linear Filtering and Visual Patterns in Images.- 5 Edges, Lines, Ridges, and Nearness Structures.- 6 Corners and Symmetric Proximity.- 7 Separation of Image Regions and Set Patterns.- 8 Descriptive Raster Spaces.- 9 Component Analysis and Uniform Spaces.- 10 Shapes and Shape Set Patterns.- 11 Texture and Texture Set Patterns.- 12 PatternBased Picture Classification. 13 Appendix: Matlab and Mathematica Scripts.- 14 Notes and Further Readings.

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