Title
Topology of digital images [electronic resource] : visual pattern discovery in proximity spaces / James F. Peters.
ISBN
9783642538452 electronic book
3642538452 electronic book
9783642538445
Published
Heidelberg : Springer, 2014.
Language
English
Description
1 online resource (xvi, 411 pages) : illustrations (some color).
Other Standard Identifiers
10.1007/978-3-642-53845-2 doi
Call Number
TA1634
Dewey Decimal Classification
006.3
Summary
This book carries forward recent work on visual patterns and structures in digital images and introduces a near set-based a topology of digital images. Visual patterns arise naturally in digital images viewed as sets of 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 with an interest in gaining an understanding of digital images themselves as a rich source of patterns, this book introduces the basics of digital images from a computer vision perspective. In parallel with a computer vision perspective on digital images, this book also introduces the basics of prox- imity spaces. Not only the traditional view of spatial proximity relations but also the more recent descriptive proximity relations are considered. The beauty of the descriptive proximity approach is that it is possible to discover visual set patterns among sets that are non-overlapping and non- adjacent spatially. By combining the spatial proximity and descriptive< proximity approaches, the search for salient visual patterns in digital im- ages is enriched, deepened and broadened. A generous provision of Matlab and Mathematica scripts are used in this book to lay bare the fabric and essential features of digital images for those who are interested in finding visual patterns in images. The combination of computer vision techniques and topological methods lead to a deep understanding of images.
Bibliography, etc. Note
Includes bibliographical references and indexes.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from PDF title page (SpringerLink, viewed February 3, 2014).
Series
Intelligent systems reference library ; v.63. 1868-4394
Topology of Digital Images: Basic Ingredients
Structures Arising from Sets of Pixels
Visualisations and Covers
Linear Filtering and Visual Patterns in Images
Edges, Lines, Ridges, and Nearness Structures
Corners and Symmetric Proximity
Separation of Image Regions and Set Patterns
Descriptive Raster Spaces
Component Analysis and Uniform Spaces
Shapes and Shape Set Patterns
Texture and Texture Set Patterns
Pattern-Based Picture Classification
Appendix: Matlab and Mathematica Scripts
Notes and Further Readings.
