Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Combinatorial Homology in a Perspective of Image Analysis

Combinatorial Homology in a Perspective of Image Analysis AbstractThis is the sequel of a paper where we introduced an intrinsic ho-motopy theory and homotopy groups for simplicial complexes. We study here the relations of this homotopy theory with the well-known homology theory of simplicial complexes. Also, our investigation is aimed at applications in image analysis. A metric space 𝑋 representing an image, has a structure of simplicial complex at each resolution ε > 0, and the corresponding combinatorial homology groups give information on the image. Combining the methods developed here with programs for automatic computation of combinatorial homology might open the way to realistic applications. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Combinatorial Homology in a Perspective of Image Analysis

Georgian Mathematical Journal , Volume 10 (1): 22 – Mar 1, 2003

Loading next page...
 
/lp/de-gruyter/combinatorial-homology-in-a-perspective-of-image-analysis-sYLSlgESr8

References (21)

Publisher
de Gruyter
Copyright
Copyright © by Walter de Gruyter GmbH
ISSN
1572-9176
eISSN
1572-9176
DOI
10.1515/GMJ.2003.77
Publisher site
See Article on Publisher Site

Abstract

AbstractThis is the sequel of a paper where we introduced an intrinsic ho-motopy theory and homotopy groups for simplicial complexes. We study here the relations of this homotopy theory with the well-known homology theory of simplicial complexes. Also, our investigation is aimed at applications in image analysis. A metric space 𝑋 representing an image, has a structure of simplicial complex at each resolution ε > 0, and the corresponding combinatorial homology groups give information on the image. Combining the methods developed here with programs for automatic computation of combinatorial homology might open the way to realistic applications.

Journal

Georgian Mathematical Journalde Gruyter

Published: Mar 1, 2003

There are no references for this article.