Open Access Peer-reviewed

W. Blaschke's Theory Application in Digital Image Processing

O. Samarina*1, V. Slavsky1

1Yugra State University, Khanty-Mansiysk, Russia

Journal of Mathematical Sciences and Applications. 2013, 1(2), 17-23. DOI: 10.12691/jmsa-1-2-1
Published online: August 25, 2017

Abstract

Texture classification is one of the basic images processing tasks. In this paper we present a geometrical approach to the images analysis and processing. We introduce topological invariants of the RGB-image based on W. Blaschke's web geometry. The approach to images processing presented in the given work, can be used at the solving of images classification problems, their recognition, and also at construction of statistical methods of group of images processing.

Keywords:

invariants, multichannel image, three-webs
[1]  Blaschke, W., Einfuhrung in die Geometrie der Waben, Russian transl.: GITTL, Moskva, 1959. PubMed
 
[2]  Samarina, O. V., Group images invariants, Germany: Lambert Academic Publishing, 2010.
 
[3]  Samarina, O. V., W. Blaschke's curvature as RGB-images invariant. [Online]. Available: http://conference.kemsu.ru/ conf/GA2011.