Journal of Mathematical Sciences and Applications
ISSN (Print): 2333-8784 ISSN (Online): 2333-8792 Website: http://www.sciepub.com/journal/jmsa Editor-in-chief: Prof. (Dr.) Vishwa Nath Maurya, Cenap ozel
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Journal of Mathematical Sciences and Applications. 2013, 1(2), 17-23
DOI: 10.12691/jmsa-1-2-1
Open AccessReview Article

W. Blaschke's Theory Application in Digital Image Processing

O. Samarina1 and V. Slavsky1

1Yugra State University, Khanty-Mansiysk, Russia

Pub. Date: June 06, 2013

Cite this paper:
O. Samarina and V. Slavsky. W. Blaschke's Theory Application in Digital Image Processing. Journal of Mathematical Sciences and Applications. 2013; 1(2):17-23. doi: 10.12691/jmsa-1-2-1

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

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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References:

[1]  Blaschke, W., Einfuhrung in die Geometrie der Waben, Russian transl.: GITTL, Moskva, 1959.
 
[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.