Geometric Encoding of Color Images

Formal analysis and computer recognition of 2D color images is an important branch of modern computer geometry. However, the present methods, in spite of their longstanding high development, are not quite satisfactory and seem to be much worse than (unknown) algorithms used by our brain to analyze v...

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Bibliographic Details
Published in:Moscow University mathematics bulletin 2018, Vol.73 (1), p.1-8
Main Author: Nosovskii, G. V.
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Brain
Coding
Color imagery
Differential geometry
Digital imaging
Gray scale
Mathematics
Mathematics and Statistics
Object recognition
Two dimensional analysis
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Summary:Formal analysis and computer recognition of 2D color images is an important branch of modern computer geometry. However, the present methods, in spite of their longstanding high development, are not quite satisfactory and seem to be much worse than (unknown) algorithms used by our brain to analyze visual information. Almost all existing algorithms omit colors and deal with gray scale transformations only. However, in many cases color information is important and has to be proceeded. In this paper a fundamentally new method of encoding and analyzing color digital images is proposed. The main idea of this method is that a full-color digital image is encoded by a special two-dimensional surface in the three-dimensional space. After that the surface is analyzed by methods of differential geometry rather than traditional gradient-based or Hessian-based methods (like SIFT, GLOH, SURF, Canny operator, and many other well-known algorithms).
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132218010011