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Proceedings Paper

Image restoration based on topological properties of functions of two variables
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Paper Abstract

Image restoration refers to the problem of estimating an ideal image from its observed degraded one. Functions of two variables can be well described with two variations. One of them is a total variation for continuously differentiable functions. Another one is called a linear variation. The linear variation is a topological characteristic of a function of two variables whereas the total variation is a metrical characteristic of a function. A restoration algorithm based on both total variation-based regularization and variations is proposed. Computer simulation results illustrate the performance of the proposed algorithm for restoration of blurred images.

Paper Details

Date Published: 15 October 2012
PDF: 7 pages
Proc. SPIE 8499, Applications of Digital Image Processing XXXV, 84990A (15 October 2012); doi: 10.1117/12.928944
Show Author Affiliations
Artyom Makovetskii, Chelyabinsk State Univ. (Russian Federation)
Vitaly Kober, Ctr. de Investigación Científica y de Educación Superior de Ensenada (Mexico)

Published in SPIE Proceedings Vol. 8499:
Applications of Digital Image Processing XXXV
Andrew G. Tescher, Editor(s)

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