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Proceedings Paper

Blur recognition using second fundamental form of image surface
Author(s): Roman Kvyetnyy; Yuriy Bunyak; Olga Sofina; Andrzej Kotyra; Ryszard S. Romaniuk; Azhar Tuleshova
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Paper Abstract

The second fundamental form (SFF) characterizes surface bending as value and direction of normal vector to surface. The value of SFF can be used for blur elimination by simple subtractions of the SFF from image signal. This operation narrows amplitude fronts saving contours as inflection lines. However, it sharpens all small fluctuations and introduces image distortion like noise. Therefore blur recognition and elimination using SFF has to be accompanied by procedure of image estimate optimization in accordance with regularization functional which acts as nonlinear filter. Two iterative methods of original image estimate optimization are suggested. The first method uses dynamic regularization basing on condition of iteration process convergence. The second method implements the regularization in curved space with metric defined on image estimate surface. The given iterative schemes have faster convergence in comparison with known ones.

Paper Details

Date Published: 17 December 2015
PDF: 9 pages
Proc. SPIE 9816, Optical Fibers and Their Applications 2015, 98161A (17 December 2015); doi: 10.1117/12.2229103
Show Author Affiliations
Roman Kvyetnyy, Vinnytsia National Technical Univ. (Ukraine)
Yuriy Bunyak, Vinnytsia National Technical Univ. (Ukraine)
Olga Sofina, Vinnytsia National Technical Univ. (Ukraine)
Andrzej Kotyra, Lublin Univ. of Technology (Poland)
Ryszard S. Romaniuk, Warsaw Univ. of Technology (Poland)
Azhar Tuleshova, Al-Farabi Kazakh National Univ. (Kazakhstan)

Published in SPIE Proceedings Vol. 9816:
Optical Fibers and Their Applications 2015
Ryszard S. Romaniuk; Waldemar Wojcik; Andrzej Smolarz, Editor(s)

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