Blur recognition using second fundamental form of image surface

Roman Kvyetnyy; Yuriy Bunyak; Olga Sofina; Andrzej Kotyra; Ryszard S. Romaniuk; Azhar Tuleshova

doi:10.1117/12.2229103

17 December 2015 Blur recognition using second fundamental form of image surface

Roman Kvyetnyy, Yuriy Bunyak, Olga Sofina, Andrzej Kotyra, Ryszard S. Romaniuk, Azhar Tuleshova

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Proceedings Volume 9816, Optical Fibers and Their Applications 2015; 98161A (2015) https://doi.org/10.1117/12.2229103
Event: 16th Conference on Optical Fibers and Their Applications, 2015, Lublin and Naleczow, Poland

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.

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Roman Kvyetnyy, Roman Kvyetnyy, Yuriy Bunyak, Yuriy Bunyak, Olga Sofina, Olga Sofina, Andrzej Kotyra, Andrzej Kotyra, Ryszard S. Romaniuk, Ryszard S. Romaniuk, Azhar Tuleshova, Azhar Tuleshova, "Blur recognition using second fundamental form of image surface", Proc. SPIE 9816, Optical Fibers and Their Applications 2015, 98161A (17 December 2015); doi: 10.1117/12.2229103; https://doi.org/10.1117/12.2229103

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