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Contour Detection and Completion for Inpainting and Segmentation Based on Topological Gradient and Fast Marching Algorithms
Author(s) -
Didier Auroux,
Laurent D. Cohen,
Mohamed Masmoudi
Publication year - 2011
Publication title -
international journal of biomedical imaging
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.626
H-Index - 41
eISSN - 1687-4196
pISSN - 1687-4188
DOI - 10.1155/2011/592924
Subject(s) - inpainting , fast marching method , image (mathematics) , computer science , segmentation , image segmentation , algorithm , edge detection , image gradient , artificial intelligence , path (computing) , topology (electrical circuits) , image processing , enhanced data rates for gsm evolution , computer vision , mathematics , pattern recognition (psychology) , combinatorics , programming language
We combine in this paper the topological gradient, which is a powerful method for edge detection in image processing, and a variant of the minimal path method in order to find connected contours. The topological gradient provides a more global analysis of the image than the standard gradient and identifies the main edges of an image. Several image processing problems (e.g., inpainting and segmentation) require continuous contours. For this purpose, we consider the fast marching algorithm in order to find minimal paths in the topological gradient image. This coupled algorithm quickly provides accurate and connected contours. We present then two numerical applications, to image inpainting and segmentation, of this hybrid algorithm.

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