Multichannel image segmentation using adaptive finite elements |
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Authors: | J Michael Fried |
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Affiliation: | 1. Angewandte Mathematik III, Universit?t Erlangen, Haberstra?e 2, 91058, Erlangen, Germany
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Abstract: | We present an adaptive finite element algorithm for segmentation with denoising of multichannel images in two dimensions,
of which an extension to three dimensional images is straight forward. It is based on a level set formulation of the Mumford–Shah
approach proposed by Chan and Vese in (JVCIR 11:130–141,(2000); IEEE Trans Image Proces 10(2):266–277, (2001); Int J Comp
Vis 50(3):271–293, (2002)) In case of a minimal partition problem an exact solution is given and convergence of the discrete
solution towards this solution is numerically verified. |
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Keywords: | |
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