Image Segmentation Using Euler's Elastica as the Regularization

Authors:
Wei Zhu;Xue-Cheng Tai;Tony Chan
Affiliations:
Department of Mathematics, University of Alabama, Tuscaloosa, USA 35487;Department of Mathematics, University of Bergen, Bergen, Norway;Office of the President, Hong Kong University of Science and Technology (HKUST), Kowlon, Hong Kong
Venue:
Journal of Scientific Computing
Year:
2013

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Abstract

The active contour segmentation model of Chan and Vese has been widely used and generalized in different contexts in the literature. One possible modification is to employ Euler's elastica as the regularization of active contour. In this paper, we study the new effects of this modification and validate them numerically using the augmented Lagrangian method.