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Image Segmentation Using Euler’s Elastica as the Regularization

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Alabama, Box 870350, Tuscaloosa, AL, 35487, USA

    Wei Zhu

  2. Department of Mathematics, University of Bergen, Bergen, Norway

    Xue-Cheng Tai

  3. Office of the President, Hong Kong University of Science and Technology (HKUST), Clear Water Bay, Kowlon, Hong Kong

    Tony Chan

Authors
  1. Wei Zhu
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  2. Xue-Cheng Tai
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  3. Tony Chan
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Correspondence to Wei Zhu.

Additional information

This work has been supported by NSF contract DMS-1016504.

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Zhu, W., Tai, XC. & Chan, T. Image Segmentation Using Euler’s Elastica as the Regularization. J Sci Comput 57, 414–438 (2013). https://doi.org/10.1007/s10915-013-9710-3

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  • DOI: https://doi.org/10.1007/s10915-013-9710-3

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