Image segmentation using Euler's Elastica as the regularization

Wei Zhu*, Xue Cheng Tai, Tony Chan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)414-438
Number of pages25
JournalJournal of Scientific Computing
Issue number2
StatePublished - Nov 2013
Externally publishedYes

Bibliographical note

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


  • Augmented Lagrangian method
  • Euler's elastica
  • Image segmentation

ASJC Scopus subject areas

  • Software
  • General Engineering
  • Computational Mathematics
  • Theoretical Computer Science
  • Applied Mathematics
  • Numerical Analysis
  • Computational Theory and Mathematics


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