An efficient variational multiphase motion for the Mumford-Shah segmentation model

T. F. Chan*, L. A. Vese

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

52 Scopus citations


We propose here a new multiphase level set model for image segmentation, using Mumford-Shah techniques in the piecewise-constant case. The proposed model is also a generalization of our active contour model without edges based on a two-phase segmentation. In order to handle multiple individual segments and complex topologies (such as multiple junctions), we propose a new and efficient multiphase representation by level sets: The necessary number of level set functions is considerably reduced (we need only n level set functions to represent 2n phases or segments), and in addition we have overcomed the problems of vacuum and overlap, naturally arising in multiphase problems. Finally, we show how the model can be used in image segmentation, for synthetic and real (possible noisy) pictures.

Original languageEnglish (US)
Pages (from-to)490-494
Number of pages5
JournalConference Record of the Asilomar Conference on Signals, Systems and Computers
StatePublished - 2000
Externally publishedYes
Event34th Asilomar Conference - Pacific Grove, CA, United States
Duration: Oct 29 2000Nov 1 2000

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications


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