Journal
IMAGE PROCESSING ON LINE
Volume 2, Issue -, Pages 214-224Publisher
IMAGE PROCESSING ONLINE-IPOL
DOI: 10.5201/ipol.2012.g-cv
Keywords
image segmentation; level sets
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Funding
- National Science Foundation [DMS-1004694]
- Office of Naval Research [N0001497-1-0839]
- European Research Council
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While many segmentation methods rely heavily in some way on edge detection, the Active Contours Without Edges method by Chan and Vese [7, 9] ignores edges completely. Instead, the method optimally fits a two-phase piecewise constant model to the given image. The segmentation boundary is represented implicitly with a level set function, which allows the segmentation to handle topological changes more easily than explicit snake methods. This article describes the level set formulation of the Chan-Vese model and its numerical solution using a semi-implicit gradient descent. We also discuss the Chan-Sandberg-Vese method [8], a straightforward extension of Chan-Vese for vector-valued images.
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