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Zbl 1039.68779
Chan, Tony F.; Vese, Luminita A.
Active contours without edges. (English)
[J] IEEE Trans. Image Process. 10, No. 2, 266-277 (2001). ISSN 1057-7149

Summary: We propose a new model for active contours to detect objects in a given image, based on techniques of curve evolution, Mumford-Shah functional for segmentation and level sets. Our model can detect objects whose boundaries are not necessarily defined by gradient. We minimize an energy which can be seen as a particular case of the minimal partition problem. In the level set formulation, the problem becomes a ``mean-curvature flow''-like evolving the active contour, which will stop on the desired boundary. However, the stopping term does not depend on the gradient of the image, as in the classical active contour models, but is instead related to a particular segmentation of the image. We will give a numerical algorithm using finite differences. Finally, we will present various experimental results and in particular some examples for which the classical snakes methods based on the gradient are not applicable. Also, the initial curve can be anywhere in the image, and interior contours are automatically detected.

MSC 2000:: *68U10 Image processing

Keywords: Mumford-Shah functional; segmentation; level sets

Cited in: Zbl 1216.94007 Zbl 1216.65024 Zbl 1169.68640 Zbl 1149.68438 Zbl 1115.68556 Zbl 1087.65016

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