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Variational cost functions that are based on pairwise similarity between pixels can be minimized within level set framework resulting in a binary image segmentation. In this paper we extend such cost functions and address multi-region image segmentation problem by employing a multi-phase level set framework. For multi-modal images cost functions become more complicated and relatively difficult to minimize. We extend our previous work, proposed for background/foreground separation, to the segmentation of images in more than two regions. We also demonstrate an efficient implementation of the curve evolution, which reduces the computational time significantly. Finally, we validate the proposed method on the Berkeley Segmentation Data Set by comparing its performance with other segmentation techniques.
Segmentation, Edge and feature detection

L. Bertelli, B. Manjunath, F. Gibou and B. Sumengen, "A Variational Framework for Multiregion Pairwise-Similarity-Based Image Segmentation," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 30, no. , pp. 1400-1414, 2007.
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