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Published in:
2009 | OriginalPaper | Chapter
Graph Cut Optimization for the Piecewise Constant Level Set Method Applied to Multiphase Image Segmentation
Authors : Egil Bae, Xue-Cheng Tai
Published in: Scale Space and Variational Methods in Computer Vision
Publisher: Springer Berlin Heidelberg
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The piecewise constant level set method (PCLSM) has recently emerged as a variant of the level set method for variational interphase problems. Traditionally, the Euler-Lagrange equations are solved by some iterative numerical method for PDEs. Normally the speed is slow. In this work, we focus on the piecewise constant level set method (PCLSM) applied to the multiphase Mumford-Shah model for image segmentation. Instead of solving the Euler-Lagrange equations of the resulting minimization problem, we propose an efficient combinatorial optimization technique, based on graph cuts. Because of a simplification of the length term in the energy induced by the PCLSM, the minimization problem is not NP hard. Numerical experiments on image segmentation demonstrate that the new approach is very superior in terms of efficiency, while maintaining the same quality.