Effective Level Set Image Segmentation With a Kernel Induced Data Term

M. Ben Salah, A. Mitiche, I. Ben Ayed
2010 IEEE Transactions on Image Processing  
This study investigates level set multiphase image segmentation by kernel mapping and piecewise constant modeling of the image data thereof. A kernel function maps implicitly the original data into data of a higher dimension so that the piecewise constant model becomes applicable. This leads to a flexible and effective alternative to complex modeling of the image data. The method uses an active curve objective functional with two terms: an original term which evaluates the deviation of the
more » ... d image data within each segmentation region from the piecewise constant model and a classic length regularization term for smooth region boundaries. Functional minimization is carried out by iterations of two consecutive steps: 1) minimization with respect to the segmentation by curve evolution via Euler-Lagrange descent equations and 2) minimization with respect to the regions parameters via fixed point iterations. Using a common kernel function, this step amounts to a mean shift parameter update. We verified the effectiveness of the method by a quantitative and comparative performance evaluation over a large number of experiments on synthetic images, as well as experiments with a variety of real images such as medical, satellite, and natural images, as well as motion maps. Index Terms-Kernel mapping, level set image segmentation, mean shift, multiphase, piecewise constant model.
doi:10.1109/tip.2009.2032940 pmid:19775964 fatcat:ee3ckrvrbfd3hgcc325vgbrrhm