Numerical Techniques for Level Set Models: an Image Segmentation Perspective

In this survey, we present some numerical schemes for the approximation of level set models related to image processing and segmentation, focusing in particular on finite difference and semi-Lagrangian methods. The schemes reviewed here show various interesting features: in particular, they are explicit, may allow for large time steps, and handle degenerate problems and nonsmooth solutions without adding too much numerical diffusion. Several examples will illustrate their use in the image processing problems under consideration