Inserted: 9 oct 2009
Last Updated: 5 oct 2010
Journal: Multiscale Model. Simul.
We propose a new model for segmenting piecewise constant images with irregular object boundaries: a variant of the Chan-Vese model, where the length penalization of the boundaries is replaced by the area of their neighborhood of thickness $\epsilon$. Our aim is to keep fine details and irregularities of the boundaries while denoising additive Gaussian noise. For the numerical computation we revisit the classical $BV$ level set formulation considering suitable Lipschitz level set functions instead of $BV$ ones.
Keywords: level set, Denoising, Variational segmentation