We show how the piecewise-smooth Mumford-Shah segmentation problem can be solved using the level set method of Osher and Sethian (1988). The obtained algorithm can be simultaneously used to denoise, segment, detect-extract edges, and perform active contours. The proposed model is also a generalisation of a previous active contour model without edges, proposed by the authors in Chan et al., (2001), and of its extension to the case with more than two segments for piecewise-constant segmentation Chan et al., (2000). Based on the four color theorem, we can assume that in general, at most two level set functions are sufficient to detect and represent distinct objects of distinct intensities, with triple junctions, or T-junctions.
A level set algorithm for minimizing the Mumford-Shah functional in image processing
01.01.2001
884667 byte
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
A Level Set Algorithm for Minimizing the Mumford-Shah Functional in Image Processing
British Library Conference Proceedings | 2001
|A Mumford-Shah model on lattice
British Library Online Contents | 2008
|Combinatorial Optimization of the Discretized Multiphase Mumford–Shah Functional
British Library Online Contents | 2013
|Mumford-Shah Regularizer with Contextual Feedback
British Library Online Contents | 2009
|A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
British Library Online Contents | 2002
|