Numerical approximations of the Mumford–Shah functional for unit vector fields
Jonas Haehnle · Interfaces and Free Boundaries Mathematical Analysis Computation and Applications · 2011
Two numerical approximation schemes for minimising the Mumford–Shah functional for unit vector fields are proposed, analysed, and compared. The first uses a projection strategy, the second a penalisation strategy to enforce the sphere constraint. Both schemes are then applied to the segmentation of colour images using the Chromaticity and Brightness colour model.