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.
Cite this article
Jonas Haehnle, Numerical approximations of the Mumford–Shah functional for unit vector fields. Interfaces Free Bound. 13 (2011), no. 3, pp. 297–326DOI 10.4171/IFB/259