Numerical Approximations of the Mumford-shah Functional for Unit Vector Fields

@inproceedings{Haehnle2010NumericalAO,
title={Numerical Approximations of the Mumford-shah Functional for Unit Vector Fields},
author={Jonas Haehnle},
year={2010}
}

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.