Preprint serie A 581/2008

Christopher Larsen , Casey Richardson , Marcus Sarkis

Keywords:
Mumford-Shah, image segmentation, fracture, free discontinuity problem, level-set method

Abstract:
Existing level set methods for the Mumford-Shah functional have been incapable o f obtaining certain features, such as crack-tips and the presence of only triple junctions, which are known to occur in Mumford-Shah minimizers (and corresponding variational models for fracture). We introduce a new level set method for computing stationary points of certain free discontinuity problems that does obtain these critical features. Numerical experiments are presented to validate the n ew level set method.

MSC 2000:
49J10    Free problems in two or more independent variables

Notes:
Submitted.