Preprint A581/2008
A level set method for the Mumford-Shah functional and fracture
Marcus Sarkis | Larsen , Christopher | Richardson, Casey
Keywords: Mumford-Shah | image segmentation | fracture | free discontinuity problem | level-set method
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.