 |
Journal articles
Parameter selection in a Mumford-Shah geometrical model for the detection of thin structures
Abstract : We present a variational model to perform the segmentation of thin structures in MRI images (namely codimension 1 objects). It is based on the classical Mumford-Shah functional and we have added geometrical priors as constraints. We precisely describe the structure model (that we call tubes) and write the problem as a bilevel problem. We focus on the lower level optimization problem and give existence, uniqueness and regularity results for the solution. The keypoint is the fact that 2D/3D problems are equivalent to 1D ones. This gives hints to perform an automatic parameter tuning for numerical purpose.
Cited literature [26 references]
https://hal.archives-ouvertes.fr/hal-00918723
Contributor : Maïtine Bergounioux <>
Submitted on : Monday, July 7, 2014 - 5:53:59 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
Document(s) archivé(s) le : Tuesday, April 11, 2017 - 10:21:00 AM
Contributor : Maïtine Bergounioux <>
Submitted on : Monday, July 7, 2014 - 5:53:59 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
Document(s) archivé(s) le : Tuesday, April 11, 2017 - 10:21:00 AM
File
articleBV4.pdf
Files produced by the author(s)
