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A Mumford-Shah level-set approach for geometric image registration
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| Venue: | SIAM Appl. Math |
| Citations: | 17 - 6 self |
BibTeX
@ARTICLE{Droske_amumford-shah,
author = {Marc Droske and Wolfgang Ring},
title = {A Mumford-Shah level-set approach for geometric image registration},
journal = {SIAM Appl. Math},
year = {}
}
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Abstract
Abstract. A new, fully automated method for non-rigid registration of multimodal images is presented. Due to the large interdependance of segmentation and registration, the approach is based on simultaneous segmentation and edge-alignment. The two processes are directly coupled and thus benefits from using complementary information of the entire underlying dataset. It is formulated as a variational joint free discontinuity problem in the Mumford-Shah framework, with respect to a geometric variable describing the contour set and a functional variable which represents the underlying deformation. The contour set is represented by a level-set function. We derive a regularized gradient flow and describe an efficient numerical method using and Finite Element discretization and multigrid techniques. Finally, we illustrate the method in several applications, such as multi-modal intra-patient registration and reconstruction by registration to a reference object. 1.
Keyphrases
mumford-shah level-set approach geometric image registration contour set several application finite element discretization complementary information multimodal image geometric variable level-set function variational joint free discontinuity problem multigrid technique efficient numerical method mumford-shah framework regularized gradient flow entire underlying dataset underlying deformation simultaneous segmentation large interdependance reference object functional variable multi-modal intra-patient registration non-rigid registration
