Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Piecewise-Smooth Dense Optical Flow via Level Sets
International Journal of Computer Vision
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
A duality based algorithm for TV-L¹-optical-flow image registration
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging
Journal of Mathematical Imaging and Vision
A landmark-based primal-dual approach for discontinuity preserving registration
MICCAI'12 Proceedings of the 4th international conference on Abdominal Imaging: computational and clinical applications
MICCAI'12 Proceedings of the 4th international conference on Abdominal Imaging: computational and clinical applications
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Discontinuous displacement fields are quite common in the medical field, in particular at organ boundaries with breathing induced organ motion. The sliding motion of the liver along the abdominal wall clearly causes a discontinuous displacement field. Today's common medical image registration methods, however, cannot properly deal with this kind of motion as their regularisation term enforces a smooth displacement field. Since these motion discontinuities appear at organ boundaries, motion segmentation could play an important guiding role during registration. In this paper we propose a novel method that integrates registration and globally optimal motion segmentation in a variational framework. The energy functional is formulated such that the segmentation, via continuous cuts, supports the computation of discontinuous displacement fields. The proposed energy functional is then minimised in a coarse-to-fine strategy by using a fast dual method for motion segmentation and a fixed point iteration scheme for motion estimation. Experimental results are shown for synthetic and real MR images of breathing induced liver motion.