Fast Approximate Energy Minimization via Graph Cuts
IEEE Transactions on Pattern Analysis and Machine Intelligence
What Energy Functions Can Be Minimizedvia Graph Cuts?
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Registration with Guaranteed Displacement Regularity
International Journal of Computer Vision
Minimizing Nonsubmodular Functions with Graph Cuts-A Review
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Markov Random Field Modeling in Image Analysis
Markov Random Field Modeling in Image Analysis
International Journal of Computer Vision
Fusion Moves for Markov Random Field Optimization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Diffeomorphic registration using b-splines
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Deformable templates using large deformation kinematics
IEEE Transactions on Image Processing
Topology preserving deformable image matching using constrained hierarchical parametric models
IEEE Transactions on Image Processing
Combining geodesic interpolating splines and affine transformations
IEEE Transactions on Image Processing
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In this work we propose a topology-preserving registration method based on a discrete Markov random field of deformations and a block-matching procedure. For that purpose, the fidelity of a given deformation to the data is established by a block-matching strategy, the smoothness of the transformation is favored by an appropriate prior on the field and topology preservation is guaranteed by imposing some hard-constraints on the local configurations of the field. The resulting deformation is defined as the maximum a posteriori of the field and it is estimated via graph cuts. Results on medical images show the efficiency of using graph cuts based fusion moves for the optimization of the field even though its potentials are neither sparse nor separable and the reduced fused problem turns to be non-submodular.