Symmetric Nonrigid Image Registration: Application to Average Brain Templates Construction
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
A Non-rigid Registration Framework That Accommodates Resection and Retraction
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Use of Simulated Atrophy for Performance Analysis of Brain Atrophy Estimation Approaches
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Generalized likelihood ratio tests for change detection in diffusion tensor images
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
FIMH'07 Proceedings of the 4th international conference on Functional imaging and modeling of the heart
Digital homeomorphisms in deformable registration
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Sufficient condition for local invertibility of spatio-temporal 4D B-spline deformations
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Movement invariants-based algorithm for medical image tilt correction
International Journal of Automation and Computing
Topology preservation evaluation of compact-support radial basis functions for image registration
Pattern Recognition Letters
Monomodal registration with adaptive parameter computing
International Journal of Computer Applications in Technology
A review of atlas-based segmentation for magnetic resonance brain images
Computer Methods and Programs in Biomedicine
Pattern Recognition Letters
Journal of Mathematical Imaging and Vision
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This paper deals with topology preservation in three-dimensional (3-D) deformable image registration. This work is a nontrivial extension of , which addresses the case of two-dimensional (2-D) topology preserving mappings. In both cases, the deformation map is modeled as a hierarchical displacement field, decomposed on a multiresolution B-spline basis. Topology preservation is enforced by controlling the Jacobian of the transformation. Finding the optimal displacement parameters amounts to solving a constrained optimization problem: The residual energy between the target image and the deformed source image is minimized under constraints on the Jacobian. Unlike the 2-D case, in which simple linear constraints are derived, the 3-D B-spline-based deformable mapping yields a difficult (until now, unsolved) optimization problem. In this paper, we tackle the problem by resorting to interval analysis optimization techniques. Care is taken to keep the computational burden as low as possible. Results on multipatient 3-D MRI registration illustrate the ability of the method to preserve topology on the continuous image domain.