Direct methods in the calculus of variations
Direct methods in the calculus of variations
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 survey of image registration techniques
ACM Computing Surveys (CSUR)
Computing the differential characteristics of isointensity surface
Computer Vision and Image Understanding
Diffeomorphisms Groups and Pattern Matching in Image Analysis
International Journal of Computer Vision
Computational anatomy: an emerging discipline
Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Topographic Maps and Local Contrast Changes in Natural Images
International Journal of Computer Vision
Geometric partial differential equations and image analysis
Geometric partial differential equations and image analysis
Iterative Multigrid Regularization Techniques for Image Matching
SIAM Journal on Scientific Computing
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
MAP MRF Joint Segmentation and Registration
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part I
Simultaneous Segmentation and Registration for Functional MR Images
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 1 - Volume 1
A Variational Framework for Joint Segmentation and Registration
MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
Alignment by Maximization of Mutual Information
Alignment by Maximization of Mutual Information
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms
International Journal of Computer Vision
Coupled PDEs for Non-Rigid Registration and Segmentation
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
An image processing approach to surface matching
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Deformable templates using large deformation kinematics
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Image Segmentation and Selective Smoothing Based on Variational Framework
Journal of Signal Processing Systems
Geodesics in Shape Space via Variational Time Discretization
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Discriminative sliding preserving regularization in medical image registration
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
IPCAI'10 Proceedings of the First international conference on Information processing in computer-assisted interventions
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part II
A Continuum Mechanical Approach to Geodesics in Shape Space
International Journal of Computer Vision
A combined segmentation and registration framework with a nonlinear elasticity smoother
Computer Vision and Image Understanding
Joint tof image denoising and registration with a CT surface in radiation therapy
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
From a modified ambrosio-tortorelli to a randomized part hierarchy tree
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Automated approaches for analysis of multimodal MRI acquisitions in a study of cognitive aging
Computer Methods and Programs in Biomedicine
From a Non-Local Ambrosio-Tortorelli Phase Field to a Randomized Part Hierarchy Tree
Journal of Mathematical Imaging and Vision
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Multimodal image registration significantly benefits from previous denoising and structure segmentation and vice versa. In particular combined information of different image modalities makes segmentation significantly more robust. Indeed, fundamental tasks in image processing are highly interdependent. A variational approach is presented, which combines the detection of corresponding edges, an edge preserving denoising and the morphological registration via a non-rigid deformation for a pair of images with structural correspondence. The morphology of an image function is split into a singular part consisting of the edge set and a regular part represented by the field of normals on the ensemble of level sets. A Mumford-Shah type free discontinuity problem is applied to treat the singular morphology and the matching of corresponding edges under the deformation. The matching of the regular morphology is quantified by a second contribution which compares deformed normals and normals at deformed positions. Finally, a nonlinear elastic energy controls the deformation itself and ensures smoothness and injectivity. A multi scale approach that is based on a phase field approximation leads to an effective and efficient algorithm. Numerical experiments underline the robustness of the presented approach and show applications on medical images.