Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multisubject Non-rigid Registration of Brain MRI Using Intensity and Geometric Features
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Isotropic Energies, Filters and Splines for Vector Field Regularization
Journal of Mathematical Imaging and Vision
A New Class of Elastic Body Splines for Nonrigid Registration of Medical Images
Journal of Mathematical Imaging and Vision
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Landmark matching via large deformation diffeomorphisms
IEEE Transactions on Image Processing
Fast parametric elastic image registration
IEEE Transactions on Image Processing
Robust and Accurate Registration of 2-D Electrophoresis Gels Using Point-Matching
IEEE Transactions on Image Processing
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We introduce a new approach for spline-based elastic image registration using both point landmarks and intensity information. As underlying deformation model we use Gaussian elastic body splines (GEBS), which are analytic solutions of the Navier equation under Gaussian forces and are represented by matrix-valued basis functions. We also incorporate landmark localization uncertainties represented by weight matrices. Our approach is formulated as an energy-minimizing functional that incorporates landmark and intensity information as well as a regularization based on GEBS. Since the approach is based on a physical deformation model, cross-effects in elastic deformations can be handled. We demonstrate the applicability of our scheme based on MR images of the human brain. It turns out that the new scheme is superior to a pure landmark-based as well as a pure intensity-based scheme.