Multiresolution elastic matching
Computer Vision, Graphics, and Image Processing
A nonlinear variational problem for image matching
SIAM Journal on Scientific Computing
Handbook of mathematics (3rd ed.)
Handbook of mathematics (3rd ed.)
Alignment by Maximization of Mutual Information
International Journal of Computer Vision
Consistent multi-modal non-rigid registration based on a variational approach
Pattern Recognition Letters
Optimal parameters selection for non-parametric image registration methods
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Frequency domain regularization of d-dimensional structure tensor-based directional fields
Image and Vision Computing
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In the field of non-rigid medical image registration, many regularizers based on first- or second-order derivatives have been studied. In this paper, a new regularization term based on fractional order derivatives is proposed for the registration of multimodal (e.g., medical) images. It can be seen as a generalization of the diffusion and curvature smoothing terms, but with this approach it is possible to obtain better registration results in terms of both similarity of the images and smoothness of the transformation. This registration scheme is tested on two realistic medical imaging scenarios, comparing the obtained results with the optimally registered diffusion and curvature cases.