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
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
Consistent multi-modal non-rigid registration based on a variational approach
Pattern Recognition Letters
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This paper is intended to address three of the most common problems arising in the field of non-rigid biomedical image registration. Firstly, a regularization term based on fractional-order derivatives is proposed. It can be seen as a generalization of the bio-inspired diffusion and curvature smoothing terms but, since it incorporates features of both regularizers, with this approach it is possible to obtain better registration results from a variational point of view. Next, a frequency-domain formulation for the image registration problem is presented. It provides efficient and stable implementations for the considered registration techniques. Finally, a two-step method is proposed for obtaining the optimal values of the registration parameters, because in the literature there is no agreement about which are the optimal values for these parameters, leading the authors to arbitrarily fix them. The resulting registration scheme, after the incorporation of these three strategies, is tested on two biomedical imaging scenarios.