A survey of image registration techniques
ACM Computing Surveys (CSUR)
A nonlinear variational problem for image matching
SIAM Journal on Scientific Computing
Extension of the ICP algorithm to nonrigid intensity-based registration of 3D volumes
Computer Vision and Image Understanding
Diffeomorphisms Groups and Pattern Matching in Image Analysis
International Journal of Computer Vision
Reliable Estimation of Dense Optical Flow Fields with Large Displacements
International Journal of Computer Vision
Variational Methods for Multimodal Image Matching
International Journal of Computer Vision
Understanding the "Demon's Algorithm": 3D Non-rigid Registration by Gradient Descent
MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
Fast Fluid Registration of Medical Images
VBC '96 Proceedings of the 4th International Conference on Visualization in Biomedical Computing
Non-Rigid Matching Using Demons
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Optimal registration of deformed images
Optimal registration of deformed images
Iconic feature based nonrigid registration: the PASHA algorithm
Computer Vision and Image Understanding - Special issue on nonrigid image registration
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms
International Journal of Computer Vision
Demons algorithms for fluid and curvature registration
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Fair: Flexible Algorithms for Image Registration
Fair: Flexible Algorithms for Image Registration
A generalization of free-form deformation image registration within the ITK finite element framework
WBIR'06 Proceedings of the Third international conference on Biomedical Image Registration
Fast parametric elastic image registration
IEEE Transactions on Image Processing
Random walks for deformable image registration
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
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We propose to characterize deformable registration methods in a unified way, based on their parametrization. In contrast to traditional classifications, we do not apply this characterization only to standard "parametric" methods such as B-Spline Free-form deformations, but we explicitly include elastic and fluid-type "non-parametric" methods, such as the classic variational approach, and the fluid demons method. To this end, we consider parametrizations by linear combinations of arbitrary basis functions. While for the variational approach we simply utilize piecewise linear bases, for the fluid demons method we provide a new interpretation by showing that it can be seen as inherently parametrized by densely located Gaussian basis functions. Furthermore, we show that the semi-implicit discretization of the variational approach can be seen as steepest descent, with a displacement parametrized by densely located bases, based on Green's functions corresponding to the regularization. This provides a further connection to the demons approaches. The proposed characterization is widely applicable and provides a simple and intuitive way of relating some of the arguably most commonly used methods to each other.