Multiresolution elastic matching
Computer Vision, Graphics, and Image Processing
A survey of image registration techniques
ACM Computing Surveys (CSUR)
A nonlinear variational problem for image matching
SIAM Journal on Scientific Computing
Discrete-time signal processing (2nd ed.)
Discrete-time signal processing (2nd ed.)
Landmark-Based Image Analysis: Using Geometric and Intensity Models
Landmark-Based Image Analysis: Using Geometric and Intensity Models
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
Elastic Model Based Non-rigid Registration Incorporation Statistical Shape Information
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
Multimodality Deformable Registration of Pre- and Intraoperative Images for MRI-guided Brain Surgery
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
The Correlation Ratio as a New Similarity Measure for Multimodal Image Registration
MICCAI '98 Proceedings of the First 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
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
Multimodal Image Registration Using a Variational Approach
SIAM Journal on Scientific Computing
A Multigrid Method for a Fourth-Order Diffusion Equation with Application to Image Processing
SIAM Journal on Scientific Computing
A Full Curvature Based Algorithm for Image Registration
Journal of Mathematical Imaging and Vision
Consistent multi-modal non-rigid registration based on a variational approach
Pattern Recognition Letters
Periodic Plus Smooth Image Decomposition
Journal of Mathematical Imaging and Vision
A robust multigrid approach for variational image registration models
Journal of Computational and Applied Mathematics
Image Morphing in Frequency Domain
Journal of Mathematical Imaging and Vision
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Image registration is a widely used task in image analysis, having applications in various fields. Its classical formulation is usually given in the spatial domain. In this paper, a novel theoretical framework defined in the frequency domain is proposed for approaching the multidimensional image registration problem. The variational minimization of the joint energy functional is performed entirely in the frequency domain, leading to a simple formulation and design, and offering important computational savings if the multidimensional FFT algorithm is used. Therefore the proposed framework provides more efficient implementations of the most common registration methods than already existing approaches, adding simplicity to the variational image registration formulation and allowing for an easy extension to higher dimensions by using the multidimensional Fourier transform of discrete multidimensional signals. The new formulation also provides an interesting framework to design tailor-made regularization models apart from the classical, spatial domain based schemes. Simulation examples validate the theoretical results.