Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
A multigrid tutorial: second edition
A multigrid tutorial: second edition
Multigrid
Methods for Solving Systems of Nonlinear Equations
Methods for Solving Systems of Nonlinear Equations
Iterative Multigrid Regularization Techniques for Image Matching
SIAM Journal on Scientific Computing
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Towards Ultimate Motion Estimation: Combining Highest Accuracy with Real-Time Performance
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
A Multigrid Method for a Fourth-Order Diffusion Equation with Application to Image Processing
SIAM Journal on Scientific Computing
A Multilevel Method for Image Registration
SIAM Journal on Scientific Computing
International Journal of Computer Vision
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Journal of Computational Physics
A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration
Journal of Scientific Computing
Multigrid based total variation image registration
Computing and Visualization in Science
A Fourier Domain Framework for Variational Image Registration
Journal of Mathematical Imaging and Vision
Adaptive Mesh Refinement for Nonparametric Image Registration
SIAM Journal on Scientific Computing
On two multigrid algorithms for modeling variational multiphase image segmentation
IEEE Transactions on Image Processing
Optimal parameters selection for non-parametric image registration methods
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Efficient and reliable schemes for nonlinear diffusion filtering
IEEE Transactions on Image Processing
Variational optical flow computation in real time
IEEE Transactions on Image Processing
Hi-index | 7.29 |
Variational registration models are non-rigid and deformable imaging techniques for accurate registration of two images. As with other models for inverse problems using the Tikhonov regularization, they must have a suitably chosen regularization term as well as a data fitting term. One distinct feature of registration models is that their fitting term is always highly nonlinear and this nonlinearity restricts the class of numerical methods that are applicable. This paper first reviews the current state-of-the-art numerical methods for such models and observes that the nonlinear fitting term is mostly 'avoided' in developing fast multigrid methods. It then proposes a unified approach for designing fixed point type smoothers for multigrid methods. The diffusion registration model (second-order equations) and a curvature model (fourth-order equations) are used to illustrate our robust methodology. Analysis of the proposed smoothers and comparisons to other methods are given. As expected of a multigrid method, being many orders of magnitude faster than the unilevel gradient descent approach, the proposed numerical approach delivers fast and accurate results for a range of synthetic and real test images.