A nonlinear variational problem for image matching
SIAM Journal on Scientific Computing
Variational problems on flows of diffeomorphisms for image matching
Quarterly of Applied Mathematics
Iterative Multigrid Regularization Techniques for Image Matching
SIAM Journal on Scientific Computing
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
Perspectives in Flow Control and Optimization
Perspectives in Flow Control and Optimization
A Multilevel Method for Image Registration
SIAM Journal on Scientific Computing
A Full Curvature Based Algorithm for Image Registration
Journal of Mathematical Imaging and Vision
An Octree Method for Parametric Image Registration
SIAM Journal on Scientific Computing
Journal of Mathematical Imaging and Vision
Deformable templates using large deformation kinematics
IEEE Transactions on Image Processing
Image Sequence Interpolation Using Optimal Control
Journal of Mathematical Imaging and Vision
SIAM Journal on Numerical Analysis
Hi-index | 0.00 |
The basic idea of image registration is to find a reasonable transformation of an image so that the resulting difference between it and another image is made small. We derive an optimal control method for determining such a transformation; the approach is based on the grid deformation method and seeks to minimize an objective functional that measures the difference between the transformed image and the reference image. The existence of an optimal transformation is proved as is the applicability of the Lagrange multiplier method. Then, an optimality system from which optimal transformations can be obtained is derived.