Introduction to numerical linear algebra and optimisation
Introduction to numerical linear algebra and optimisation
A nonlinear variational problem for image matching
SIAM Journal on Scientific Computing
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Optimal Control Formulation for Determining Optical Flow
SIAM Journal on Scientific Computing
First-Order System $\CL\CL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations
SIAM Journal on Numerical Analysis
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
Perspectives in Flow Control and Optimization
Perspectives in Flow Control and Optimization
Medical Image Registration and Interpolation by Optical Flow with Maximal Rigidity
Journal of Mathematical Imaging and Vision
An Optimal Control Formulation of an Image Registration Problem
Journal of Mathematical Imaging and Vision
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The goal of image registration is to determine a transformation of an image so that the resulting image is close to another image. We use an optimal control approach to determine the transformation. We precisely define the optimal control problem that solves the image registration problem, and state the optimality system corresponding to that control problem. We then define finite element discretizations of the optimality system and derive error estimates for the approximate solutions. We also define and prove the convergence of a gradient iterative method for the solution of the discrete optimality system.