Abstract
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.
Original language | English |
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Pages (from-to) | 1321-1349 |
Number of pages | 29 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 49 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2011 |
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics