Analysis of finite element discretizations of an optimal control formulation of the image registration problem

Eunjung Lee, Max Gunzburger

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)1321-1349
Number of pages29
JournalSIAM Journal on Numerical Analysis
Volume49
Issue number4
DOIs
Publication statusPublished - 2011 Sep 19

Fingerprint

Optimality System
Image registration
Finite Element Discretization
Image Registration
Optimal Control
Formulation
Gradient Method
Iterative methods
Discrete Systems
Optimal Control Problem
Error Estimates
Control Problem
Approximate Solution
Iteration

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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Analysis of finite element discretizations of an optimal control formulation of the image registration problem. / Lee, Eunjung; Gunzburger, Max.

In: SIAM Journal on Numerical Analysis, Vol. 49, No. 4, 19.09.2011, p. 1321-1349.

Research output: Contribution to journalArticle

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