An Optimal Control Formulation of an Image Registration Problem

被引：0
|
作者：
Eunjung Lee
Max Gunzburger
机构：
[1] Florida State University,Department of Scientific Computing
[2] Dirac Science Library,Department of Computational Science and Engineering
[3] Yonsei University,undefined
来源：
Journal of Mathematical Imaging and Vision | 2010年 / 36卷
关键词：
Image registration; Optimal control problem; Grid deformation method; Optimal solution; Lagrange multipliers;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：69 / 80
页数：11
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