A direct method for the solutionof an optimal control problem arising from image registration

A direct method for the solutionof an optimal control problem arising from image registration
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解决图像配准最优控制问题的直接方法

DOI:
10.3934/naco.2012.2.487
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发表时间:
2012
期刊:
Numerical Algebra, Control and Optimization
影响因子:
--
通讯作者:
M. Wagner
M. Wagner
中科院分区:
--
文献类型:
--
作者:
M. Wagner

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在本文中,弹性/超弹性图像配准问题被视为Dieudonné-Rashevsky类型的多维控制问题。对于其数值求解,我们描述了一种基于离散化方法和大规模优化技术的直接方法。将介绍和讨论选定的数值结果。通过最优控制方法获得的结果的质量与通过标准变分方法获得的结果的质量相当。
In the present paper, the the elastic/hyperelastic image registration problem is treated as a multidimensional control problem of Dieudonné-Rashevsky type. For its numerical solution, we describe a direct method based on discretization methods and large-scale optimization techniques. Selected numerical results will be presented and discussed. The quality of the results obtained with the optimal control method competes well with those generated from a standard variational method.
论Monge--Kantorovich问题在图像配准中的应用
DOI: 10.1137/080721522
发表时间: 2009
期刊: SIAM J. Imaging Sci.
影响因子: --
作者:
F. O. Museyko;M. Stiglmayr;K. Klamroth;G. Leugering
通讯作者: G. Leugering