| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1709338 | Applied Mathematics Letters | 2008 | 8 Pages |
Abstract
A mathematical problem arising from data set alignment is studied. For two given real-valued functions defined on two (2D or 3D) domains, separately, find a transformation between the two domains that optimizes a similarity functional between the functions. Our approach is based on optimal control with PDE (partial differential equation) constraints. Numerical examples are provided to demonstrate the effectiveness of the method.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Guojun G. Liao, Xianxin Cai, Dion Fleitas, Xiaonan Luo, Jianmin Wang, Jiaxing Xue,