Optimal control approach to data set alignment
2
Nanhua Powerplant Institute, Zhuzhou, China
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3
Dallas Baptist University, Dallas, USA
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4
Publication type: Journal Article
Publication date: 2008-09-01
scimago Q1
wos Q1
SJR: 0.987
CiteScore: 6.6
Impact factor: 2.8
ISSN: 08939659, 18735452
Applied Mathematics
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.
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Total citations:
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Citations from 2024:
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GOST
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Liao G. G. et al. Optimal control approach to data set alignment // Applied Mathematics Letters. 2008. Vol. 21. No. 9. pp. 898-905.
GOST all authors (up to 50)
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Liao G. G., Cai X., Fleitas D., Luo X., Wang J., Xue J. Optimal control approach to data set alignment // Applied Mathematics Letters. 2008. Vol. 21. No. 9. pp. 898-905.
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RIS
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TY - JOUR
DO - 10.1016/j.aml.2007.09.011
UR - https://doi.org/10.1016/j.aml.2007.09.011
TI - Optimal control approach to data set alignment
T2 - Applied Mathematics Letters
AU - Liao, Guojun G
AU - Cai, Xianxin
AU - Fleitas, Dion
AU - Luo, Xiaonan
AU - Wang, Jianmin
AU - Xue, Jiaxing
PY - 2008
DA - 2008/09/01
PB - Elsevier
SP - 898-905
IS - 9
VL - 21
SN - 0893-9659
SN - 1873-5452
ER -
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BibTex (up to 50 authors)
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@article{2008_Liao,
author = {Guojun G Liao and Xianxin Cai and Dion Fleitas and Xiaonan Luo and Jianmin Wang and Jiaxing Xue},
title = {Optimal control approach to data set alignment},
journal = {Applied Mathematics Letters},
year = {2008},
volume = {21},
publisher = {Elsevier},
month = {sep},
url = {https://doi.org/10.1016/j.aml.2007.09.011},
number = {9},
pages = {898--905},
doi = {10.1016/j.aml.2007.09.011}
}
Cite this
MLA
Copy
Liao, Guojun G., et al. “Optimal control approach to data set alignment.” Applied Mathematics Letters, vol. 21, no. 9, Sep. 2008, pp. 898-905. https://doi.org/10.1016/j.aml.2007.09.011.