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Approximation learning methods of harmonic mappings in relation to Hardy spaces
Liu, Zhulin; Chen, C.L. Philip
2016-10-07
Conference Name3rd International Conference on Informative and Cybernetics for Computational Social Systems, ICCSS 2016
Source Publication2016 3rd International Conference on Informative and Cybernetics for Computational Social Systems, ICCSS 2016
Pages47-51
Conference Date8 26, 2016 - 8 29, 2016
Conference PlaceJinzhou, Liaoning, China
Author of SourceInstitute of Electrical and Electronics Engineers Inc.
AbstractA new Hardy space Hardy space approach of Dirichlet type problem based on Tikhonov regularization and Reproducing Hilbert kernel space is discussed in this paper, which turns out to be a typical extremal problem located on the upper upper-high complex plane. If considering this in the Hardy space, the optimization operator of this problem will be highly simplified and an efficient algorithm is possible. This is mainly realized by the help of reproducing properties of the functions in the Hardy space of upper-high complex plane, and the detail algorithm is proposed. Moreover, harmonic mappings, which is a significant geometric transformation, are commonly used in many applications such as image processing, since it describes the energy minimization mappings between individual manifolds. Particularly, when we focus on the planer mappings between two Euclid planer regions, the harmonic mappings are exist and unique, which is guaranteed solidly by the existence of harmonic function. This property is attractive and simulation results are shown in this paper to ensure the capability of applications such as planer shape distortion and surface registration. © 2016 IEEE.
DOI10.1109/ICCSS.2016.7586421
Language英语
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Document TypeConference paper
CollectionUniversity of Macau
AffiliationUniversity of Macau, Faculty of Science and Technology, Taipa, China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Liu, Zhulin,Chen, C.L. Philip. Approximation learning methods of harmonic mappings in relation to Hardy spaces[C]//Institute of Electrical and Electronics Engineers Inc.,2016:47-51.
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