Specification of Initial Shapes for Dynamic Implicit Curve/Surface Reconstruction

The dynamic implicit curve/surface reconstruction demands no special requirement on the initial shapes in general. In order to speed up the iteration in the reconstruction, we discuss how to specify the initial shapes so as to reflect the geometric information and the topology structure of the given...

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Published inJournal of computer science and technology Vol. 21; no. 2; pp. 249 - 254
Main Authors Yang, Zhou-Wang, Wu, Chun-Lin, Deng, Jian-Song, Chen, Fa-Lai
Format Journal Article
LanguageEnglish
Published Beijing Springer Nature B.V 01.03.2006
Department of Mathematics, University of Science and Technology of China, Hefei 230026, P.R. China
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Abstract The dynamic implicit curve/surface reconstruction demands no special requirement on the initial shapes in general. In order to speed up the iteration in the reconstruction, we discuss how to specify the initial shapes so as to reflect the geometric information and the topology structure of the given data. The basic idea is based on the combination of the distance function and the generalized eigenvector fitting model.
AbstractList The dynamic implicit curve/surface reconstruction demands no special requirement on the initial shapes in general. In order to speed up the iteration in the reconstruction, we discuss how to specify the initial shapes so as to reflect the geometric information and the topology structure of the given data. The basic idea is based on the combination of the distance function and the generalized eigenvector fitting model.
TP3; The dynamic implicit curve/surface reconstruction demands no special requirement on the initial shapes in general. In order to speed up the iteration in the reconstruction, we discuss how to specify the initial shapes so as to reflect the geometric information and the topology structure of the given data. The basic idea is based on the combination of the distance function and the generalized eigenvector fitting model.
Author Deng, Jian-Song
Yang, Zhou-Wang
Wu, Chun-Lin
Chen, Fa-Lai
AuthorAffiliation Department of Mathematics, University of Science and Technology of China, Hefei 230026, P.R. China
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  surname: Chen
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Cites_doi 10.1090/S0025-5718-04-01678-3
10.1109/34.103273
10.1023/A:1015200504295
10.1016/0146-664X(82)90101-0
10.1080/01621459.1977.10480624
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Keywords Sampson distance
generalized eigenvector fitting
dynamic implicit surface reconstruction
Language English
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P D Sampson (249_CR5) 1982; 18
B Jüttler (249_CR3) 2002; 17
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TP3; The dynamic implicit curve/surface reconstruction demands no special requirement on the initial shapes in general. In order to speed up the iteration in...
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SubjectTerms Computer simulation
Dynamics
Eigenvectors
Fittings
Iterative methods
Mathematical analysis
Mathematical models
Reconstruction
Specifications
Studies
Topology
Title Specification of Initial Shapes for Dynamic Implicit Curve/Surface Reconstruction
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