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CLC number: TP391.72
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2017-12-20
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Optimal multi-degree reduction of C-Bézier surfaces with constraints
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Lian Zhou, Xin-hui Lin, Hong-yan Zhao, Jun Chen. Optimal multi-degree reduction of C-Bézier surfaces with constraints[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(12): 2009-2016.
@article{title="Optimal multi-degree reduction of C-Bézier surfaces with constraints",
author="Lian Zhou, Xin-hui Lin, Hong-yan Zhao, Jun Chen",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="18",
number="12",
pages="2009-2016",
year="2017",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1700458"
}
%0 Journal Article
%T Optimal multi-degree reduction of C-Bézier surfaces with constraints
%A Lian Zhou
%A Xin-hui Lin
%A Hong-yan Zhao
%A Jun Chen
%J Frontiers of Information Technology & Electronic Engineering
%V 18
%N 12
%P 2009-2016
%@ 2095-9184
%D 2017
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1700458
TY - JOUR
T1 - Optimal multi-degree reduction of C-Bézier surfaces with constraints
A1 - Lian Zhou
A1 - Xin-hui Lin
A1 - Hong-yan Zhao
A1 - Jun Chen
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 18
IS - 12
SP - 2009
EP - 2016
%@ 2095-9184
Y1 - 2017
PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.1700458
Abstract: We propose an optimal approach to solve the problem of multi-degree reduction of c-Bé;zier surfaces in the norm L2 with prescribed constraints. The control points of the degree-reduced c-Bé;zier surfaces can be explicitly obtained by using a matrix operation that is based on the transfer matrix of the c-Bé;zier basis. With prescribed boundary constraints, this method can be applied to piecewise continuous patches or to a single patch with the combination of surface subdivision. The resulting piecewise approximating patches are globally G1 continuous. Finally, numerical examples are presented to show the effectiveness of the method.
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