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CLC number: TP391
On-line Access: 2024-08-27
Received: 2023-10-17
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Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation
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ZHANG Lei, WANG Guo-jin. Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation[J]. Journal of Zhejiang University Science A, 2005, 6(100): 108-115.
@article{title="Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation",
author="ZHANG Lei, WANG Guo-jin",
journal="Journal of Zhejiang University Science A",
volume="6",
number="100",
pages="108-115",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.AS0108"
}
%0 Journal Article
%T Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation
%A ZHANG Lei
%A WANG Guo-jin
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 100
%P 108-115
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.AS0108
TY - JOUR
T1 - Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation
A1 - ZHANG Lei
A1 - WANG Guo-jin
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 100
SP - 108
EP - 115
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.AS0108
Abstract: By introducing the homogenous coordinates, degree elevation formulas and combinatorial identities, also by using multiplication of Bernstein polynomials and identity transformation on equations, this paper presents some explicit formulas of the first and second derivatives of rational triangular Bé;zier surface with respect to each variable (including the mixed derivative) and derives some estimations of bound both on the direction and magnitude of the corresponding derivatives. All the results above have value not only in surface theory but also in practice.
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