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CLC number: TP361
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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A class of quasi Bézier curves based on hyperbolic polynomials
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SHEN Wan-qiang, WANG Guo-zhao. A class of quasi Bézier curves based on hyperbolic polynomials[J]. Journal of Zhejiang University Science A, 2005, 6(100): 116-123.
@article{title="A class of quasi Bézier curves based on hyperbolic polynomials",
author="SHEN Wan-qiang, WANG Guo-zhao",
journal="Journal of Zhejiang University Science A",
volume="6",
number="100",
pages="116-123",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.AS0116"
}
%0 Journal Article
%T A class of quasi Bézier curves based on hyperbolic polynomials
%A SHEN Wan-qiang
%A WANG Guo-zhao
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 100
%P 116-123
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.AS0116
TY - JOUR
T1 - A class of quasi Bézier curves based on hyperbolic polynomials
A1 - SHEN Wan-qiang
A1 - WANG Guo-zhao
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 100
SP - 116
EP - 123
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.AS0116
Abstract: This paper presents a basis for the space of hyperbolic polynomials Γm=span{1, sht, cht, sh2t, ch2t, …, shmt, chmt} on the interval [0,α] from an extended Tchebyshev system, which is analogous to the bernstein basis for the space of polynomial used as a kind of well-known tool for free-form curves and surfaces in Computer Aided Geometry Design. Then from this basis, we construct quasi bé;zier curves and discuss some of their properties. At last, we give an example and extend the range of the parameter variable t to arbitrary close interval [r, s] (r<s).
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