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 Bézier 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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CLC number: TP361
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
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