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CLC number: TP391.72
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Received: 2007-09-15
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Paths of algebraic hyperbolic curves
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Ya-juan LI, Li-zheng LU, Guo-zhao WANG. Paths of algebraic hyperbolic curves[J]. Journal of Zhejiang University Science A, 2008, 9(6): 816-821.
@article{title="Paths of algebraic hyperbolic curves",
author="Ya-juan LI, Li-zheng LU, Guo-zhao WANG",
journal="Journal of Zhejiang University Science A",
volume="9",
number="6",
pages="816-821",
year="2008",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A071490"
}
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%A Li-zheng LU
%A Guo-zhao WANG
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A071490
TY - JOUR
T1 - Paths of algebraic hyperbolic curves
A1 - Ya-juan LI
A1 - Li-zheng LU
A1 - Guo-zhao WANG
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 6
SP - 816
EP - 821
%@ 1673-565X
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A071490
Abstract: Cubic algebraic hyperbolic (AH) Bé;zier curves and AH spline curves are defined with a positive parameter α in the space spanned by {1, t, sinht, cosht}. Modifying the value of α yields a family of AH Bézier or spline curves with the family parameter α. For a fixed point on the original curve, it will move on a defined curve called “path of AH curve” (AH Bézier and AH spline curves) when α changes. We describe the geometric effects of the paths and give a method to specify a curve passing through a given point.
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