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CLC number: TP391.72
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Received: 2005-12-02
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Symmetric alteration of four knots of B-spline and NURBS surfaces
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LI Ya-juan, WANG Guo-zhao. Symmetric alteration of four knots of B-spline and NURBS surfaces[J]. Journal of Zhejiang University Science A, 2006, 7(6): 1084-1087.
@article{title="Symmetric alteration of four knots of B-spline and NURBS surfaces",
author="LI Ya-juan, WANG Guo-zhao",
journal="Journal of Zhejiang University Science A",
volume="7",
number="6",
pages="1084-1087",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A1084"
}
%0 Journal Article
%T Symmetric alteration of four knots of B-spline and NURBS surfaces
%A LI Ya-juan
%A WANG Guo-zhao
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 6
%P 1084-1087
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1084
TY - JOUR
T1 - Symmetric alteration of four knots of B-spline and NURBS surfaces
A1 - LI Ya-juan
A1 - WANG Guo-zhao
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 6
SP - 1084
EP - 1087
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A1084
Abstract: Modifying the knots of a B-spline curve, the shape of the curve will be changed. In this paper, we present the effect of the symmetric alteration of four knots of the B-spline and the NURBS surfaces, i.e., symmetrical alteration of the knots of surface, the extended paths of points of the surface will converge to a point which should be expressed with several control points. This theory can be used in the constrained shape modification of B-spline and NURBS surfaces.
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[8] Li, Y., Wang, G., 2006. Constrained shape modification of cubic NURBS curve based on knots and weights. Applied Mathematics—A Journal of Chinese Universities, 21(1):118-124 (in Chinese).
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