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Journal of Zhejiang University SCIENCE A
ISSN 1673-565X(Print), 1862-1775(Online), Monthly
2006 Vol.7 No.6 P.1084-1087
Symmetric alteration of four knots of B-spline and NURBS surfaces
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.
Key words: B-spline surface, NURBS surface, Knot modification, Path
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DOI:
10.1631/jzus.2006.A1084
CLC number:
TP391.72
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Received:
2005-12-02
Revision Accepted:
2006-02-13
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