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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2006, Vol. 7 Issue (6 ): 23-    DOI: 10.1631/jzus.2006.A1084
    
Symmetric alteration of four knots of B-spline and NURBS surfaces
LI Ya-juan, WANG Guo-zhao
Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China
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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     
Received: 02 December 2005     
CLC:  TP391.72  
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LI Ya-juan
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LI Ya-juan, WANG Guo-zhao. Symmetric alteration of four knots of B-spline and NURBS surfaces. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(6 ): 23-.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.A1084     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2006/V7/I6 /23

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