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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2009, Vol. 10 Issue (4): 570-576    DOI: 10.1631/jzus.A0820819
Computer-aided Geometric Design     
NURBS curve blending using extension
Yong-jin LIU, Rong-qi QIU, Xiao-hui LIANG
Tsinghua National Lab for Information Science and Technology, Tsinghua University, Beijing 100084, China; State Key Lab of Virtual Reality Technology and Systems, Beihang University, Beijing 100191, China
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Abstract  Curve and surface blending is an important operation in CAD systems, in which a non-uniform rational B-spline (NURBS) has been used as the de facto standard. In local corner blending, two curves intersecting at that corner are first made disjoint, and then the third blending curve is added-in to smoothly join the two curves with G1- or G2-continuity. In this paper we present a study to solve the joint problem based on curve extension. The following nice properties of this extension algorithm are exploited in depth: (1) The parameterization of the original shapes does not change; (2) No additional fragments are created. Various examples are presented to demonstrate that our solution is simple and efficient.

Key wordsCurve blending      Curve fairing      Curve extension      Non-uniform rational B-spline (NURBS)     
Received: 26 November 2008     
CLC:  TN391.72  
Cite this article:

Yong-jin LIU, Rong-qi QIU, Xiao-hui LIANG. NURBS curve blending using extension. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2009, 10(4): 570-576.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A0820819     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2009/V10/I4/570

[1] WANG Yuan-jun, CAO Yuan. Generalized fairing algorithm of parametric cubic splines[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(9 ): 16-.