Yong-Jin Liu

Yong-Jin Liu

Yong-Jin Liu is a tenured Full Professor with the Computer Science Department at Tsinghua University. He obtained his Ph.D. degree in 2004 from Hong Kong University of Science & Technology. His research interests include computational geometry, computer graphics, computer aided design and pattern analysis.

NURBS curve blending using extension

Published in Journal of Zhejiang University SCIENCE A, 2009

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.

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Recommended citation: #Yong-Jin Liu, Rong-Qi Qiu, Xiao-Hui Liang (2009) NURBS curve blending using extension. Journal of Zhejiang University SCIENCE A, Vol. 10, No. 4, pp.570-576, 2009.