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CLC number: TN391.72
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2009-02-16
Cited: 4
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NURBS curve blending using extension
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Yong-jin LIU, Rong-qi QIU, Xiao-hui LIANG. NURBS curve blending using extension[J]. Journal of Zhejiang University Science A, 2009, 10(4): 570-576.
@article{title="NURBS curve blending using extension",
author="Yong-jin LIU, Rong-qi QIU, Xiao-hui LIANG",
journal="Journal of Zhejiang University Science A",
volume="10",
number="4",
pages="570-576",
year="2009",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820819"
}
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%A Yong-jin LIU
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%A Xiao-hui LIANG
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%DOI 10.1631/jzus.A0820819
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T1 - NURBS curve blending using extension
A1 - Yong-jin LIU
A1 - Rong-qi QIU
A1 - Xiao-hui LIANG
J0 - Journal of Zhejiang University Science A
VL - 10
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SP - 570
EP - 576
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820819
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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