Computing Offsets of NURBS Curve and Surface

Ying Yue; Jun Jia

doi:10.4028/www.scientific.net/AMR.542-543.537

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 542-543Computing Offsets of NURBS Curve and Surface

Computing Offsets of NURBS Curve and Surface

Abstract:

This paper presents an algorithm for the offsetting of NURBS curve/surface. First the unit normal vectors of the progenitor NURBS curve/surface is computed precisely, then the offset curve/surface can be obtained by offsetting the progenitor curve/surface in the normal vector direction with the required distance. Considerable extra computational time can be saved, especially when they are to be offset by several times. As the method successfully computes the unit normal vector of the progenitors, the offset error of this method is zero. The method can also be generalized to other degree NURBS curve/surface.

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Advanced Materials Research (Volumes 542-543)

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537-540

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.542-543.537

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Online since:

June 2012

Authors:

Ying Yue, Jun Jia

Keywords:

NURBS Curve and Surface, Offsetting, Unit Normal Vector

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