The Research of NURBS Curve Interpolation Algorithm Based on Parabolic and the First-Order Taylor Expansion Interpolation Algorithm

Zhi Qiang Zhang; Wen Jin Wang; Jing Zhang; Jian Zhao; Li Ying Sun; Jian Jun Li; Ling Li Zhang

doi:10.4028/www.scientific.net/AMR.1003.260

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1003The Research of NURBS Curve Interpolation...

The Research of NURBS Curve Interpolation Algorithm Based on Parabolic and the First-Order Taylor Expansion Interpolation Algorithm

Abstract:

The NURBS curve interpolation algorithm based on parabolic interpolation error and the first-order Taylor expansion interpolation algorithm is proposed to improve part surface quality and chord error of NURBS curve interpolation algorithm. The part surface quality is improved effectively by the parabolic interpolation algorithm in the conduction that the previous point, the current point and the next point which was computed by the first order Taylor expansion interpolation algorithm were known. The effectiveness of this algorithm is proved by the NURBS curve interpolation simulation.

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Periodical:

Advanced Materials Research (Volume 1003)

Pages:

260-263

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1003.260

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Online since:

July 2014

Authors:

Zhi Qiang Zhang*, Wen Jin Wang, Jing Zhang, Jian Zhao, Li Ying Sun, Jian Jun Li, Ling Li Zhang

Keywords:

Chord Error, Interpolation Algorithm, NURBS Curve, Parabolic

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