Research and Application on NURBS Curve Inverse Algorithm

Yu Gang Zhao; Tian Ci Cai; Zhan Jun Wang; Xin Yu Liu

doi:10.4028/www.scientific.net/AMM.532.253

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 532Research and Application on NURBS Curve Inverse...

Research and Application on NURBS Curve Inverse Algorithm

Abstract:

Firstly, based on the Cox-de Boor recursive formula, random degree NURBS curve generation algorithm is given. Then, this article discusses knot vector, the weight factor's influence on NURBS and presents the determination method of knot vector and weight factor. Secondly, NURBS curve inverse algorithm is studied and the focus is on cubic NURBS curve inverse algorithm, which is widely applied in engineering. Finally, based on C++ Builder development environment, the paper completes algorithm simulation and gives the specific application examples. Examples verify the efficiency and reliability of the algorithms, which has a high practical value in the CAD/CAM.

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Periodical:

Applied Mechanics and Materials (Volume 532)

Pages:

253-258

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.532.253

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Online since:

February 2014

Authors:

Yu Gang Zhao, Tian Ci Cai, Zhan Jun Wang, Xin Yu Liu

Keywords:

CAD/CAM, Cubic, Inverse Algorithm, NURBS, Random Degree

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