A novel on Newton-Rapson iterative interpolation algorithm for NURBS curve

DOI

10.2991/meita-16.2017.45How to use a DOI?

Keywords

NURBS curve,Newton-Rapson iterative, interpolation algorithm

Abstract

Linear or cicular interpolator are undersirable for high-speed, precision and advanced CNC machining tools of 2D or 3D surfaces for the following reasons: interpolation time bigger, calculation more complicated, and curve chord are changed. In the papers ,the Newton-Rapson iterative interpolation algorithm for NURBS curve is introduced. We can use Newton-Rapson iterative that calculate ( i, i, i) x y z . Simulation results show that the proposed NURBS curve interpolator meet the high-speed and high-accuracy interpolation requirements of CNC systems. The interpolation of NURBS curve should be finished. The simulation results show that the algorithm is correct; it is consistent with a NURBS curve interpolation requirements.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Wanjun Zhang
AU  - Dongmei Xu
AU  - Xinhong Meng
AU  - Feng Zhang
PY  - 2017/02
DA  - 2017/02
TI  - A novel on Newton-Rapson iterative interpolation algorithm for NURBS curve
BT  - Proceedings of the 2016 2nd International Conference on Materials Engineering and Information Technology Applications (MEITA 2016)
PB  - Atlantis Press
SP  - 215
EP  - 220
SN  - 2352-5401
UR  - https://doi.org/10.2991/meita-16.2017.45
DO  - 10.2991/meita-16.2017.45
ID  - Zhang2017/02
ER  -