Study on the algorithm for Newton-Rapson iteration interpolation of NURBS curve and simulation

In order to solve the problems of Newton-Rapson iteration interpolation method of NURBS Curve, Such as interpolation time bigger, calculation more complicated, and NURBS curve step error are not easy changed and so on. This paper proposed a study on the algorithm for Newton-Rapson iteration interpol...

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Bibliographic Details
Main Authors: Zhang, Wanjun, Gao, Shanping, Cheng, Xiyan, Zhang, Feng
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Computer simulation
Interpolation
Mathematical analysis
Numerical controls
Simulation
Online Access:Get full text
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Summary:In order to solve the problems of Newton-Rapson iteration interpolation method of NURBS Curve, Such as interpolation time bigger, calculation more complicated, and NURBS curve step error are not easy changed and so on. This paper proposed a study on the algorithm for Newton-Rapson iteration interpolation method of NURBS curve and simulation. We can use Newton-Rapson iterative that calculate (x i , y i , z i ). 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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4981607