TITLE:
Calculation of Space NURBS Curve Interpolation Error
AUTHORS:
Liangji Chen, Fei Gao, Bo Zhao, Longfei Ma
KEYWORDS:
Computer-Aided Design, NURBS Interpolation Curve, Interpolation Error, Approximation Solution
JOURNAL NAME:
Journal of Computer and Communications,
Vol.8 No.6,
June
8,
2020
ABSTRACT: Aiming at the problem of low accuracy of interpolation error calculation of existing NURBS curves, an approximate method for the distance between a point and a NURBS interpolation curve is proposed while satisfying the accuracy of the solution. Firstly, the minimum parameter interval of the node vector corresponding to the data point under test in the original data point sequence is determined, and the parameter interval is subdivided according to the corresponding step size, and the corresponding parameter value is obtained. Secondly, the distance from the measured point to the NURBS curve is calculated, and the nearest distance is found out. The node interval is subdivided again on one side of the nearest distance. Finally, the distance between the data point to be measured and each subdivision point is calculated again, and the minimum distance is taken as the interpolation error between the point and the NURBS curve. The simulation results of actual tool position data show that this method can more accurately obtain the error of spatial NURBS interpolation curve.