Fast and precision NURBS interpolator for CNC systems

作者：Baek Dae Kyun; Ko Tae Jo; Yang Seung Han^*

来源：International Journal of Precision Engineering and Manufacturing, 2012, 13(6): 955-961.

DOI：10.1007/s12541-012-0124-1

• CNC controller
• NURBS interpolation
• Parameter update
• Parametric curve

This paper presents a performance evaluation of a NURBS interpolator that uses not Taylor%26apos;s expansion method but the recursive characteristics of NURBS. Taylor%26apos;s expansion has mostly been used for NURBS interpolation. However, it is very complicated and gives an indispensable truncation error. A fast and precision NURBS interpolator replacing Taylor%26apos;s expansion is presented for CNC systems in robots and CNC machine tools. The presented interpolation algorithm uses the recursive equation of the NURBS formula rather than Taylor%26apos;s expansion. A simulation study is conducted to demonstrate the advantages of this proposed interpolator compared with those using Taylor%26apos;s equation. The feedrate error and calculation time are simulated in the performance evaluation. The recursive method of NURBS interpolation is faster and more accurate than Taylor%26apos;s expansion.

• 出版日期2012-6