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NURBS interpolation based on exponential smoothing forecasting

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Abstract

To meet the requirement of exploring a new generation of CNC systems based on STEP-NC, NURBS interpolation has been studied. In contrast to existing NURBS interpolation based on the Taylor’s expansion, this paper proposes a new method for NURBS interpolation which is based on exponential smoothing forecasting. The new method is very simple; it decreases the computational load observably, and speed and precision control are also achieved. This paper presents relative formulas and main computational processes, including speed and precision control, computation of real-time mapping, computation of real-time track, etc. The simulation results indicate that the method is feasible and has high-precision and better real-time performance, which is sufficient for the STEP-NC system.

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Correspondence to Wang Guanjun.

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Kai, Z., Guanjun, W., Houzhong, J. et al. NURBS interpolation based on exponential smoothing forecasting. Int J Adv Manuf Technol 39, 1190–1196 (2008). https://doi.org/10.1007/s00170-007-1297-0

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  • DOI: https://doi.org/10.1007/s00170-007-1297-0

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