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Precision NURBS interpolator based on recursive characteristics of NURBS

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Abstract

In NURBS interpolation, real-time parameter update is an indispensable step which affects not only feedrate fluctuation but also contour error. Using Taylor approximation interpolation method to find the next interpolation point causes a large feedrate fluctuation due to the accumulation and truncation errors. This paper presents a new, simple, and precise NURBS interpolator for CNC systems. The proposed interpolation algorithm does not use Taylor’s expansion, but the recursive equation of the NURBS formula. A simulation study is conducted to demonstrate the advantages of this proposed interpolator compared with those using Taylor’s equation. It is readily seen that this interpolator using the new concept of interpolation for modern CNC systems is simple and precise. The proposed method can be used for interpolating a continuous NURBS curve.

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Authors and Affiliations

  1. Kyungpook National University, Daegu, Republic of Korea

    Dae Kyun Baek & Seung-Han Yang

  2. Yeungnam University, Gyoungsan, Republic of Korea

    Tae Jo Ko

Authors
  1. Dae Kyun Baek
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  2. Seung-Han Yang
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  3. Tae Jo Ko
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Corresponding author

Correspondence to Seung-Han Yang.

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Baek, D.K., Yang, SH. & Ko, T.J. Precision NURBS interpolator based on recursive characteristics of NURBS. Int J Adv Manuf Technol 65, 403–410 (2013). https://doi.org/10.1007/s00170-012-4179-z

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  • DOI: https://doi.org/10.1007/s00170-012-4179-z

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