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A quintic polynomial spline with local shape parameters unifying approximation and interpolation

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  • Li, Juncheng
  • Liu, Chengzhi

Abstract

Approximation, interpolation and shape adjustment are three fundamental techniques for parametric spline modeling. This paper introduces a quintic polynomial spline that unifies these three approaches. The proposed spline reaches C² continuity and has local shape adjustability, whether used for approximation, interpolation, or a hybrid of both. These features endow the proposed spline with clear advantages over some existing similar splines in geometric modeling.

Suggested Citation

  • Li, Juncheng & Liu, Chengzhi, 2026. "A quintic polynomial spline with local shape parameters unifying approximation and interpolation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 241(PA), pages 582-590.
    • Handle: RePEc:eee:matcom:v:241:y:2026:i:pa:p:582-590
    DOI: 10.1016/j.matcom.2025.09.026
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