Speedup of Bicubic Spline Interpolation

  • Viliam Kačala
  • Csaba Török
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10861)


The paper seeks to introduce a new algorithm for computation of interpolating spline surfaces over non-uniform grids with \(C^2\) class continuity, generalizing a recently proposed approach for uniform grids originally based on a special approximation property between biquartic and bicubic polynomials. The algorithm breaks down the classical de Boor’s computational task to systems of equations with reduced size and simple remainder explicit formulas. It is shown that the original algorithm and the new one are numerically equivalent and the latter is up to 50% faster than the classic approach.


Bicubic spline Hermite spline Spline interpolation Speedup Tridiagonal systems 



This work was partially supported by projects Technicom ITMS 26220220182 and APVV-15-0091 Effective algorithms, automata and data structures.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.P. J. Šafárik University in KošiceKošiceSlovakia

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