Computation of interpolatory splines via triadic subdivision

Valery A. Zheludev, Amir Z. Averbuch

Research output: Contribution to journalArticlepeer-review


We present an algorithm for the computation of interpolatory splines of arbitrary order at triadic rational points. The algorithm is based on triadic subdivision of splines. Explicit expressions for the subdivision symbols are established. These are rational functions. The computations are implemented by recursive filtering.

Original languageEnglish
Pages (from-to)63-72
Number of pages10
JournalAdvances in Computational Mathematics
Issue number1
StatePublished - Jan 2010


  • Splines
  • Triadic subdivision


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