Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines

  title={Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines},
  author={Hendrik Speleers},
  journal={ACM Transactions on Mathematical Software (TOMS)},
  pages={1 - 31}
  • H. Speleers
  • Published 31 January 2021
  • Mathematics
  • ACM Transactions on Mathematical Software (TOMS)
Multi-degree Tchebycheffian splines are splines with pieces drawn from extended (complete) Tchebycheff spaces, which may differ from interval to interval, and possibly of different dimensions. These are a natural extension of multi-degree polynomial splines. Under quite mild assumptions, they can be represented in terms of a so-called multi-degree Tchebycheffian B-spline (MDTB-spline) basis; such basis possesses all the characterizing properties of the classical polynomial B-spline basis. We… 
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