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

نویسندگان

چکیده

Multi-degree Tchebycheffian splines are with pieces drawn from extended (complete) Tchebycheff spaces, which may differ interval to interval, and possibly of different dimensions. These a natural extension multi-degree polynomial splines. Under quite mild assumptions, they can be represented in terms so-called B-spline (MDTB-spline) basis; such basis possesses all the characterizing properties classical basis. We present practical framework compute MDTB-splines, provide an object-oriented implementation Matlab . The supports construction, differentiation, visualization MDTB-splines whose belong spaces that null-spaces constant-coefficient linear differential operators. construction relies on extraction operator maps local Bernstein functions MDTB-spline interest.

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ژورنال

عنوان ژورنال: ACM Transactions on Mathematical Software

سال: 2022

ISSN: ['0098-3500', '1557-7295']

DOI: https://doi.org/10.1145/3478686