We discuss local Hermite interpolation by quintic Powell-Sabin splines represented in a normalized B-spline basis. We derive explicit formulae for the spline coefficients in this B-spline representation to interpolate given Hermite data. As part of the analysis, we show how tensor algebra can be used to describe polynomials in Bernstein-Bezier form and to simplify their manipulation.
Speleers, H. (2012). Interpolation with quintic Powell-Sabin splines. APPLIED NUMERICAL MATHEMATICS, 62(5), 620-635 [10.1016/j.apnum.2012.01.008].
Interpolation with quintic Powell-Sabin splines
Speleers H.
2012-05-01
Abstract
We discuss local Hermite interpolation by quintic Powell-Sabin splines represented in a normalized B-spline basis. We derive explicit formulae for the spline coefficients in this B-spline representation to interpolate given Hermite data. As part of the analysis, we show how tensor algebra can be used to describe polynomials in Bernstein-Bezier form and to simplify their manipulation.File in questo prodotto:
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