Interpolation with quintic Powell-Sabin splines

摘要

We discuss local Hermite interpolation by C~2 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.