Article ID Journal Published Year Pages File Type
4645531 Applied Numerical Mathematics 2012 16 Pages PDF
Abstract

We discuss local Hermite interpolation by C2 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–Bézier form and to simplify their manipulation.

Related Topics
Physical Sciences and Engineering Mathematics Computational Mathematics