Title of article :
Interpolation with quintic Powell–Sabin splines
Author/Authors :
Speleers، نويسنده , , Hendrik، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Abstract :
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–Bézier form and to simplify their manipulation.
Keywords :
Normalized B-spline representation , Quintic Powell–Sabin splines , Hermite interpolation , C 2 macro-elements
Journal title :
Applied Numerical Mathematics
Journal title :
Applied Numerical Mathematics