Title of article
Interpolation with quintic Powell–Sabin splines
Author/Authors
Speleers، نويسنده , , Hendrik، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
16
From page
620
To page
635
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
Serial Year
2012
Journal title
Applied Numerical Mathematics
Record number
1529847
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