Year: 2000
Author: Yin-Wei Zhan
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 4 : pp. 403–412
Abstract
In this paper we present a $C^1$ interpolation scheme on a triangle. The interpolant assumes given values and one order derivatives at the vertices of the triangle. It is made up of partial interpolants blended with corresponding weight functions. Any partial interpolant is a piecewise cubics defined on a split of the triangle, while the weight function is just the respective barycentric coordinate. Hence the interpolant can be regarded as a piecewise quartic. We device a simple algorithm for the evaluation of the interpolant. It's easy to represent the interpolant with B-net method. We also depict the Franke's function and its interpolant, the illustration of which shows good visual effect of the scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JCM-9052
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 4 : pp. 403–412
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Spline interpolation scheme partial interpolants barycentric coordinates splits B-net.