Title of article
Range restricted interpolation using Gregoryʹs rational cubic splines
Author/Authors
Bastian-Walther، نويسنده , , Marion S. Schmidt-Zachmann، نويسنده , , Jochen W.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
17
From page
221
To page
237
Abstract
The construction of range restricted univariate and bivariate interpolants to gridded data is considered. We apply Gregoryʹs rational cubic C1 splines as well as related rational quintic C2 splines. Assume that the lower and upper obstacles are compatible with the data set. Then the tension parameters occurring in the mentioned spline classes can be always determined in such a way that range restricted interpolation is successful.
Keywords
Interpolation subject to piecewise linear obstacles , Gregoryיs splines and corresponding tensor products , Solvability bounds to the tension parameters , Existence and construction of spline solutions
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1999
Journal title
Journal of Computational and Applied Mathematics
Record number
1549734
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