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Range restricted interpolation using Gregory's rational cubic splines

✍ Scribed by Marion Bastian-Walther; Jochen W. Schmidt


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
736 KB
Volume
103
Category
Article
ISSN
0377-0427

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✦ Synopsis


The construction of range restricted univariate and bivariate interpolants to gridded data is considered. We apply Gregory's rational cubic C 1 splines as well as related rational quintic C 2 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. (~) 1999 Elsevier Science B.V. All rights reserved.