Gregory’s Rational Cubic Splines in Interpolation Subject to Derivative Obstacles

Author:

Bastian-Walther Marion,Schmidt Jochen W.

Publisher

Birkhäuser Basel

Reference14 articles.

1. L.-E. Andersson and T. Elfving, Best constrained approximation in Hilbert space and interpolation by cubic splines subject to obstacles, SIAM J. Sci. Comput., 16 (1995), 1209–1232.

2. M. Bastian-Walther and J. W. Schmidt, Range restricted interpolation using Gregory’s rational cubic splines, J. Comp. Appl. Math., to appear.

3. M. Bastian-Walther and J. W. Schmidt, Shape preserving interpolation by tensor product splines on refined grids, In H. Nowacki and P. D. Kaklis, editors, Creating Fair and Shape-Preserving Curves and Surfaces, Teubner Verlag, Stuttgart.Leipzig, 1998, 201–217.

4. R. Delbourgo and J. A. Gregory, Shape preserving piecewise rational interpolation, SIAM J. Sci. Statist. Comput., 6 (1985), 967–976.

5. J. A. Gregory, Shape preserving spline interpolation, Computer-aided design, 18 (1986), 53–57.

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