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Positive interpolation with rational splines

Journal	BIT Numerical Mathematics
Publisher	Springer Netherlands
ISSN	0006-3835 (Print) 1572-9125 (Online)
Issue	Volume 29, Number 1 / March, 1989
Category	Part II Numerical Mathematics
DOI	10.1007/BF01932711
Pages	140-147
Subject Collection	Mathematics and Statistics
SpringerLink Date	Tuesday, July 26, 2005

Positive interpolation with rational splines

M. Sakai^{1, 2} and J. W. Schmidt^{1, 2}

(1)	Department of Mathematics, Faculty of Science, Kagoshima University, 890 Kagoshima, Japan

(2)	Department of Mathematics, Technical University of Dresden, Mommsenstrasse 13, DDR-8027 Dresden, German Democratic Republic

Received: 15 September 1987 Revised: 15 April 1988

Abstract A method is presented for the construction of positive rational splines of continuity classC ².

Subject classification AMS(MOS) 65D07 - 41A15

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Referenced by

4 newer articles

Martin, R. (2000) Hyperbolic splines and nonlinear distortion. IEEE Transactions on Signal Processing 48(6)
[CrossRef]
Mulansky, B. (1994) Powell-Sabin splines in range restricted interpolation of scattered data. Computing 53(2)
[CrossRef]
Schmidt, J. W. (1990) A criterion for the positivity of rational cubicC 2-spline interpolants. Computing 44(4)
[CrossRef]
Sakai, M. (1996) On fair parametric rational cubic curves. Bit Numerical Mathematics 36(2)
[CrossRef]

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