Previous |  Up |  Next


Title: An algorithm for biparabolic spline (English)
Author: Kobza, Jiří
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 32
Issue: 5
Year: 1987
Pages: 401-413
Summary lang: English
Summary lang: Russian
Summary lang: Czech
Category: math
Summary: The paper deals with the computation of suitably chosen parameters of a biparabolic spline (ot the tensor product type) on a rectangular domain. Some possibilities of choosing such local parameters (concentrated, dispersed parameters) are discussed. The algorithms for computation of dispersed parameters (using the first derivative representation) and concentraced parameters (using the second derivative representation) are given. Both these algorithms repeatedly use the one-dimensional algorithms. (English)
Keyword: surface approximations
Keyword: two-dimensional parabolic interpolation spline
Keyword: interpolation biparabolic spline
Keyword: local parameters
Keyword: parabolic spline algorithms
MSC: 41A15
MSC: 41A63
MSC: 65D05
MSC: 65D07
idZBL: Zbl 0635.65006
idMR: MR0909546
DOI: 10.21136/AM.1987.104270
Date available: 2008-05-20T18:33:10Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] C. de Boor: A practical guide to splines.Springer, N. Y. 1978. Zbl 0406.41003, MR 0507062
Reference: [2] J. Kobza: On algorithms for parabolic splines.Acta UPO, FRN, Vol. 88, Math. XXVI (to appear) Zbl 0693.65005, MR 1033338
Reference: [3] J. Kobza: Evaluation and mapping of parabolic interpolating spline.(Czech). Knižnica algoritmov, IX. diel, str. 51-58; JSMF Bratislava 1987.
Reference: [4] В. Л. Макаров В. В. Хлобыстов: Сплайн-аппроксимация функций.Москва, Наука 1983. Zbl 1229.47001
Reference: [5] С. Б. Стечкин И. H. Субботин: Сплайны в вычислительной математике.Москва, Наука 1976. Zbl 1226.05083
Reference: [6] M. Schultz: Spline analysis.Prentice-Hall, N. J. 1973. Zbl 0333.41009, MR 0362832
Reference: [7] Ю. С. Завялое Б. И. Квасов В. Л. Мирошниченко: Методы сплайн-функций.Москва, Наука 1980. Zbl 1229.60003


Files Size Format View
AplMat_32-1987-5_6.pdf 1.820Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo