插值和平滑双二次样条

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED Applications of Mathematics Pub Date : 1995-01-01 DOI:10.21136/am.1995.134298

R. Kučera

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引用次数: 0

摘要

本文讨论了双二次样条曲线及其在矩形网格上两变量插值中的应用。说明了如何插值函数值、偏导数值或混合导数值的可能性。进一步，定义了所谓的平滑双二次样条，并描述了其计算算法。所有这些双二次样条都是通过二次样条线性空间的张量积推导出来的它们的基是由所谓的基本样条给出的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Interpolating and smoothing biquadratic spline

The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic splines and their bases are given by the so-called fundamental splines.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.