منابع مشابه
Cardinal Hermite Spline Interpolation with Shifted Nodes
Generalized cardinal Hermite spline interpolation is considered. A special case of this problem is the classical cardinal Hermite spline interpolation with shifted nodes. By means of a corresponding symbol new representations of the cardinal Hermite fundamental splines can be given. Furthermore, a new efficient algorithm for the computation of the cardinal Hermite spline interpolant is obtained...
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The problem of semi-cardinal spline interpolation was solved by Schoenberg exploiting the piecewise polynomial form of the splines. In the present paper, we propose a new construction for the Lagrange functions of semi-cardinal spline interpolation , based on a radial basis and Fourier transform approach. This approach suggests a way of extending semi-cardinal interpolation to polyharmonic spli...
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A new method for modeling functions that intersect given points is developed and demonstrated. This method yields a generally non-Gaussian probability density of y given x that has properties which are often desired in practice. It is shown that this density can have a smoother mean function and a variance which is never larger than that of a classic Gaussian process density.
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A computationally fast and optimally smooth method for generating a probability density of y given x that models given data points is described and illustrated. This method interpolates in that the mean function intersects the points and the variance function is zero at the points. It is fast and optimal in that it is produced by the smallest number of maximally-smooth Gaussian radial interpola...
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The present paper is the reference [8] in the monograph [15], which was planned but not yet written when [15] appeared. The paper is divided into four parts called A, B, C, and D. We aim here at three or four different results. The unifying link between them is that they all involve the sign structure of what one might call a “Green’s spline”, i.e., a function which consists of two null–splines...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1990
ISSN: 0021-9045
DOI: 10.1016/0021-9045(90)90050-z