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We continue an earlier study of certain spaces that provide a variational framework for multivariate interpolation. Using the… (More)
Shepard developed a scheme for interpolation to arbitrarily spaced discrete bivariate data. This scheme provides an explicit… (More)
We consider the weight assignment problem for multivariate interpolation-based decoding. The resulting optimization problem is… (More)
- Journal of Approximation Theory
Suppose u is a function on a domain inRn all of whosemth order distributional derivatives are inLp( ) and m is sufficiently large… (More)
In many cases, multivariate interpolation by smooth radial basis functions converges towards polynomial interpolants, when the… (More)
Regularized Spline with Tension (RST) is an accurate, flexible and efficient method for multivariate interpolation of scattered… (More)
- IEEE Trans. Computers
We present a new multivariate interpolation algorithm over arbitrary fields which is primarily suited for small finite fields… (More)
- ACM Trans. Math. Softw.
This paper presents a method of constructing a smooth function of two or more variables that interpolates data values at… (More)
This note may be regarded as a complement to a paper of H. Werner  who has carried over Newton's classical interpolation… (More)
In this paper the construction of the Newton interpolation is carried over to several variables in case the interpolation points… (More)