Showing papers on "Bicubic interpolation published in 1974"
TL;DR: The proposed method is an extension of the method of univariate interpolation developed earlier by the author and is likewise based on local procedures on avoiding excessive undulation between given grid points.
Abstract: A method is designed for interpolating values given at points of a rectangular grid in a plane by a smooth bivariate function z = z(x, y). The interpolating function is a bicubic polynomial in each cell of the rectangular grid. Emphasis is on avoiding excessive undulation between given grid points. The proposed method is an extension of the method of univariate interpolation developed earlier by the author and is likewise based on local procedures.
178 citations
TL;DR: In this article, the Ritz method was used to solve the variational problem for plate bending by bicubic fundamental splines, which is a piecewise polynomial method, adaptable to practical numerical computation and can be an alternative for the well-known Finite Element Method.
Abstract: This paper deals with solving the two-dimensional variational problem for plate bending by the Ritz method using bicubic fundamental splines. It is a piecewise polynomial method, very adaptable to practical numerical computation, and can be an alternative for the well-known Finite Element Method1.
35 citations
TL;DR: In this article, the ϱ-methods are used to establish generalized Hausdorff-Young estimates for the Fourier transform and the conjugate operator, respectively.
26 citations
14 citations
4 citations
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2 citations
TL;DR: The principles of operation of an interpolation device, which transforms a discretely defined signal into a continuous one, and the circumstances limiting the order of interpolation in these types of interpolating circuits are explained.