Three-stage interpolation to scattered data
نویسندگان
چکیده
منابع مشابه
Scattered data approximation of fully fuzzy data by quasi-interpolation
Fuzzy quasi-interpolations help to reduce the complexity of solving a linear system of equations compared with fuzzy interpolations. Almost all fuzzy quasi-interpolations are focused on the form of $widetilde{f}^{*}:mathbb{R}rightarrow F(mathbb{R})$ or $widetilde{f}^{*}:F(mathbb{R})rightarrow mathbb{R}$. In this paper, we intend to offer a novel fuzzy radial basis function by the concept of so...
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This is a survey of techniques for the interpolation of scattered data in three or more independent variables. It covers schemes that can be used for any number of variables as well as schemes speci cally designed for three variables. Emphasis is on breadth rather than depth, but there are explicit illustrations of di erent techniques used in the solution of multivariate interpolation problems.
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The construction of a range restricted bivariate C ( or G ) interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bézier points in order to ensure that surfaces comprising cubic Bézier triangular patches are always positive and satisfy C ...
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We investigate the performance of DEI, an approach [2] that computes off-mesh approximations of PDE solutions, and can also be used as a technique for scattered data interpolation and surface representation. For the general case of unstructured meshes, we found it necessary to modify the original DEI. The resulting method, ADEI, adjusts the parameter of the interpolant, obtaining better perform...
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where α = (α1, . . . , αn) is an n-tuple of nonnegative integers and |α| = ∑n j=1 |αj |. If every polynomial p ∈ πm−1(R) is determined by its values on X, then we will say that the data set X is unisolvent (for πm−1(R )). This condition can also be rephrased in terms of matrices. Order the monomials x in some convenient way. Form the matrix P for which the rows are an x evaluated at xj , j = 1,...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1984
ISSN: 0035-7596
DOI: 10.1216/rmj-1984-14-1-141