$C^1$ surface interpolation for scattered data on a sphere
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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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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Tom Lyche, a Trygve K. Nilssen, b and Ragnar Winther c,∗ a Department of Informatics, University of Oslo, P.O. Box 1080 Blindern, 0316 Oslo, Norway E-mail: [email protected] b Department of Mathematics, University of Bergen, Johannes Brunsgt. 12, 5007 Bergen, Norway E-mail: [email protected] c Department of Informatics and Department of Mathematics, University of Oslo, P.O. Box 1080 Blinder...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1984
ISSN: 0035-7596
DOI: 10.1216/rmj-1984-14-1-177