Results 21 to 30 of about 954 (69)
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres [PDF]
, 2015 Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an $L^2$-positive definite and zonal kernel on the unit sphere of $\mathbb{C}^q$ in order that the kernel can be ...
Barbosa, Victor S., Menegatto, Valdir A.
core +2 more sources
A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations [PDF]
, 2009 We propose a parametric tensioned version of the FVS macro-element to control the shape of the composite surface and remove artificial oscillations, bumps and other undesired behaviour.
Ambrosetti +24 more
core +1 more source
A characterization of the approximation order for multivariate spline spaces
, 1991 We analyze the approximation order associated with a directed set of spaces, {Sh}h>0, each of which spanned by the hZZ-translates of one compactly supported function φh : IR s → C.
A. Ron
semanticscholar +1 more source
Polyharmonic approximation on the sphere [PDF]
, 2009 The purpose of this article is to provide new error estimates for a popular type of SBF approximation on the sphere: approximating by linear combinations of Green's functions of polyharmonic differential operators.
B.J.C. Baxter +17 more
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Extending the range of error estimates for radial approximation in Euclidean space and on spheres
, 2006 We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothness ...
Duchon J. +4 more
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Irregular C2 surface construction using bi-polynomial rectangular patches [PDF]
, 1991 The construction of C2 surfaces using bi-polynomial parametric rectangular patches is studied. In particular, the analy- sis of the C2 continuity conditions for the case of n patches meeting at an n-vertex is ...
Gregory, JA, Zhou, J
core
, 2007 The error between appropriately smooth functions and their radial basis function interpolants, as the interpolation points fill out a bounded domain in R^d, is a well studied artifact. In all of these cases, the analysis takes place in a natural function
F.J. Narcowich +8 more
core +1 more source
The Breadth-one $D$-invariant Polynomial Subspace [PDF]
, 2014 We demonstrate the equivalence of two classes of $D$-invariant polynomial subspaces introduced in [8] and [9], i.e., these two classes of subspaces are different representations of the breadth-one $D$-invariant subspace.
Jiang, Xue, Zhang, Shugong
core
Wendland functions with increasing smoothness converge to a Gaussian
, 2013 The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both the original and the "missing" Wendland functions converge uniformly to a ...
Chernih, A. +2 more
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On Fekete Points for a Real Simplex [PDF]
arXiv, 2022 We survey what is known about Fekete points/optimal designs for a simplex in $\R^d.$ Several new results are included. The notion of Fej\'er exponenet for a set of interpolation points is introduced.
arxiv