Sciweavers

ADCM
2008
119views more  ADCM 2008»
13 years 11 months ago
Bounds on the dimensions of trivariate spline spaces
We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of sm...
Peter Alfeld, Larry L. Schumaker
ADCM
2008
66views more  ADCM 2008»
14 years 23 days ago
The focal geometry of circular and conical meshes
Helmut Pottmann, Johannes Wallner
ADCM
2008
136views more  ADCM 2008»
14 years 23 days ago
Learning and approximation by Gaussians on Riemannian manifolds
Learning function relations or understanding structures of data lying in manifolds embedded in huge dimensional Euclidean spaces is an important topic in learning theory. In this ...
Gui-Bo Ye, Ding-Xuan Zhou
ADCM
2008
91views more  ADCM 2008»
14 years 23 days ago
Bivariate ideal projectors and their perturbations
In this paper we present a complete description of ideal projectors from the space of bivariate polynomials F[x; y] onto its subspace F<n[x; y] of polynomials of degree less tha...
Boris Shekhtman
ADCM
2008
71views more  ADCM 2008»
14 years 23 days ago
Solvability of partial differential equations by meshless kernel methods
This paper first provides a common framework for partial differential equation problems in both strong and weak form by rewriting them as generalized interpolation problems. Then ...
Y. C. Hon, Robert Schaback
ADCM
2008
76views more  ADCM 2008»
14 years 23 days ago
A multivariate Powell-Sabin interpolant
We consider the problem of constructing a C1 piecewise quadratic interpolant, Q, to positional and gradient data defined at the vertices of a tessellation of n-simplices in IRn . T...
Tatyana Sorokina, Andrew J. Worsey
ADCM
2008
187views more  ADCM 2008»
14 years 23 days ago
Approximation on the sphere using radial basis functions plus polynomials
In this paper we analyse a hybrid approximation of functions on the sphere S2 R3 by radial basis functions combined with polynomials, with the radial basis functions assumed to be...
Ian H. Sloan, Alvise Sommariva