Conforming Hierarchical Basis Functions

Fast surface interpolation using hierarchical basis functions

The rapid solution of surface interpolation and other regularization problems on massively parallel architectures is an important problem within computer vision. Fast relaxation algorithms can be used to integrate sparse data, resolve ambiguities in optic flow fields, and guide stereo matching algorithms. In the past, multigrid techniques have been used in order to speed up the relaxation. In t...

Surface Reconstruction Based on Hierarchical Floating Radial Basis Functions

In this paper we address the problem of optimal center placement for scattered data approximation using radial basis functions (RBF) by introducing the concept of floating centers. Given an initial least-squares solution, we optimize the positions and the weights of the RBF centers by minimizing a nonlinear error function. By optimizing the center positions, we obtain better approximations with...

Hierarchical Basis for Unstructured

Using Piecewise Sinusoidal Basis Functions as Multiple Domain Basis Functions

This paper discusses application of the piecewise sinusoidal (PWS) basis function (BF) over a chain of several wire segments, i.e. as a multiple domain basis functions. The usage of PWS BF is compared to results based on the piecewise linear (PWL) basis functions. An example of meander monopole demonstrates the advantages associated with the PWS BF.

MQ-Radial Basis Functions Center Nodes Selection with PROMETHEE Technique

In this paper‎, ‎we decide to select the best center nodes‎ ‎of radial basis functions by applying the Multiple Criteria Decision‎ ‎Making (MCDM) techniques‎. ‎Two methods based on radial basis‎ ‎functions to approximate the solution of partial differential‎ ‎equation by using collocation method are applied‎. ‎The first is based‎ ‎on the Kansa's approach‎, ‎and the second is based on the Hermit...