Accession Number:

ADP011987

Title:

A B-spline Tensor for Vectorial Quasi-Interpolant

Descriptive Note:

Conference paper

Corporate Author:

INSTITUT NATIONAL DES SCIENCES APPLIQUEES DE TOULOUSE (FRANCE) GENIE MATHEMATIQUE ET MODELISATION

Personal Author(s):

Report Date:

2000-01-01

Pagination or Media Count:

8.0

Abstract:

The aim of this paper is to introduce new techniques and new tools for vector field approximation. We do so by building the equivalent of B-splines, which are now tensor B-splines, as shown below, and by appling to the discretization based on a regular grid of a differential operator a fundamental solution of it, as done for polynomial B-splines and polyharmonic B-splines. We thus obtain quasi-interpolants in the vectorial case whose properties generalize the properties of the quasi-interpolants generated by using B-splines. All this is done in the case when the data lie on a regular infinite grid.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE