Accession Number : ADA114479

Title :   B-Splines From Parallelepipeds.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : DE Boor,C ; Hoellig,K

PDF Url : ADA114479

Report Date : Feb 1982

Pagination or Media Count : 24

Abstract : Local support bases for piecewise polynomial spaces are important for applications such as finite element methods, data fitting etc. In (BH sub 1) a general construction principle for such B-splines was described. A special case are the so called box-splines. They have a particularly regular discontinuity pattern and coincide in special cases with standard finite elements. It is hoped that using translates of box-splines will lead, at least in two variables, to a unified theory for piecewise polynomial functions on regular meshes. This note is a first attempt in this direction and deals with basic approximation properties of translates of one box-splines such as stability, degree of approximation etc. (Author)

Descriptors :   *Splines(Geometry), *Multivariate analysis, Finite element analysis, Data reduction, Approximation(Mathematics), Stability, Polynomials, Discontinuities, Optimization

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE