The product of two B-spline functions

Xiangjiu Che, Gerald Farin, Zhanheng Gao, Dianne Hansford

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

Abstract

A method for calculating the product of two B-spline functions is presented. The product is computed by solving a linear system. The coefficient matrix of the system is a Gramian, which guarantees that the system has a unique solution. Every element of the coefficient matrix and the righthand vector of the system is an inner product of B-splines. The inner product can be computed accurately by making use of numerical methods.

Original languageEnglish (US)
Title of host publicationNew Trends and Applications of Computer-Aided Material and Engineering
Pages445-448
Number of pages4
DOIs
StatePublished - Feb 14 2011
Event2011 International Conference on Computer-Aided Material and Engineering, ICCME 2011 - Hangzhou, China
Duration: Mar 9 2011Mar 11 2011

Publication series

NameAdvanced Materials Research
Volume186
ISSN (Print)1022-6680

Other

Other2011 International Conference on Computer-Aided Material and Engineering, ICCME 2011
Country/TerritoryChina
CityHangzhou
Period3/9/113/11/11

Keywords

  • B-spline function product
  • Inner product

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint

Dive into the research topics of 'The product of two B-spline functions'. Together they form a unique fingerprint.

Cite this