The Product of Two B-Spline Functions

Author:

Che Xiang Jiu1,Farin Gerald2,Gao Zhan Heng1,Hansford Dianne2

Affiliation:

1. Jilin University

2. Arizona State University

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.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

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