The Product of Two B-Spline Functions

Xiang Jiu Che; Gerald Farin; Zhan Heng Gao; Dianne Hansford

doi:10.4028/www.scientific.net/AMR.186.445

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 186The Product of Two B-Spline Functions

The Product of Two B-Spline Functions

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.

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Periodical:

Advanced Materials Research (Volume 186)

Pages:

445-448

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.186.445

Citation:

Cite this paper

Online since:

January 2011

Authors:

Xiang Jiu Che, Gerald Farin, Zhan Heng Gao, Dianne Hansford

Keywords:

B-Spline Function Product, Gramian Matrix, Inner Product

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References

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