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 language | English (US) |
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Title of host publication | New Trends and Applications of Computer-Aided Material and Engineering |
Pages | 445-448 |
Number of pages | 4 |
DOIs | |
State | Published - Feb 14 2011 |
Event | 2011 International Conference on Computer-Aided Material and Engineering, ICCME 2011 - Hangzhou, China Duration: Mar 9 2011 → Mar 11 2011 |
Publication series
Name | Advanced Materials Research |
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Volume | 186 |
ISSN (Print) | 1022-6680 |
Other
Other | 2011 International Conference on Computer-Aided Material and Engineering, ICCME 2011 |
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Country | China |
City | Hangzhou |
Period | 3/9/11 → 3/11/11 |
Keywords
- B-spline function product
- Inner product
ASJC Scopus subject areas
- Engineering(all)