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Multiple degree elevation and constrained multiple degree reduction for DP curves and surfaces
- Source :
-
Computers & Mathematics with Applications . Apr2011, Vol. 61 Issue 8, p2296-2299. 4p. - Publication Year :
- 2011
-
Abstract
- Abstract: In this paper, the problem of single and multiple degree elevation and reduction for DP curves and surfaces is considered and expressed in matrix representations. Using monomial matrix representations of the univariate DP polynomials, single and multiple degree elevation matrices can be derived by minor extension of this monomial matrix. Given this result, matrices of constrained single and multiple degree reduction can be readily obtained. Finally, important and sufficient conditions for degree reduction can also be found from these resulting matrices. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 61
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 59943697
- Full Text :
- https://doi.org/10.1016/j.camwa.2010.09.052