Multiple degree elevation and constrained multiple degree reduction for DP curves and surfaces

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Publication Details

Author list: Aphirukmatakun C., Dejdumrong N.

Publisher: Elsevier

Publication year: 2011

Journal: Computers & Mathematics with Applications (0898-1221)

Volume number: 61

Issue number: 8

Start page: 2296

End page: 2299

Number of pages: 4

ISSN: 0898-1221

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79953747950&doi=10.1016%2fj.camwa.2010.09.052&partnerID=40&md5=0b9af13749a7f693af4474aecce49f7a

Languages: English-Great Britain (EN-GB)

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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. ฉ 2010 Elsevier Ltd. All rights reserved.

Keywords

DP surfaces, Multiple degree elevation, Multiple degree reduction, Single degree elevation, Single degree reduction