A new univariate basis for curve construction and its multi-degree reduction

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Author list: Dejdumrong N., Bakhshesh D.

Publisher: American Scientific Publishers

Publication year: 2013

Journal: Advanced Science Letters (1936-6612)

Volume number: 19

Issue number: 5

Start page: 1495

End page: 1499

Number of pages: 5

ISSN: 1936-6612

eISSN: 1936-7317

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876833419&doi=10.1166%2fasl.2013.4463&partnerID=40&md5=53711816f0ec6eab23cbe60caed32185

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we employ monomial matrices to determine the transformations between Chebyshev and our proposed bases, as well as, the matrices of multi-degree elevation and multi-degree reduction of Chebyshev polynomials. As a result, it will present asimple and efficient method for multi-degree elevation and optimal multi-degree reduction for the new polynomial curves with respect to the weighted L 2 -norm for the interval [0 1], using the weight function. The error of the degree reduction scheme will be used to evaluate the multi-degree reduction with endpoint interpolations. ฉ 2013 American Scientific Publishers All rights reserved.

Keywords

Chebyshev polynomials basis transformations, Continuity conditions