Monomial forms of two generalized ball curves and their proofs

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Publication Details

Author list: Savetseranee D., Dejdumrong N.

Publisher: Hindawi

Publication year: 2013

Start page: 235

End page: 239

Number of pages: 5

ISBN: 9781479908066

ISSN: 0146-9428

eISSN: 1745-4557

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84883374182&doi=10.1109%2fJCSSE.2013.6567351&partnerID=40&md5=61bf6f6086d687c171819ca4d249d9f8

Languages: English-Great Britain (EN-GB)

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Abstract

There are several methods used to construct curves in CAGD, e.g., the de Casteljau's algorithm, Wang algorithm, Said-Ball algorithm. However, they are represented in the forms that are not suitable for performing geometric modeling. A proposed approach for evaluating Said-Ball and Wang-Ball curves by using monomial form was introduced by Aphirukmatakun and Dejdumrong in 2009. The authors did not provide any proofs for their propositions. Thus, this paper shows the proofs for the conversions from Said-Ball polynomials into its monomial form as well as that of the Wang-Ball polynomials. ฉ 2013 IEEE.

Keywords

Curve conversion, Monomial form, Monomial Matrix