Monomial forms of two generalized ball curves and their proofs

Author

Savetseranee, Dilokvith ; Dejdumrong, Natasha

Author_Institution

Dept. of Comput. Eng., King Mongkut´s Univ. of Technol. Thonburi, Bangkok, Thailand

fYear

2013

fDate

29-31 May 2013

Firstpage

235

Lastpage

239

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.

Keywords

computational geometry; polynomials; CAGD; Said-Ball algorithm; Said-Ball curves; Said-Ball polynomials; Wang algorithm; Wang-Ball curves; Wang-Ball polynomials; de Casteljau algorithm; generalized ball curves; monomial forms; Algorithm design and analysis; Computational modeling; Educational institutions; Matrix converters; Polynomials; Programming; Transforms; Curve Conversion; Monomial Matrix; Monomial form;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Software Engineering (JCSSE), 2013 10th International Joint Conference on

Conference_Location

Maha Sarakham

Print_ISBN

978-1-4799-0805-9

Type

conf

DOI

10.1109/JCSSE.2013.6567351

Filename

6567351