Extension quintic wang-ball curves and surfaces

Karim, S.A.A. (2013) Extension quintic wang-ball curves and surfaces. Far East Journal of Mathematical Sciences, 75 (SPL.IS). pp. 185-201. ISSN 09720871

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Abstract

A new extension quintic Wang-Ball basis functions will be derived in this paper. It has four shape parameters that enable user to change the shape of the curves and surfaces. Choosing λ1 = μ1 and λ2 = μ2, the extension quintic Wang-Ball will be symmetric and when λ1 = μ1 = 0, λ2 = μ2 = 2, and when λ1 = μ1 = 1, λ2 = μ2 = 2, the extension quintic Wang-Ball reduces to the standard quintic Wang- Ball and standard quintic Said-Ball, respectively. Thus, the new extension quintic Wang-Ball consists of quintic Wang-Ball and quintic Said-Ball as its special case. Besides that, the first order of parametric continuity C1 and geometric G1 is more flexible compared with the original quintic Wang-Ball and quintic Said-Ball, respectively. Several numerical results justify our claim. © 2013 Pushpa Publishing House.

Item Type: Article
Additional Information: cited By 3
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 09 Nov 2023 15:51
Last Modified: 09 Nov 2023 15:51
URI: https://khub.utp.edu.my/scholars/id/eprint/3603

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