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Extension quintic wang-ball curves and surfaces
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 Î»1 = Î¼1 and Î»2 = Î¼2, the extension quintic Wang-Ball will be symmetric and when Î»1 = Î¼1 = 0, Î»2 = Î¼2 = 2, and when Î»1 = Î¼1 = 1, Î»2 = Î¼2 = 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.
Far East Journal of Mathematical Sciences
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