Dimensions of Bivariate Quintic Spline Spaces over the Generalized Type-I Triangulation
Juxia Xiong
Abstract
Juxia Xiong
Abstract
In this paper,by using the method of Bernstein-Bezier net and the technique of minimal determining set,a minimal determining set for bivariate quintic spline space over the generalized type-Ⅰ triangulation is given,and the dimension of bivariate spline space is determined.
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In this paper,by using the method of Bernstein-Bezier net and the technique of minimal determining set,a minimal determining set for bivariate quintic spline space over the generalized type-Ⅰ triangulation is given,and the dimension of bivariate spline space is determined.
Key concepts: Bivariate analysis, Mathematics, Spline (mechanical), Quintic function, Perfect spline, Thin plate spline, Triangulation, Smoothing spline