On the Dimension of the Bivariate Splines Spaces
Received:May 29, 1992  
Key Words: multivariate spline   HCT triangulation   B-net   super-spline  
Fund Project:Partially Supported by the Science Foundation of China, the Postdoctoral Scinece Foundation of China and the Science Foundation for Youths provided by HUST.
Author NameAffiliation
Gao Junbin Dept. of Math.
Huazhong University of Science and Technology
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      We establish the dimensional formula of the space of Cr bivariate piecewisepolynomials defined on a triangulation △* which comes from an original triangulation △ of a connected polygonal domain with HCT subdivision for each triangle of △. Ourapproach is made by constructing a minimal determining set and an associated explicitbasis for the space Sr(3r)(△*). The minimal determining set is defined well.
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