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DUAL FUNCTIONALS OF SAID-BEZIER TYPE GENERALIZED BALL BASES OVER TRIANGLE DOMAIN AND THEIR APPLICATION
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收稿时间:2004-04-14

Dual functionals of said-bézier type generalized ball bases over triangle domain and their application
Wu Hongyi. Dual functionals of said-bézier type generalized ball bases over triangle domain and their application[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(1): 96-106. DOI: 10.1007/s11766-996-0028-x
Authors:Wu Hongyi
Affiliation:(1) Dept. of Math., Hefei Univ. of Technology, 230009 Hefei, China
Abstract:A family of Said-Bézier type generalized Ball (SBGB) bases and surfaces with a parameter H over triangular domain is introduced, which unifies Bézier surface and Said-Ball surface and includes several intermediate surfaces. To convert different bases and surfaces, the dual functionals of bases are presented. As an application of dual functionals, the subdivision formulas for surfaces are established.
Keywords:65D17
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