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| DUAL FUNCTIONALS OF SAID-BZIER TYPE GENERALIZED BALL BASES OVER TRIANGLE DOMAIN AND THEIR APPLICATION | |
| 作者姓名： | Wu HongyiDept. of Math. Hefei Univ. of Technology Hefei 230009 China. |
| 作者单位： | Wu HongyiDept. of Math.，Hefei Univ. of Technology，Hefei 230009，China. |
| 摘 要： | §1IntroductionThe generalized Ball curves possess many properties similar to the properties of Béziercurve and an advantage that there are more efficient elevation and recursive algorithms forevaluating the points on curve[1-3].The dual functionals are an important tool forconversing various bases and studying the properties of curve and surface.Lai gave thedual functionals of polynomials in B-form or in Bézier form over a simplex[4].In theunivariate setting the dual functionals of variou… |
| 关 键 词： | Bézier basis Said-Bézier type generalized Ball (SBGB) basis triangular domain dual functional subdivision formula. |
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