| Interval Bézier Surfaces Approximation of Rational Surfaces |
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| 引用本文： | 黄林.Interval Bézier Surfaces Approximation of Rational Surfaces[J].西南交通大学学报(英文版),2010,18(1):91-98. |
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| 作者姓名： | 黄林 |
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| 作者单位： | Department of Mathematics;Dalian University of Technology;China Jiliang University; |
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| 基金项目： | Project supported by Inner Mongolia University of Science and Technology (No.X200829) |
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| 摘 要： | On the basis of the perturbation, we present an approach to approximating rational surfaces by the interval Bézier surfaces using energy minimization method. The approach makes the perturbation surfaces have more restrictions than the original surfaces. It could be combined with subdivision method to obtain a piecewise interval polynomial approximation for a rational surface. The applications of this approach are illustrated too.
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| 关 键 词： | 有理曲面 分段区间 Bézier 曲面逼近 最小化方法 多项式逼近 合理使用 表面 |
Interval Bezier Surfaces Approximation of Rational Surfaces |
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| HUANG Lin.Interval Bezier Surfaces Approximation of Rational Surfaces[J].Journal of Southwest Jiaotong University,2010,18(1):91-98. |
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| Authors: | HUANG Lin |
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| Institution: | Department of Mathematics,China Jiliang University,Hangzhou 310018,China;Department of Mathematics,Dalian University of Technology,Dalian 116023,China;} |
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| Abstract: | On the basis of the perturbation, we present an approach to approximating rational surfaces by the interval Btzier surfaces using energy minimization method. The approach makes the perturbation surfaces have more restrictions than the original surfaces. It could be combined with subdivision method to obtain a piecewise interval polynomial approximation for a rational surface. The applications of this approach are illustrated too. |
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| Keywords: | Rational surface Interval Bezier surface Polynomial surface Approximation Perturbation |
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