| 有理B样条曲面的区间隐式化 |
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| 引用本文： | 陈越强,冯玉瑜,邓建松.有理B样条曲面的区间隐式化[J].计算机辅助设计与图形学学报,2007,19(7):849-853,860. |
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| 作者姓名： | 陈越强 冯玉瑜 邓建松 |
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| 作者单位： | 中国科学技术大学数学系,合肥,230026 |
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| 基金项目： | 国家自然科学基金
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高等学校博士学科点专项科研项目
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高等学校学科创新引智计划 |
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| 摘 要： | 提出有理B样条曲面的区间隐式化方法,即对一个有理B样条曲面,寻求包含给定的曲面的区间隐式B样条曲面,使得区间隐式B样条曲面的"厚度"尽量小,同时尽量避免出现多余分支.该问题等价于求区间隐式B样条曲面的2个边界曲面.针对该问题建立一个最优化模型并求解.
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| 关 键 词： | 有理B样条曲面 区间隐式B样条曲面 区间隐式化 有理 样条曲面 区间隐式化 Surfaces Rational Implicitization 求解 优化模型 边界曲面 问题 分支 厚度 方法 |
| 收稿时间： | 2007-05-03 |
| 修稿时间： | 2007-05-03 |
Interval Implicitization of Rational B-Spline Surfaces |
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| Chen Yueqiang,Feng Yuyu,Deng Jiansong.Interval Implicitization of Rational B-Spline Surfaces[J].Journal of Computer-Aided Design & Computer Graphics,2007,19(7):849-853,860. |
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| Authors: | Chen Yueqiang Feng Yuyu Deng Jiansong |
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| Affiliation: | Department of Mathematics, University of Science and Technology of China, Hefei 230026 |
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| Abstract: | We study the interval implicitization of rational B-spline surfaces; that is, finding an interval implicit B-spline surface which bounds a given rational B-spline surface such that the width of the interval implicit B-spline surface is as small as possible. This problem is equivalent to finding the two bounding surfaces of interval implicit B-spline surface. To achieve this goal, we establish an optimization model and give the solution. |
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| Keywords: | rational B-spline surface interval implicit B-spline surface interval implicitization |
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