| 势函数法磨光正凸n面角的曲面片消失研究 |
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| 引用本文： | 高文武,黄己立.势函数法磨光正凸n面角的曲面片消失研究[J].安徽建筑工业学院学报,2007,15(4):45-47. |
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| 作者姓名： | 高文武 黄己立 |
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| 作者单位： | 安徽建筑工业学院数理系,合肥,230022 |
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| 基金项目： | 安徽建筑工业学院硕博基金资助项目(20061201) |
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| 摘 要： | 凸n面角的同时磨光是磨光领域中非常重要的一个课题.目前已有多种磨光方法,其中势函数法应用最为广泛.但是,在n＞3时,这种方法存在着磨光曲面片消失的问题,而且这个问题一直未被解决.该文提出一个定理,应用该定理可以解决用势函数法同时磨光正凸n＞3面角时磨光曲面片消失的问题.针对定理的应用,给出几个演示算例.
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| 关 键 词： | 磨光曲面片 过渡曲面 势函数法 |
| 文章编号： | 1006-4540（2007）04-045-03 |
| 修稿时间： | 2007-04-06 |
Study on the diminishing surface patch of blending regular n-convex corner with the potential function method |
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| GAO Wen-wu,HUANG Ji-li.Study on the diminishing surface patch of blending regular n-convex corner with the potential function method[J].Journal of Anhui Institute of Architecture(Natural Science),2007,15(4):45-47. |
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| Authors: | GAO Wen-wu HUANG Ji-li |
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| Affiliation: | GAO Wen-wu,HUANG Ji-li (Department of Mathematics ＆ Physics,Anhui Institute of Architecture ＆ Industry,Hefei 230022,China) |
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| Abstract: | Simultaneous blending of n-convex corner is an important issue in the fields of blending.Several methods have been proposed,in which,the potential function method is widely used.However,this method,when n>3,has the problem of diminishing blending surface patches unsolved up to now.In this paper,a theorem has been proposed.By this theorem,the problem of the diminishing blending surface patches for simultaneous blending of the regular n-convex corner has been solved.Several examples are presented to demonstrate the applications of the theorem. |
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| Keywords: | blending surface patch transitional surface the potential function method |
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