| 微切平面逼近三维散乱数据的研究 |
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| 引用本文： | 黄雪梅,陈吉红,王平江.微切平面逼近三维散乱数据的研究[J].华中科技大学学报(自然科学版),1997(9). |
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| 作者姓名： | 黄雪梅 陈吉红 王平江 |
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| 作者单位： | 华中理工大学机械科学与工程学院 |
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| 摘 要： | 提出了三维散乱数据微切平面逼近的算法．基于曲面形状信息反映在三维散乱点集中，用三维点集中某点的邻域点集构造微切平面来近似表示该点处的局部形状，所有点的微切平面集合则构成了待构曲面的近似表示．通过欧几里德最小生成树对微切平面法矢方向进行调整使其达到整体一致性，该算法在三维散乱数据曲面重构中具有重要意义．
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| 关 键 词： | 散乱点 微切平面 曲面造型 反求工程 |
On the Approximation of 3 D Random Data with a Tangent Plane |
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| Huang Xuemei Doctoral Candidate, College of Mech. Sci. & Eng.,HUST,Wuhan ,China. Chen Jihong Wang Pingjiang.On the Approximation of 3 D Random Data with a Tangent Plane[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1997(9). |
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| Authors: | Huang Xuemei Doctoral Candidate College of Mech Sci & Eng HUST Wuhan China Chen Jihong Wang Pingjiang |
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| Institution: | Huang Xuemei Doctoral Candidate, College of Mech. Sci. & Eng.,HUST,Wuhan 430074,China. Chen Jihong Wang Pingjiang |
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| Abstract: | An algorithm for the approximation of 3 D random data with a tengent plane is developed. Based on the fact that the shape information of the curved surface is included in a set of 3 D random points, the tangent plane constructed by the neighboring point set of a certain point in the 3 D random points is used to approximately represent the local shape of that point. the approximate representation of the curved surface to be constructed will then be made up of the set of tangent plane of all the points. The Euclidean minimum spanning tree is adoped to adjust the direction of the normal vector so as to achieve global consistency. |
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| Keywords: | random data tangent plane surface modeling inverse engineering |
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