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基于空间仿射对应点列的双曲抛物面三维构建及分析
The 3D modeling and analysis of hyperbolic paraboloid based on the spatial affine point ranges
【摘要】 利用计算机3D软件构建基于空间仿射对应点列的双曲抛物面。对双曲抛物面进行不同方向的投射,可以准确得到双曲抛物面不同方位和角度的投影图。从这些投影图中,可以更直观、清楚的了解双曲抛物面的投影特点。使用多个不同位置的平面对双曲抛物面进行截切,并通过分析、观察截交线的变化趋势,得出几点规律性的结论。
【Abstract】 This article constructs three-dimensional hyperbolic paraboloid based on spatial affine point ranges using the computer 3D software.From the projection in different directions on hyperbolic paraboloid,a series of projection drawing in different directions and angles of the hyperbolic paraboloid can be acquired.The characteristics of the projection drawing of the hyperbolic paraboloid are understood more directly and clearly from these projections.By using a number of planes of different locations to cut the hyperbolic paraboloid and by analyzing and observing the trend of intersection lines,several conclusions of regularity are obtained.
【Key words】 affine point ranges; 3D modeling; hyperbolic paraboloid; intersection line;
- 【文献出处】 图学学报 ,Journal of Graphics , 编辑部邮箱 ,2012年05期
- 【分类号】TP391.72;O182.2
- 【被引频次】2
- 【下载频次】93