图学学报
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摘要: :空间两条直线交叉,且该两条直线是二仿射对应点列的底,其对应点的连 线包络成的二次曲面称为双曲抛物面。借助于正投影图,讨论了双曲抛物面图示法的特点和 截交线的变化规律。
关键词: 仿射点列, 双曲抛物面, 截交线
Abstract: Two lines are skew in three-dimensional space and are satisfied with the requirement as the base of two affine point ranges at the same time , the Quadric Surface then formed by connecting the corresponding points is called Hyperbolic Paraboloid. With the help of the orthographic projection method, the features of the graphically representative method of this surface and the variation rule of the intersection line of this surface with a plane are discussed in the paper.
Key words: affine point ranges, hyperbolic paraboloid, intersection line
刘阜平, 丁 勇. 空间二仿射对应点列形成的双曲抛物面[J]. 图学学报.
LIU Fu-ping, DING Yong. The Hyperbolic Paraboloid Formed by Two Affine Point Ranges in Space[J]. Journal of Graphics.
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http://www.txxb.com.cn/CN/Y2011/V32/I6/1