Some basic geometric test conditions in terms of Plücker coordinates and Plücker coefficients
Some basic geometric test conditions in terms of Plücker coordinates and Plücker coefficients
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普吕克坐标和普吕克系数的一些基本几何测试条件
DOI：
10.1007/s003710050087
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
M. Niizeki
中科院分区：
文献类型：
--
作者：
F. Yamaguchi;M. Niizeki
我们提出了一些基本的几何测试，这些测试是统一的、射影不变的，并且不需要任何辅助点。我们包括：(1)齐次平坦与单形的线性无关条件；(2)齐次平坦的重合、共面、共生和共线条件；(3)齐次单形之间的干涉条件，定义在射影空间和双边空间中。所有的条件都用普拉克坐标和普拉克系数表示。
We propose some basic geometric tests that are unified, projectively invariant, and do not require any auxiliary points. We include (1) linearly independent conditions of homogeneous flats and simplices;(2) coincidence, coplanarity, concurrency, and collinearity conditions of homogeneous flats; and (3) interference conditions between homogeneous simplices, defined both in projective space and in two-sided space. All the conditions are represented in terms of Plucker coordinates and Plucker coefficients.