The plane with parallel coordinates
The plane with parallel coordinates
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DOI：
10.1007/bf01898350
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发表时间：
1985-08-01
期刊：
影响因子：
3.5
通讯作者：
Inselberg, Alfred
中科院分区：
文献类型：
--
作者：
Inselberg, Alfred
利用平行坐标的方法，得到了多元关系的平面“图”。该关系的某些性质与其图的几何性质相对应。平面上的一个点。给出了具有几个有趣性质的线对偶。发现了有界凸集与无界凸集与hStar(双曲线的推广)之间以及凸并与交之间的一种新的对偶关系。这激发了一些有效的凸性算法和其他在计算几何中的结果。还有一个令人惊讶的“尖点”“拐点”二元性。叙述以R-N格式的相应结果的预览结束。
By means of Parallel Coordinates planar "graphs" of multivariate relations are obtained. Certain properties of the relationship correspond to the geometrical properties of its graph. On the plane a point . line duality with several interesting properties is induced. A new duality between bounded and unbounded convex sets and hstars (a generalization of hyperbolas) and between Convex Unions and Intersections is found. This motivates some efficient Convexity algorithms and other results in Computational Geometry. There is also a suprising "cusp" "inflection point" duality. The narrative ends with a preview of the corresponding results in R-N.