andyrose@batcomputer.tn.cornell.edu (Andy Rose) (11/16/90)
For a truly novel approach to visualizing data of n-dimensions see: The Visual Computer (1985) 1:69-91 (C) Springer Verlag The plane with parallel coordinates Alfred Inselberg IBM Scientific Center 11601 Wilshire Boulevard Los Angeles, CA 90025-1738 USA Department of Computer Science University of California Los Angeles, CA 90024 USA Abstract: 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 in 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 surprising "cusp" <- -> "inflection point" duality. The narrative ends with a preview of the corresponding results in R^n. Key words: Convexity, Duality, Parallel Coordinates, Intelligent control Inselberg spoke at Cornell Theory Center a few weeks ago and he is on to something. If you have data for, say, the eating habits of Europeans and you wish to see correlations in the data try this. Set up some lines like so | | | | | ... | | | | | | | P R S C B T o i u l e o r c g a a f k e a m n u r s s And plot a "line" for each country in a different color. I say "line" because it obviously won't be straight. You have now represented n-dimensional data on a two-D plot. Inselberg's paper is very deep so I won't try to guess... -- Andrew Newkirk Rose '91 Department of Visualization CNSF/Theory Center 632 E & T Building, Hoy Road Ithaca, NY 14583 607 254 8686 andy@cornellf.tn.cornell.edu