The Visual Computer

, Volume 1, Issue 2, pp 69–91 | Cite as

The plane with parallel coordinates

  • Alfred Inselberg


By means ofParallel Coordinates planar “graphs” of multivariate relations are obtained. Certain properties of the relationship correspond tothe geometrical properties of its graph. On the plane a point ←→ line duality with several interesting properties is induced. A new duality betweenbounded 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 inComputational Geometry. There is also a suprising “cusp” ←→ “inflection point” duality. The narrative ends with a preview of the corresponding results inR N .

Key words

Convexity Duality Parallel coordinates Intelligent control 


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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Alfred Inselberg
    • 1
    • 2
  1. 1.IBM Scientific CenterLos AngelesUSA
  2. 2.Department of Computer ScienceUniversity of CaliforniaLos AngelesUSA

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