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The plane with parallel coordinates

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Abstract

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.

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Authors and Affiliations

  1. IBM Scientific Center, 11601 Wilshire Boulevard, 90025 1738, Los Angeles, CA, USA

    Alfred Inselberg

  2. Department of Computer Science, University of California, 90024, Los Angeles, CA, USA

    Alfred Inselberg

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  1. Alfred Inselberg
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Inselberg, A. The plane with parallel coordinates. The Visual Computer 1, 69–91 (1985). https://doi.org/10.1007/BF01898350

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