The plane with parallel coordinates
type: Item
instance of: scholarly article
title: The plane with parallel coordinates
zbMATH Open document ID: 0617.52005
DOI: 10.1007/BF01898350
author: Alfred Inselberg
published in: The Visual Computer
publication date: 1985-01-01T00:00:00Z
review text: 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 \(\leftarrow \to\) 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'' \(\leftarrow \to\) ''inflection point'' duality. The narrative ends with a preview of the corresponding results in \(R^ N\).
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 68U99
Mathematics Subject Classification ID: 68Q25
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 4000871
zbMATH Keywords: computer graphics
zbMATH Keywords: Euclidean plane embedded in the projective plane
zbMATH Keywords: convex hull
zbMATH Keywords: duality
zbMATH Keywords: intelligent control
zbMATH Keywords: Parallel Coordinates
zbMATH Keywords: convex sets
zbMATH Keywords: hstars
zbMATH Keywords: Convexity algorithms
zbMATH Keywords: Computational Geometry
Wikidata QID: Q56483863
MaRDI profile type: Publication
cites work: Divide and conquer for linear expected time
cites work: A Hidden-Line Algorithm for Hyperspace
cites work: Q5822835
cites work: Q5813619
cites work: Q5547252
DBLP publication ID: journals/vc/Inselberg85
description: scientific article; zbMATH DE number 4000871