Paper Info
Title
Parallel coordinates: a tool for visualizing multi-dimensional geometry
Abstract
A methodology for visualizing analytic and synthetic geometry in RN is presented. It is based on a system of parallel coordinates which induces a non-projective mapping between N-Dimensional and 2-Dimensional sets. Hypersurfaces are represented by their planar images which have some geometrical properties analogous to the properties of the hypersurface that they represent. A point ← → line duality when N = 2 generalizes to lines and hyperplanes enabling the representation of polyhedra in RN. The representation of a class of convex and non-convex hypersurfaces is discussed together with an algorithm for constructing and displaying any interior point. The display shows some local properties of the hypersurface and provides information on the point's proximity to the boundary. Applications to Air Traffic Control, Robotics, Computer Vision, Computational Geometry, Statistics, Instrumentation and other areas are discussed.
Year
DOI
Venue
1990
10.1109/VISUAL.1990.146402
IEEE Visualization 2003
Keywords
Field
DocType
multi-dimensional geometry,local property,non-projective mapping,statistical graphics,computational geometry,visualization,interior point,geometrical property,non-convex hypersurfaces,parallel coordinates,line duality,air traffic control,computer vision,2-dimensional set,computer graphics,statistics,multivariate data,hypersurface,computer science,2 dimensional,robot kinematics,visual analytics,application software
Computer science,Polyhedron,Computational geometry,Theoretical computer science,Hypersurface,Duality (optimization),Parallel coordinates,Artificial intelligence,Hyperplane,Geometry,Computer vision,Synthetic geometry,Interior point method
Conference
ISBN
Citations 
PageRank 
0-8186-2083-8
531
54.48
References 
Authors
4
2
Search Limit
100531
Name
Order
Citations
PageRank
Alfred Inselberg11230165.81
Bernard Dimsdale257760.82