Title
Multidimensional lines I: representation
Abstract
Based on a system of parallel coordinates, a methodology for visualizing multivariate relations (i.e., subsets of R(N)) by mapping them uniquely into indexed subsets of R(2) was introduced earlier. Here, the foundations for the representation mapping in general are given, and the representation of lines in R(N) by N - 1 planar points indexed by a pair of distinct integers from {0, 1, 2,..., N} in R(2) is obtained. This yields construction and display algorithms for the representation of lines, points on lines, changes of parameterization, and line transformations.
Year
DOI
Venue
1994
10.1137/S0036139991216891
SIAM Journal of Applied Mathematics
Keywords
Field
DocType
multidimensional line,computational geometry,parallel coordinates
Integer,Discrete mathematics,Parametrization,Multivariate statistics,Computational geometry,Parallel coordinates,Planar,Mathematics,Multivariate visualization
Journal
Volume
Issue
ISSN
54
2
0036-1399
Citations 
PageRank 
References 
21
1.98
6
Authors
2
Name
Order
Citations
PageRank
Alfred Inselberg11230165.81
Bernard Dimsdale257760.82