Configuration space representation in parallel coordinatesBy means of a system of parallel coordinates, a nonprojective mapping from R exp N to R squared is obtained for any positive integer N. In this way multivariate data and relations can be represented in the Euclidean plane (embedded in the projective plane). Basically, R squared with Cartesian coordinates is augmented by N parallel axes, one for each variable. The N joint variables of a robotic device can be represented graphically by using parallel coordinates. It is pointed out that some properties of the relation are better perceived visually from the parallel coordinate representation, and that new algorithms and data structures can be obtained from this representation. The main features of parallel coordinates are described, and an example is presented of their use for configuration space representation of a mechanical arm (where Cartesian coordinates cannot be used).
Document ID
19890066072
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Fiorini, Paolo (California Institute of Technology Jet Propulsion Laboratory, Pasadena, United States)
Inselberg, Alfred (IBM Scientific Center Los Angeles, CA, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Subject Category
Theoretical Mathematics
Meeting Information
Meeting: 1989 IEEE International Conference on Robotics and Automation