Hyperdimensional Data Analysis Using Parallel Coordinates1

This paper presents the basic results for using the parallel coordinate representation as a high dimensional data analysis tool. Several alternatives are reviewed. The basic algorithm for parallel coordinates is laid out and a discussion of its properties as a projective transformation are shown. The several of the duality results are discussed along with their interpretations as data analysis tools. A discussion of permutations of the parallel coordinate axes is given and some examples are given. Some extensions of the parallel coordinate idea are given. The paper closes with a discussion of implementation and some of our experiences are relayed. 1This research was supported by the Air Force Office of Scientific Research under grant number AFOSR-870179, by the Army Research Office under contract number DAAL03-87-K-0087 and by the National Science Foundation under grant number DMS-8701931. Hyperdimensional Data Analysis Using Parallel Coordinates