Trajectory Mapping (``TM''):
A New Non-Metric Scaling Technique

Whitman Richards
Department of Brain & Cognitive Sciences, Massachusetts Institute of Technology, 79 Amherst St., E10-114, Cambridge, MA 02139

Jan J. Koenderink
Biophysics Research Institute, University of Utrecht, Utrecht, The Netherlands

Abstract: Trajectory Mapping ``TM'' is a new scaling technique designed to recover the parameterizations, axes, and paths used to traverse a feature space. Unlike Multidimensional Scaling (MDS), there is no assumption that the space is homogenous or metric. Although some metric ordering information is obtained with TM, the main output is the feature parameterizations that partition the given domain of object samples into different categories. Following an introductory example, the technique is further illustrated using first a set of colors and then a collection of textures taken from Brodatz (1966).