1962/06/01 by Roger N. Shepard · 6 citations
Computer Science · Mathematics · Psychology · #Advanced Statistical Modeling Techniques #Morphological variations and asymmetry #Mental Health Research Topics #Multidimensional scaling #Similarity (geometry) #Euclidean distance #Set (abstract data type) #Metric (unit) #Monotonic function #Scaling #Euclidean space #Function (biology) #Basis (linear algebra) #Mathematics #Computer science #Cartesian coordinate system #Euclidean geometry #Metric space #Algorithm #Theoretical computer science #Artificial intelligence #Discrete mathematics #Statistics #Pure mathematics #Mathematical analysis #Image (mathematics) #Geometry
paper · doi:10.1007/bf02289630
openalex publication_date 1962/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A computer program is described that is designed to reconstruct the metric configuration of a set of points in Euclidean space on the basis of essentially nonmetric information about that configuration. A minimum set of Cartesian coordinates for the points is determined when the only available information specifies for each pair of those points—not the distance between them—but some unknown, fixed monotonic function of that distance. The program is proposed as a tool for reductively analyzing several types of psychological data, particularly measures of interstimulus similarity or confusability, by making explicit the multidimensional structure underlying such data.