A generalized perceptual space
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Updated: Oct 10, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
Published on: March 1, 2022
V Lakshminarayanan1, R Parthasarathy, K K DeValois
1School of Optometry, University of Missouri, St Louis 63121-4499, USA. vengu@psiphi.umsl.edu
Abstract:
Based upon experimental results on certain visual spatial discrimination tasks, we have developed a formalism for a non-Euclidian perceptual space. In this formalism, the transformation from real to perceptual space is given by a generalized covariant tensor. The concept of parallel transport of vectors in a curved space is used to prove that closed loops in real space imply closed loops with the same orientation in the perceptual space also.
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