A group-theoretic analysis of mental space isometries in form recognition
type: Item
instance of: scholarly article
title: A group-theoretic analysis of mental space isometries in form recognition
zbMATH Open document ID: 0784.92030
author: Kathleen C. Chen
author: Mou-Ta Chen
published in: Journal of Mathematical Psychology
publication date: 1994-01-02T00:00:00Z
review text: This paper reports on experiments on the discrimination of three- dimensional forms. More specifically, the subjects were asked to determine whether two isometric shapes could be rotated into one another. The findings confirm earlier work in the area that suggest that each normal subgroup of the group of isometries of three-space determines a particular frame for describing the shape. A major conclusion of the paper is that the ``internal model'' embodies important structural features of the three-dimensional object that are not manifest in the two-dimensional projections on the retina.
Mathematics Subject Classification ID: 91E30
Mathematics Subject Classification ID: 91E45
zbMATH DE Number: 445211
zbMATH Keywords: reaction time
zbMATH Keywords: perception
zbMATH Keywords: internal model
zbMATH Keywords: discrimination of three- dimensional forms
zbMATH Keywords: isometric shapes
zbMATH Keywords: normal subgroup
zbMATH Keywords: group of isometries of three-space
zbMATH Keywords: two-dimensional projections
zbMATH Keywords: retina
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
full work available at URL: jmps.1993.1024
OpenAlex ID: W1979667399
DOI: 10.1006/JMPS.1993.1024
description: scientific article; zbMATH DE number 445211