PMID: 2102998Jan 1, 1990Paper

Projective invariance and picture perception

Perception
K K Niall, J Macnamara

Abstract

Four experiments test the assumption that, in the visual perception of pictures, observers have reliable and direct access to the equivalence of shapes in projective geometry. The assumption is that perception of projective equivalence is the basis of shape constancy ('the projective thesis'). Observers matched or reproduced abstract planar shapes under conditions of rotation in the picture plane, and pictured rotation in depth. Departure from projective equivalence was assessed in each study by measuring the planar analogue of cross ratio. Projective equivalence was not found to be perceived uniformly where Euclidean equivalence was not judged uniformly, either in recognition tasks or in production tasks. When the projective thesis is put to a suitably general test, confidence in the thesis is undermined.

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Citations

Nov 1, 1995·Perception & Psychophysics·J T Enns, S Coren
Jun 1, 1997·Psychonomic Bulletin & Review·J WagemansL Van Gool
Nov 30, 1999·Journal of Mathematical Psychology·K C Chen, M t Chen
Nov 1, 1992·Acta Psychologica·K K Niall
Jan 23, 1999·Acta Psychologica·K K Niall
Jul 19, 2006·Journal of Experimental Psychology. General·Igor Juricevic, John M Kennedy
Jan 1, 1994·Perception·L J Van GoolJ Wagemans
Oct 3, 2020·Journal of Vision·Akihito Maruya, Qasim Zaidi
Jul 11, 2018·Proceedings of the National Academy of Sciences of the United States of America·Erin KochQasim Zaidi

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