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Is perceptual space inherently non-Euclidean?

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Is perceptual space inherently non-Euclidean?

Auteurs : Julian Martin Fernandez ; Bart Farell

Source :

RBID : PMC:2702877

Abstract

It is often assumed that the space we perceive is Euclidean, although this idea has been challenged by many authors. Here we show that, if spatial cues are combined as described by Maximum Likelihood Estimation, Bayesian, or equivalent models, as appears to be the case, then Euclidean geometry cannot describe our perceptual experience. Rather, our perceptual spatial structure would be better described as belonging to an arbitrarily curved Riemannian space.


Url:
DOI: 10.1016/j.jmp.2008.12.006
PubMed: 20161280
PubMed Central: 2702877

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PMC:2702877

Le document en format XML

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Corresponding author. Address: Institute for Sensory Research, Syracuse University, 621 Skytop Rd, Syracuse, NY 13244, USA. E-mail:
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<abstract>
<p id="P1">It is often assumed that the space we perceive is Euclidean, although this idea has been challenged by many authors. Here we show that, if spatial cues are combined as described by Maximum Likelihood Estimation, Bayesian, or equivalent models, as appears to be the case, then Euclidean geometry cannot describe our perceptual experience. Rather, our perceptual spatial structure would be better described as belonging to an arbitrarily curved Riemannian space.</p>
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