Is perceptual space inherently non-Euclidean?
Identifieur interne : 001446 ( Ncbi/Merge ); précédent : 001445; suivant : 001447Is perceptual space inherently non-Euclidean?
Auteurs : Julian Martin Fernandez ; Bart FarellSource :
- Journal of mathematical psychology [ 0022-2496 ] ; 2009.
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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<front><div type="abstract" xml:lang="en"><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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<contrib-group><contrib contrib-type="author"><name><surname>Fernandez</surname>
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<aff id="A1">Institute for Sensory Research, Syracuse University, Syracuse, NY, 13244, USA</aff>
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<author-notes><corresp id="FN1"><label>*</label>
Corresponding author. Address: Institute for Sensory Research, Syracuse University, 621 Skytop Rd, Syracuse, NY 13244, USA. E-mail: <email>julian_fernandez@isr.syr.edu</email>
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<volume>53</volume>
<issue>2</issue>
<fpage>86</fpage>
<lpage>91</lpage>
<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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