On the minimal relative motion principle - Lateral displacement of a contracting bar

Bas Rokers; Zili Liu

doi:10.1016/j.jmp.2004.03.005

On the minimal relative motion principle - Lateral displacement of a contracting bar

Bas Rokers, Zili Liu

Psychology

Research output: Contribution to journal › Article › peer-review

Abstract

Xausa, Beghi, and Zanforlin (J. Math. Psychol. 45(4) (2001) 635) provide an account of perceptual organization based on their 'minimal relative motion' principle. They claim that this principle can account for the percept generated by a contracting bar that is simultaneously translating laterally. We critique the mathematical analysis provided in the aforementioned paper. We conclude that the 'minimal relative motion' principle, in the form presented, cannot adequately explain the percept reported by observers.

Original language	English (US)
Pages (from-to)	292-295
Number of pages	4
Journal	Journal of Mathematical Psychology
Volume	48
Issue number	4
DOIs	https://doi.org/10.1016/j.jmp.2004.03.005
State	Published - Aug 2004

Keywords

Motion minimization
Perceptual organization
Rigidity assumption
Stereokinetic effect
Structure from motion

ASJC Scopus subject areas

Psychology(all)
Applied Mathematics

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10.1016/j.jmp.2004.03.005

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title = "On the minimal relative motion principle - Lateral displacement of a contracting bar",

abstract = "Xausa, Beghi, and Zanforlin (J. Math. Psychol. 45(4) (2001) 635) provide an account of perceptual organization based on their 'minimal relative motion' principle. They claim that this principle can account for the percept generated by a contracting bar that is simultaneously translating laterally. We critique the mathematical analysis provided in the aforementioned paper. We conclude that the 'minimal relative motion' principle, in the form presented, cannot adequately explain the percept reported by observers.",

keywords = "Motion minimization, Perceptual organization, Rigidity assumption, Stereokinetic effect, Structure from motion",

author = "Bas Rokers and Zili Liu",

note = "Funding Information: We thank Tom Wickens for helpful discussions. We thank E. Xausa, L. Beghi, M. Zanforlin, an anonymous reviewer and the editor, R. Suck, for their comments and suggestions. ZL was supported by NSF Grant IBN9817979 and NEI Grant EY14113.",

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AU - Liu, Zili

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AB - Xausa, Beghi, and Zanforlin (J. Math. Psychol. 45(4) (2001) 635) provide an account of perceptual organization based on their 'minimal relative motion' principle. They claim that this principle can account for the percept generated by a contracting bar that is simultaneously translating laterally. We critique the mathematical analysis provided in the aforementioned paper. We conclude that the 'minimal relative motion' principle, in the form presented, cannot adequately explain the percept reported by observers.

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KW - Perceptual organization

KW - Rigidity assumption

KW - Stereokinetic effect

KW - Structure from motion

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On the minimal relative motion principle - Lateral displacement of a contracting bar

Abstract

Keywords

ASJC Scopus subject areas

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