The Perception of Motion and Structure in Structure-from-motion: Comparisons of Affine and Euclidean Formulations

I investigated the discrimination of rigid from nonrigid structure and the perception of affine stretches along the line of sight [ Norman and Todd (1993). Perception and Psychophysics, 53, pp. 279–291]. Investigations of performance at discriminating rigid from nonrigid structure showed that perfor...

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Bibliographic Details
Published in:Vision research (Oxford) Vol. 37; no. 4; pp. 447 - 466
Main Author: POLLICK, FRANK E.
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 01.02.1997
Elsevier Science
Subjects:
Algorithms
Biological and medical sciences
Depth – KDE – Structure-from-motion
Form Perception - physiology
Fundamental and applied biological sciences. Psychology
Humans
Models, Biological
Motion
Motion Perception - physiology
Perception
Psychology. Psychoanalysis. Psychiatry
Psychology. Psychophysiology
Space Perception - physiology
Vision
Motion
Human
Euclidean geometry
Visual stimulus
Three dimensional structure
Stimulus movement
Vision
Perception
Stiffness
Mathematical model
Affine transformation
Algorithm
ISSN:0042-6989, 1878-5646
Online Access:Get full text
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Summary:I investigated the discrimination of rigid from nonrigid structure and the perception of affine stretches along the line of sight [ Norman and Todd (1993). Perception and Psychophysics, 53, pp. 279–291]. Investigations of performance at discriminating rigid from nonrigid structure showed that performance improved when number of views and amount of simulated three-dimensional nonrigidity increased. Investigations of rotations about the vertical which include affine stretches along the line of sight compared Euclidean interpretations of affine-stretching stimuli to human perception. These Euclidean interpretations were obtained from a simple algorithm which recovered structure and motion from this limited class of stimuli under the assumption that distances to the axis of rotation did not change. The algorithm predicted that stretches along the line of sight would be perceived as nearly rigid and have variable angular velocity. These predictions were supported by subjects' reports of occurrences of nonrigidity and minima of angular velocity. The Euclidean algorithm also provided measures of nonrigidity and motion coherence, and experimental results were consistent with a prediction of when perception of nonrigidity would be independent of perception of coherence. The results are discussed relative to the advantages and shortcomings of both the affine and Euclidean approaches to structure-from-motion. Copyright © 1997 Elsevier Science Ltd.
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ISSN:0042-6989
1878-5646
DOI:10.1016/S0042-6989(96)00188-5