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Measuring 3D Point Configurations in Pictorial Space

Authors: Wagemans, Johan; van Doorn, Andrea J.; Koenderink, Jan;

Measuring 3D Point Configurations in Pictorial Space

Abstract

We propose a novel method to probe the depth structure of the pictorial space evoked by paintings. The method involves an exocentric pointing paradigm that allows one to find the slope of the geodesic connection between any pair of points in pictorial space. Since the locations of the points in the picture plane are known, this immediately yields the depth difference between the points. A set of depth differences between all pairs of points from an N-point ( N > 2) configuration then yields the configuration in depth up to an arbitrary depth offset. Since an N-point configuration implies N( N-1) (ordered) pairs, the number of observations typically far exceeds the number of inferred depths. This yields a powerful check on the geometrical consistency of the results. We report that the remaining inconsistencies are fully accounted for by the spread encountered in repeated observations. This implies that the concept of ‘pictorial space’ indeed has an empirical significance. The method is analyzed and empirically verified in considerable detail. We report large quantitative interobserver differences, though the results of all observers agree modulo a certain affine transformation that describes the basic cue ambiguities. This is expected on the basis of a formal analysis of monocular optical structure. The method will prove useful in a variety of potential applications.

Countries
Netherlands, Belgium
Keywords

visual field, geometry, SURFACE, 1702 Cognitive Sciences, Social Sciences, depth perception, distance perception, art perception, visual space, visual field, geometry, Psychology, distance perception, SPATIAL LAYOUT, depth perception, PERCEPTION, Psychology, Experimental, 700, PERCEIVED ORIENTATION, ANGLE, RELIEF, BF1-990, visual space, 1701 Psychology, 5202 Biological psychology, ROTATION, 5204 Cognitive and computational psychology, art perception, SHAPE, Research Article

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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