Abstract

Observers routinely perceive 3D pictorial spaces when looking at 2D photographs. If an object is photographed in different poses, the photographs are different and so are the pictorial spaces. Observers can easily identify corresponding points in photographs of a single object in different poses. This is perhaps surprising, since no algorithm can presently do this except when extreme constraints are met. In this study we find correspondences and subsequently probe the pictorial surface attitude at corresponding points. Since we can fit a surface at a dens field of surface attitude samples, we obtain two surfaces in pictorial space that correspond to the two poses of the object. We explore the relation between these two surfaces. In Euclidean space the surfaces of an object in different poses are related through an isometry. Since pictorial space has a non-Euclidian structure the empirical correspondence is not an isometry though. The results allow us to draw conclusions concerning the geometrical structure of pictorial space. The results are of practical importance because many scenes are routinely documented through a sequence of photographs taken from different vantage points.© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

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