Inference of three-dimensional structure from weak perspective projections based on pairwise comparisons of images

Leonid L. Kontsevich

doi:10.1117/12.60414

30 June 1992 Inference of three-dimensional structure from weak perspective projections based on pairwise comparisons of images

Leonid L. Kontsevich

Author Affiliations +

Proceedings Volume 1669, Stereoscopic Displays and Applications III; (1992) https://doi.org/10.1117/12.60414
Event: SPIE/IS&T 1992 Symposium on Electronic Imaging: Science and Technology, 1992, San Jose, CA, United States

Abstract

A new method is proposed for extraction of 3-D rigid depth interpretations from pairwise comparisons of weak perspective projections. The method provides a simple criterion to test for the correctness of correspondence for a pair of images; the method also provides a description of a one-parameter family of interpretations for each pair of images that satisfies this criterion. We show that if at least three projections of a volumetric object are known, then a 3-D rigid interpretation can be inferred from pairwise comparisons between any one of these images and other images in the set. The 3-D interpretation is derived from the intersection of corresponding one-parameter families. The method provides a uniform computational basis for different processes of depth perception (for example, depth-from-stereo and depth-from- motion). In fact, a single mechanism for these processes in the human visual system could be sufficient. The proposed method does not require information about relative positions of eye(s) or camera(s) for different projections, but this information can be easily incorporated. This method can be applied for pairwise comparison within a single image. If any non-trivial correspondence is found it means that several views of the same object are present in the same image or that the object with volumetric symmetry is presented within the image. Results of pairwise comparison within a single image may also be considered in the process of depth reconstruction. If the object possesses two or more symmetries, its depth can be reconstructed from single image. Symmetry as a source of structural information is widely used by the visual system.

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Leonid L. Kontsevich "Inference of three-dimensional structure from weak perspective projections based on pairwise comparisons of images", Proc. SPIE 1669, Stereoscopic Displays and Applications III, (30 June 1992); https://doi.org/10.1117/12.60414

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KEYWORDS

3D image processing

Visual system

Stereoscopic displays

Cameras

Image processing

Superposition

3D vision

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