Ll. Kontsevich, PAIRWISE COMPARISON TECHNIQUE - A SIMPLE SOLUTION FOR DEPTH RECONSTRUCTION, Journal of the Optical Society of America. A: Optics and image science, 10(6), 1993, pp. 1129-1135
Citations number
31
Categorie Soggetti
Optics
Journal title
Journal of the Optical Society of America. A: Optics and image science
A new technique dramatically simplifies the analysis of matching and d
epth reconstruction by extracting three-dimensional rigid depth interp
retation from pairwise comparisons of weak perspective projections. Th
is method provides a simple linear criterion for testing the correctne
ss 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 thr
ee projections of a volumetric object are known, then a three-dimensio
nal (3D) rigid interpretation can be inferred from pairwise comparison
s between any one of these images and other images in the set. The 3D
interpretation is derived from the intersection of corresponding one-p
arameter families. The method provides a common computational basis fo
r different processes of depth perception, for example, depth-from-ste
reo and depth-from-motion. Thus, a single mechanism for these processe
s in the human visual system would be sufficient. The proposed method
does not require information about relative positions of eye(s) or cam
era(s) for different projections, but this information can be easily i
ncorporated. The method can be applied for pairwise comparison within
a single image. If any nontrivial correspondence is found, then severa
l views of the same object are present in the same image. This happens
, for example, in views of volumetrically symmetric objects. Symmetry
facilitates depth reconstruction; if an object possesses two or more s
ymmetries, its depth can be reconstructed from a single image.