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Summary: Shape and the stereo correspondence problem
Abhijit S. Ogale and Yiannis Aloimonos
Computer Vision Laboratory, Institute for Advanced Computer Studies
Dept. of Computer Science, University of Maryland, College Park, MD 20742, USA
Abstract
We examine the implications of shape on the process
of finding dense correspondence and half-occlusions for a
stereo pair of images. The desired property of the dispar-
ity map is that it should be a piecewise continuous function
which is consistent with the images and which has the min-
imum number of discontinuities. To zeroth order, piecewise
continuity becomes piecewise constancy. Using this ap-
proximation, we first discuss an approach for dealing with
such a fronto-parallel shapeless world, and the problems
involved therein. We then introduce horizontal and verti-
cal slant to create a first order approximation to piecewise
continuity. In particular, we emphasize the following ge-
ometric fact: a horizontally slanted surface (i.e., having
depth variation in the direction of the separation of the two
cameras) will appear horizontally stretched in one image
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