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A Probablistic Theory of Occupancy and Emptiness: |
@Technical Report{Bhotika:Prob Theory of Occupancy & Emptiness:TR01,
author = {Rahul Bhotika and David J. Fleet and Kiriakos N. Kutulakos},
title = {A Probablistic Theory of Occupancy and Emptiness:},
institution = {Dept. of Computer Science, University of Rochester},
year = {2001},
number = {753},
month = {december},
pages = {0--29},
abstract = {This paper addresses the inference of 3D shape from a set of n noisy photos. We derive a probabilistic framework to specify what one can infer about 3D shape for arbitrarily-shaped Lambertian scenes and arbitrary viewpoint configurations. Based on formal definitions of visibility, occupancy, emptiness, and photo_consistency, the theoretical development yields a formalation of the Photo Hull Distribution, the tightest probabilistic bound on the scene's true shape that can be inferred from the photos. We show how to (1) express this distribution in terms of image measurement, (2) represent it compactly by assigning an occupancy probability to each point in space, and (3) design a stochastic reconstruction algorithm that draws fair samples(i.e. 3D photo hulls) from it. We also show experimental results on two complex scenes. },
}