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Toward a Probabilistc Theory of Occupancy


Wednesday, Nov. 21st -- Kyros Kutulakos


Abstract:

I will be discussing some recent work on how to infer probabilistic occupancy representations from a set of N noisy photographs.  Based on formal probabilistic definitions of visibility, occupancy, emptiness, and photo-consistency, our development yields a formulation of the Photo Hull  Distribution, the tightest probabilistic bound on the shape of the true scene that can be inferred from the photos.  I will show how to (1) express this distribution in terms of image measurements, (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.  I will also show some experimental results on complex scenes.

This is joint work with Rahul Bhotika (U. Rochester) and David Fleet (Xerox PARC)