A Fundamental Theorem of Stereo?
Tech. Report, CMU-RI-TR-01-07, Robotics Institute, Carnegie Mellon University, June, 2001
Abstract
The complete set of measurements that could ever be used by a passive 3D vision algorithm is the plenoptic function or light-field. We give a concise characterization of when the light-field of a Lambertian scene uniquely determines its shape and, conversely, when the shape is inherently ambiguous. In particular, we show that stereo computed from the light-field is ambiguous if and only if the scene is radiating light of a constant intensity (and color, etc) over an extended region.
BibTeX
@techreport{Baker-2001-8247,author = {Simon Baker and Terence Sim and Takeo Kanade},
title = {A Fundamental Theorem of Stereo?},
year = {2001},
month = {June},
institute = {Carnegie Mellon University},
address = {Pittsburgh, PA},
number = {CMU-RI-TR-01-07},
keywords = {Stereo, inherent ambiguities, uniqueness, light-fields, the plenoptic function},
}
Copyright notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.