When is the shape of a scene unique given its light-field: A fundamental theorem of 3D vision?
Baker, S. Sim, T. Kanade, T.
Baker, S.
Kanade, T.
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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.
Keywords
3D shape reconstruction, Light-fields, Shape-from-silhouette, Stereo, The plenoptic function, Uniqueness
Source Title
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Date
2003
DOI
10.1109/TPAMI.2003.1159949
Type
Article