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Consistency of silhouettes and their duals

Abstract : Silhouettes provide rich information on three-dimensional shape, since the intersection of the associated visual cones generates the " visual hull " , which encloses and approximates the original shape. However, not all silhouettes can actually be projections of the same object in space: this simple observation has implications in object recognition and multi-view segmentation, and has been (often implicitly) used as a basis for camera calibration. In this paper, we investigate the conditions for multiple silhouettes, or more generally arbitrary closed image sets, to be geometrically " consistent ". We present this notion as a natural generalization of traditional multi-view geometry, which deals with consistency for points. After discussing some general results, we present a " dual " formulation for consistency, that gives conditions for a family of planar sets to be sections of the same object. Finally, we introduce a more general notion of silhouette " compatibility " under partial knowledge of the camera projections, and point out some possible directions for future research.
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https://hal.archives-ouvertes.fr/hal-01287180
Contributor : Matthew Trager <>
Submitted on : Friday, March 11, 2016 - 11:46:45 PM
Last modification on : Thursday, April 2, 2020 - 1:28:58 PM
Document(s) archivé(s) le : Sunday, November 13, 2016 - 4:33:39 PM

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  • HAL Id : hal-01287180, version 1

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Matthew Trager, Martial Hebert, Jean Ponce. Consistency of silhouettes and their duals. 2016. ⟨hal-01287180v1⟩

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