Relative 3D Positioning and 3D Convex Hull Computation from a Weakly Calibrated Stereo Pair - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1994

Relative 3D Positioning and 3D Convex Hull Computation from a Weakly Calibrated Stereo Pair

Olivier Faugeras

Abstract

Assuming that we only know the epipolar geometry of a pair of stereo images, encoded in the so-called fundamental matrix, we show that some useful and intuitive three-dimensional information, such as relative positions of points and planes and 3D convex hulls, can be computed in the images without performing any three-dimensional reconstruction. We introduce the notion of visibility, which allows deriving those properties. Results on real data are shown.

Domains

Other [cs.OH]
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Dates and versions

inria-00074328 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00074328 , version 1

Cite

Luc Robert, Olivier Faugeras. Relative 3D Positioning and 3D Convex Hull Computation from a Weakly Calibrated Stereo Pair. [Research Report] RR-2349, INRIA. 1994. ⟨inria-00074328⟩
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