Grassmann-Cayley Algebra for Modeling Systems of Cameras and the Algebraic Equations of the Manifold of Trifocal Tensors - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports Year : 1997

Grassmann-Cayley Algebra for Modeling Systems of Cameras and the Algebraic Equations of the Manifold of Trifocal Tensors

Olivier Faugeras
Théodore Papadopoulo

Abstract

We show how to use the Grassmann-Cayley algebra to model systems of one, two and three cameras. We start with a brief introduction of the Grassmann-Cayley or double algebra and proceed to demonstrate its use for modeling systems of cameras. In the case of three cameras, we give a new interpretation of the trifocal tensors and study in detail some of the constraints that they satisfy. In particular we prove that simple subsets of those constraints characterize the trifocal tensors, in other words, we give the algebraic equations of the manifold of trifocal tensors.
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Dates and versions

inria-00073464 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073464 , version 1

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Olivier Faugeras, Théodore Papadopoulo. Grassmann-Cayley Algebra for Modeling Systems of Cameras and the Algebraic Equations of the Manifold of Trifocal Tensors. RR-3225, INRIA. 1997. ⟨inria-00073464⟩
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