AGCVOct 17, 2017

Projective reconstruction in algebraic vision

arXiv:1710.06205v36 citations
Originality Synthesis-oriented
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This work addresses theoretical foundations in algebraic vision, offering an incremental extension to existing reconstruction theorems.

The paper tackles the geometry of rational maps from projective spaces to products of lower-dimensional projective spaces induced by linear projections, providing an algebro-geometric variant of the projective reconstruction theorem by Hartley and Schaffalitzky.

We discuss the geometry of rational maps from a projective space of an arbitrary dimension to the product of projective spaces of lower dimensions induced by linear projections. In particular, we give an algebro-geometric variant of the projective reconstruction theorem by Hartley and Schaffalitzky [HS09].

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