Algebraic Varieties in Multiple View Geometry

In this paper we will investigate the different algebraic varieties and ideals that can be generated from multiple view geometry with uncalibrated cameras. The natural descriptor, Vn, is the image of \(\mathcal{P}^3\) in \(\mathcal{P}^2 \times \mathcal{P}^2 \times \cdot \cdot \cdot \times \mathcal{P}^2\) under n different projections. However, we will show that Vn is not a variety.

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