Typical Structure-from-Motion systems spend major computational effort on geometric verification. Geometric verification recovers the epipolar geometry of two views for a moving camera by estimating a fundamental or essential matrix. The essential matrix describes the relative geometry for two views up to an unknown scale. Two-view triangulation or multi-model estimation approaches can reveal t...

We analyze the geometry of the two-slit camera and come to two conclusions. First, we show that the definition given by et al. [9] makes sense only if the two slits are not intersecting. Secondly, we prove that the complete image from a two-slit camera cannot be obtained as an intersection of the rays of the two-slit camera with a plane in space. Motivated by the quest for a unified representat...

The triple factorization of a group $G$ has been studied recently showing that $G=ABA$ for some proper subgroups $A$ and $B$ of $G$, the definition of rank-two geometry and rank-two coset geometry which is closely related to the triple factorization was defined and calculated for abelian groups. In this paper we study two infinite classes of non-abelian finite groups $D_{2n}$ and $PSL(2,2^{n})$...