We introduce the chiral domain of an arrangement of cameras $\mathcal{ A} = \{ A_1,\dots, A_m\}$ which is the subset of $\mathbb{ P}^3$ visible in $\mathcal{ A}$. It generalizes the classical definition of chirality to include all of $\mathbb{ P}^3$ and offers a unifying framework for studying multiview chirality. We give an algebraic description of the chiral domain which allows us to define and describe a chiral version of Triggs' joint image. We then use the chiral domain to re-derive and extend prior results on chirality due to Hartley.

Categories: math.AG cs.CV

The Chiral Domain of a Camera Arrangement