The Chiral Domain of a Camera Arrangement
This work provides a theoretical framework for studying multiview chirality in computer vision, but it appears incremental as it builds on existing concepts.
The paper tackles the problem of generalizing chirality to multiview camera arrangements by introducing the chiral domain, which describes the subset of projective space visible in an arrangement, and uses it to re-derive and extend prior results on chirality.
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.