Geometry of Two-Slit Camera

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 representation of various cameras by simple geometrical objects, we give a new definition of linear oblique cameras as those which comprise all real lines incident with some non-real line and show that it is equivalent with the definition we gave earlier. We also show that no single line neither in the real projective space nor in its coplexification, can be used to define analogously a two-slit camera.