The horoptor and active cyclotorsion

When a particular 3D point is fixated by a robotic stereo system different portions of the world are brought into interocular alignment. This region is known as the horoptor. Purposeful modifications to the binocular geometry can be used to bring different regions of three-space closer to the horoptor: camera pan and tilt define the rough structure of the horoptor, while camera torsion can be used to change its local shape. Theoretical and empirical results suggest that for binocular vision tasks: 1) it is important to understand the region of three space that contains the horoptor curve; and 2) it is possible to control this shape in an active way so as to simplify certain binocular tasks.