Horopter
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The horopter is a 3-dimensional curve that can be defined as the set of points in space for which the light falls on corresponding areas in the two retinas, that is, anatomically identical points. Along this curve, no stereopsis can be detected by the eye.
The projection of the horopter in the horizontal plane across the fovea is the Vieth-Muller circle, a circle that touches the focal points of both eyes and the fixating point.
In computer vision, the horopter is defined as the curve of points in 3D space having identical coordinates projections with respect to two cameras with the same intrinsic parameters. It is given generally by a twisted cubic, i.e., a curve of the form x = x(θ),y = y(θ),z = z(θ) where x(θ),y(θ),z(θ) are three independent third-degree polynomials. In some degenerate configurations, the horopter reduces to a line plus a circle.
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