Epipolar correspondence

The epipolar parametrisation is derived from the epipolar geometry in stereo-vision. It leads to a planar correspondence between two successive occluding contours as shown in figure 3. Hence, two points p₁ and p₂ on two successive occluding contours are epipolar correspondents if they both belong to the epipolar plane defined by the two camera centres and one of the points. Such correspondences between points on the spatio-temporal surface generally induce correspondences between points on the surface ${\cal S}$. For a continuous motion of the camera, curves of constant s on the spatio-temporal surface induce curves on the surface ${\cal S}$. These curves are called epipolar curves.

  

Figure 3: Two epipolar correspondents p₁ and p₂.