STEREOSCOPIC MATCHING USING PERIODICAL PATTERNS A GEOMETRICAL ANALYSIS OF FALSE CORRESPONDENCES

A regular distribution of elements lined in rows and at the same dista nce from the observer, produce several images perceived as a consequen ce of the ambiguity of the matching between the features of the images in both eyes. This is known as the << wall paper illusion >>. We calc ulated the positions of the images perceived in front of and behind th e stereogram plane, assuming that this position depends on three param eters: the horizontal distance between the repetitive elements of the stereogram, the distance from the observer to the stereogram and the o bserver's interpupilar distance. The analytic expression we have deduc ed has been verified experimentally. We found a good agreement between theoretical and experimental data. Only for large image orders, discr epancies can be significant. A mathematical relationship between the p erceived depth and those parameters may allow the study of perceived i mages produced by more complex stereograms and to test the performance of neural network models.