Theoretical role of square wavelet analysis in stereopsis and binocular rivalry: a mathematical model and computer simulation.

To determine stereopsis, a mathematical model and computer simulation specify that square wavelet coefficients be independently estimated for the images in each eye. Then, by comparing these independently determined coefficients, the model theorizes that the visual system both identifies those parts of the two images which lie across corresponding points and identifies those parts of the two images which lie across noncorresponding or disparate points. Given the latter occurrence, the retinal disparity is evaluated as being either stereopsis or binocular rivalry. If stereopsis is indicated, the wavelet coefficients provide a reference plane by which the depth of a disparate area is located either nearer than or more distant than the reference plane. In the model also it is proposed that the determination of depth with respect to the reference plane provides a signal for vergence of the eyes. If binocular rivalry is indicated, the model's computer simulation identifies the locus of the background fringes associated with binocular rivalry. In sum, it seems theoretically tenable that stereopsis or binocular rivalry occurs as a consequence of the comparison of one eye's wavelet coefficients with those of the other eye.