A theoretical framework is presented in which windowed Fourier phase (
WFP) is introduced as the primary matching primitive. Zero-crossings a
nd peaks correspond to special values of the phase. The WFP is quasi-l
inear and dense; and its spatial period and slope are controlled by th
e scale. This framework has the following important characteristics: 1
) matching primitives are available almost everywhere to convey dense
disparity information in every channel, either coarse or fine; 2) the
false-target problem is significantly mitigated; 3) the matching is ea
sier, uniform, and can be performed by a network suitable for parallel
computer architecture; 4) the matching is fast since very few iterati
ons are needed. In fact, the WFP is so informative that the original s
ignal can be uniquely determined up to a multiplicative constant by th
e WFP in any channel. The use of phase as matching primitive is also s
upported by some existing psychophysical and neurophysiological studie
s. An implementation of the proposed theory has shown good results fro
m synthesized and natural images.