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Perceptual Coherence : Hearing and Seeing

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Perception of Motion 213<br />

Braddick (1974) originally proposed the small-distance versus longdistance<br />

distinction. Braddick <strong>and</strong> others used white-<strong>and</strong>-black r<strong>and</strong>om dot<br />

patterns similar to those used originally by Julesz to study texture differences.<br />

Typically, the r<strong>and</strong>om dot patterns were built from square matrices<br />

in which 50% of the cells were filled with black dots (e.g., 288 dots in a<br />

24 × 24 matrix). Two such patterns are alternated at the same spatial position:<br />

One dot pattern contains the original array of dots, <strong>and</strong> the second dot<br />

pattern is modified in some way.<br />

1. The dots in the cells of one small region of the array are reversed by<br />

chance. Thus, each black cell would have a 0.50 probability of shifting<br />

to white, <strong>and</strong> each white cell would have a .50 probability of<br />

shifting to black. If two such patterns are presented sequentially, the<br />

small region seems to flicker or glitter, but there is no perception of<br />

movement.<br />

2. The dots in the cells of one small region are shifted by a certain<br />

amount (a 4 × 3 rectangle is shifted five columns to the right). The<br />

black-<strong>and</strong>-white pattern in the rectangle remains fixed <strong>and</strong> overwrites<br />

the original pattern in the target columns. This leaves the cells in the<br />

original rectangle empty, <strong>and</strong> they are filled r<strong>and</strong>omly. Here, if the<br />

two patterns are presented sequentially, the small rectangle seems to<br />

move to the right. The visual system must be performing a global<br />

comparison between the two arrays, because the rectangle cannot be<br />

seen in either static view.<br />

3. The dots in the cells of one small region are shifted by a certain<br />

amount (as in number 2) <strong>and</strong> then the black <strong>and</strong> white cells are reversed.<br />

If the two patterns are presented sequentially, the perceived<br />

movement is from the second pattern to the first; the perception is the<br />

reverse of the actual temporal sequence.<br />

All three of these possibilities are shown in figure 5.8.<br />

To see that a small region has been shifted laterally (or vertically) as in<br />

numbers 2 or 3, the correspondences in the dot patterning within the region<br />

must be recognized in the two different arrays. The perceptual problem<br />

is that after the shift of the small region, there may be several similar regions<br />

in the array that can act as incorrect matches. We can conceptualize this process<br />

as having two steps. The first step isolates the local correspondences<br />

between the dots in the two arrays: Each cell in the first array has a list of all<br />

the possible brightness matches in the second array. Somehow, the indeterminacy<br />

of these matches must be resolved in order to see motion. The second<br />

step searches for sets of connected cells with identical correspondences<br />

(e.g., correspondences equal to two steps to the right) <strong>and</strong> groups those cells<br />

to create the perception of coherent movement. This grouping process will<br />

inevitably misallocate cells, <strong>and</strong> there are many examples in which a true

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