Wednesday, January 12, 2011

Scale invariant vision

Neuroscientists need to solve the problem of scale invariance with a variable rate channel.  The farther away the object is, the slower the channel rate.  What does that mean? We step our eye around the object at a slower rate when the object is farther away.  Right? Farther away objects are noisier, so the information rate slows.

Biological vision has more to do with eye movements than retinas, the retina's purpose is to phase lock the stepping function.  But the object bounded function comes from the eye movements. This came up because somewhere along the road the neuroscience took another fork, the wrong one.  The brain is a muscle, its ability to recognize objects is connected to the number of steps needs to walk around the object.

Like this one.
When the brain is led to believe that the saccades it is generating are too large or too small (by an experimental manipulation in which a saccade-target steps backwards or forwards contingent on the eye movement made to acquire it), saccade amplitude gradually decreases (or increases), an adaptation (also termed gain adaptation) widely seen as a simple form of motor learning, possibly driven by an effort to correct visual error.

I bet a little searching discovers that eye movements follow the spiral pattern outward from the object center.
Like this?  Well, not quite. 

Under the principle of minimum redundancy, the minimum number of bounds are created to partition the scene. We don't remember the object images, we remember the bounded functions.
All of this is from Wiki:
"Records of eye movements show that the observer's attention is usually held only by certain elements of the picture.... Eye movement reflects the human thought processes; so the observer's thought may be followed to some extent from records of eye movement (the thought accompanying the examination of the particular object). It is easy to determine from these records which elements attract the observer's eye (and, consequently, his thought), in what order, and how often." [8]

Me:
The viewer checks his eye movement via phase locking to elements in the picture. Doing so calibrates the bounded function, sets the curvature at that point. It is the resulting arrangement of interlocking moving eye 'counters' that the viewer remembers.

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