Analysis of figure-ground representation and simultaneous contrast / White's effect in terms of gamut relativity.
Represented as points in blackness/whiteness space, the grey targets are vectorially decomposed into pairs of points representing the occluding grey figures and occluded black or white bars.
The points belonging to the background forms (black or white stripes) are projections of the grey targets onto constraint lines (falling on the blackness and whiteness axes themselves in this example) given by the backgrounds themselves.
The vector decomposition can be thought of as a type of Newton's third law, whereby the completion of the black or white stripes behind the grey occluded must be accompanied by an equal and opposite "force" that adds whiteness or blackness.
The decomposition has a probabilistic interpretation, whereby the linearity of the grey targets and surround black or white stripes dictates the most likely occluded background form.
One can thus interpret both simultaneous contrast and White's effect as manifestations of the processes by which the visual system represents figure-ground relationships.
This leaves us in the remarkable position of being able to write a simple conservation law for a key aspect of human visual perception.
My previous work has hinted at such a law but believe this result allows use to state the general form of the law.
It remains to discover how to derive this law directly from a principle of least action, but I would suggest it should be fairly straightforward.
=> More informations about this toot | More toots from TonyVladusich@mathstodon.xyz
@wlumley gets it.
=> More informations about this toot | More toots from TonyVladusich@mathstodon.xyz
text/geminiThis content has been proxied by September (3851b).