The Possibility Image Transform and Logical Convolution

Abstract

It is now well-appreciated that an image represents a probability law on position for incoming photons.1,2 A recent mutation of probability theory is "possibility" theory.3 It departs from probability theory in the following basic ways: If A and B are two disjoint events, the probabilities P(A or B), P(A and B) obey while the corresponding possibilities obey Operation max (a,b) = the larger of a,b, while min (a,b) = the smaller of a,b.