We use the ''magic TV'' network with the maximum a posteriori (MAP) cr
iterion to restore a space-dependent blurred image. This network provi
des a unique topological invariance mechanism that facilitates the ide
ntification of such space-dependent blur. Instead of using parametric
modeling of the underlying blurred image, we use this mechanism to acc
omplish the restoration. The restoration is reached by a self-organizi
ng evolution in the network, where the weight matrices are adapted to
approximate the blur functions. The MAP criterion is used to indicate
the goodness of the approximation and to direct the evolution of the n
etwork. (C) 1998 SPIE and IS&T. [S1017-9909(98)01001-0].