An optimal incoherent filter is proposed for distortion-invariant corr
elation. The optical transfer function (OTF) of the correlator is spec
ified as a realizable phase-only term which is optimized by the simula
ted annealing algorithm. The phase-only OTF is used in image recogniti
on to produce a sharp peak response and can be generated by dual-filte
r synthesis. Image recognition is achieved by subtracting two spatiall
y incoherent correlation outputs produced from a positive and negative
filters with an input image. Computer simulations show that the propo
sed correlator can yield a sharp correlation peak with excellent disto
rtion tolerance.