Fully invariant complex Logarithmic r-theta map for Hybrid Optical Neural Network filter for object recognition within cluttered scenes

We combine the complex logarithmic r-theta mapping of a space-variant imaging sensor with the hybrid optical neural network filter for achieving an overall out-of-plane rotation, in-plane rotation, scale and projection invariance and is resistance to clutter. The resulted filter is called the complex logarithmic r-theta mapping for the hybrid optical neural network (L-HONN) filter. For restoring the shift invariance of the input images of the objects, lost by applying to the images the logarithmic mapping, we include in the filter's design a window-based unit. We assess the performance and record the results of the L-HONN filter with cluttered object images.