Optical implementation of a convolution kernel by using a Joint Transform Correlator to perform image processing operation

In this work we propose a generalization of the convolution kernel capable of realizing image processing operations as edge enhancement, phase visualization, image restoration, by using a joint transform correlator. The proposal convolution kernel is designed according to the operation to be performed. We present numerical simulations for each convolution kernel, which performs the corresponding operation. On the other hand, we propose an implementation using a Hybrid Opto-Digital Joint Transform Correlator, which has the advantage of avoiding alignment difficulties presented by classical Fourier processors.