Realization of optical image differentiation by means of wavelet transform and power spectrum nonlinear processing

Optical image differentiation operations by means of the wavelet transform (WT) are given in this paper. We detail the advantages of Haar's function and its various types as differentiation wavelets over other functions. We give the appropriate type and parameters of the functions they can demonstrate the best effects of image differentiation. In this paper two types of power spectrum nonlinear processing of joint Fourier transform correlator in hybrid system are also reported. Both the processing of fractional power of Fourier spectrum and the filtering of the zero order spectrum have some special properties, respectively. Combined the Haar's wavelet transform with the power spectrum nonlinear processing, we demonstrate the differentiation of the upper right or down left of optical iamge.