Optical HAAR Wavelet Transforms using Computer Generated Holography.

摘要

This research introduces an optical implementation of the continuous wavelet transform to filter images. The wavelet transform is modeled as a correlation process and is implemented with a Vander Lugt correlator. The orthonormal basis set used is composed of two one-dimensional Haar functions and a two-dimensional Haar function. Each wavelet, as well as its first two dyadic scalings, is implemented with computer generated holography. The Interferogram method, which represents a function only in terms of its phase, is used to encode the wavelet functions. The results are imaged onto a CCD array and captured using a framegrabber. The optical results are compared to digital simulation. The results show that an optical implementation of the continuous wavelet transform was performed and that the results compared favorably to digital simulation.... Wavelets, Holography, Optical correlators.