Topics on optical and digital image processing

Abstract

This book is considered useful for graduate students of optical and computer science. The information is basically dependent upon the Fourier transformations and convolution operations treated in the basic textbook of J.W. Goodmann “Introduction to Fourier optics and holography. The 1st two chapters are concentrated on the computation of numerical fringes produced in the case of two beams and multiple-beam interferences. The treatment is based on coherent illumination of the interferometer where the two points of illumination represented by two shifted Dirac-Delta distributions are considered in case of two-beam interference. The Fourier transform is computed to give two inclined plane waves which interfere in the Fourier plane corresponding to the two shifted points. Following the same analysis Fourier technique, multiple beam interference is realized from the manipulation of more than two points. Chapter 3 is devoted to scanning holographic imaging based on two-pupil heterodyne detection. In the original standard system proposed by Poon, one of the pupils is a delta function , and the other a constant. In the present chapter, a different set of pupils: one pupil still being a delta function and the other being a linear function of <> is proposed. The simulated reconstructed images using the above technique of heterodyne detection are investigated. Chapter 4 treats the optical correlation of speckle images and the surface roughness of some rough objects. Chapters 5, 6, and 7 is a numerical simulation of some hyper-resolving apertures that are used in microscopic imaging. The modulated speckle images corresponding to the cited apertures are investigated and the autocorrelation images of the reconstructed apertures are obtained. In Chapter 8, some deformed elliptic, comet, and cardiac apertures are considered in the formation of speckle images using randomly distributed objects. Also, a three-quarter aperture is used and its autocorrelation image is shown distinguishable from the other apertures. Chapter 9 treats different models of sharp elliptic apertures in the form of a plus symbol, a snowflake, and airplane shapes. The corresponding speckle images and the reconstructed autocorrelations of the models are investigated.