Download Digital Holography and Digital Image Processing: Principles, by Leonid Yaroslavsky PDF

By Leonid Yaroslavsky

ISBN-10: 1441953973

ISBN-13: 9781441953971

Electronic holography and electronic snapshot processing are twins born by means of computing device period. They percentage foundation, theoretical base, equipment and algorithms. the current booklet describes those universal basics ideas, tools and algorithms together with snapshot and hologram digitization, info compression, electronic transforms and effective computational algorithms, statistical and Monte-Carlo tools, photo recovery and enhancement, photo reconstruction in tomography and electronic holography, discrete sign resampling and photo geometrical differences, exact measurements and trustworthy objective localization in photos, recording and reconstruction of laptop generated holograms, adaptive and nonlinear filters for sensor sign perfecting and photograph recovery and enhancement. The ebook combines thought, seriously illustrated useful tools and effective computational algorithms and is written for senior-level undergraduate and graduate scholars, researchers and engineers in optics, photonics, opto-electronics and digital engineering.

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Extra resources for Digital Holography and Digital Image Processing: Principles, Methods, Algorithms

Sample text

Let also hologram ("output") plane is situated at distance D from the object plane. , where ').. is the coherent obtain a phase delay 21t ~D 2 + (x - f radiation wavelength. For the sake of simplicity, we will disregard the effect of wave polarization on their superposition that is relevant for electromagnetic radiation and is not for acoustic waves. Then one can conclude that the point spread function of free space wave propagation is Input plane x --_ Output plane a{x )exp[ i2rr [ ~D2 +{x- fY A II f D Figure 2-11.

21;-1 ................................ ;.. ;1 o -------~""'~:(; ':(\T''''"~---------iI 40 o 20 x 60 -40 -20 j;-: .. 1_ 60 Figure 2-16. 39 in Eq. l7a yields: a (f) = }a(ln z)exp(i21tf In z) dz z o = }a(ln z)zi21t/-t dz . l(f)= fa (Z)Zi2lt 00 f -t dz. 41) 49 2. Optical signals and trans/arms referred to as the Mellin trans/orm. 1O): /l(/) = kfa (kzXkzt n/- 1tfi = ki2n/ fa (kzXzt 00 00 o 0 n/- 1 tfi = ki2n/ fl(/). 42) Therefore, Mellin spectrum of a signal, by its absolute value, is invariant to scaling signal coordinate.

The latter reconstruct a "conjugate" imaginary object wave front. The process of recording holograms is a good example of a two-unit imaging system of Fig. 3. Point-wise nonlinear transformation unit in this process describes recording interference pattern while linear transformation unit refers to propagation of light from the object to the recording medium. 33 2. Optical signals and transfarms Consider 1-D model of free space wave propagation (Fig. 2-11). Let complex amplitude of wave front of a monochromatic radiation in coordinate x at the object ('input") plane is a(x).

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