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8 October 2005 Transmission of information about high spatial frequencies of optical object on its low frequencies for limited channel capacity of optoelectronics system
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Abstract
The method of transmission of information about high spatial frequencies of optical object on low frequencies is developed. The method is based on a statistically optimal solution of the Fredholm's integral equation of the first kind, which describes the general process of formation of signals and images. The given solution allows to use transmission of several images of the same object, which differ by conditions of formation (the kind of illumination, modulation, etc.), through limited channel capacity of system. The method is mathematically justified and suitable for processing linearly generated images registered by optoelectronics system on the basis of a focal-plane array. Here we introduce the quantitative information-theoretical performance evaluation of optoelectronics system as the minimum probability estimation of restoration error to exceed of specified value. Its values depend on the geometrical shape and spectral photosensitivity of pixels, fill factor of focal-plane array and point spread function of system. For several optoelectronics systems of image registration of the same object this performance depends on the point spread function of each system. Given information performance allows to optimize the theoretical determination of requirements of images formation for transmission. Numerous simulations and physical experiments that confirm the possibility of transmission of information about high spatial frequencies are carried out. The experiments show that our method makes possible the super-resolution restoration of images, which are heavy blurred by light scattering and the diffraction limits of optical system.
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Dmitry Dovnar and Igor Zakharov "Transmission of information about high spatial frequencies of optical object on its low frequencies for limited channel capacity of optoelectronics system", Proc. SPIE 5948, Photonics Applications in Industry and Research IV, 59481U (8 October 2005); https://doi.org/10.1117/12.622101
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