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9 June 2005 Mesooptics and circular Radon transform
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Abstract
We consider integral transforms that can describe ideal imaging optical systems with circular impulse response. The integral transform, referred to as the Circular Radon transform (CRT), is considered as an average taken along all circumferences of fixed radius on the plane. The CRT can be optically realized using a Fourier correlator with amplitude filter, with its transmittance function being proportional to the Bessel function of zero order. Also, a mesooptics transform (MT) is considered that can be optically realized using a Fourier correlator with axicon in the spatial-frequency plane. An ability of applying the CRT to realize traditional Radon transform optically has been tested.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
V. V. Kotlyar and A. A. Kovalev "Mesooptics and circular Radon transform", Proc. SPIE 5772, Saratov Fall Meeting 2004: Coherent Optics of Ordered and Random Media V, (9 June 2005); https://doi.org/10.1117/12.636781
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