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Abstract
At passive sounding the sources of observable radiation are often distributed casually. In this case the intensity of radiation is main information parameter for the decision of an inverse problem. To reconstruction 2D distribution of own radiation sources density on the basis of angular distribution registration of received radiation intensity the decomposition of known and unknown functions in Fourier series on circular harmonics is applied. In case of poor absorption the problem is reduced to equation of Abel type with Chebyshev polynomials in its kernel. New method is offered, which is based on exponential variable replacement. In this case the initial equation is resulted to the convolution equation that admit the decision by use fast algorithms. Efficiency and stability of the decision have been proved by results of initiation modeling. Opportunity of use of the decision for diagnostics of atmosphere radiating pollution and forest fire moving is shown.
© (1997) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Vladimir P. Yakubov and Dmitry V. Losev "Decision of 2D passive-tomography problem", Proc. SPIE 3171, Computational, Experimental, and Numerical Methods for Solving Ill-Posed Inverse Imaging Problems: Medical and Nonmedical Applications, (9 December 1997); https://doi.org/10.1117/12.284717
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