Vol. 9, issue 03, article # 6

pdf Chernyavskii S. M. Reconstruction of an optical signal by the convex analysis methods. // Atmospheric and oceanic optics. 1996. V. 9. No. 03. P. 214-218.
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Two inverse problems of optics are examined by the convex analysis methods: reconstruction of a phase component of an optical signal from the known module and from the module of its Fourier transform within a given region as well as the reconstruction of incoherent source from its noise disturbed image. The solution of each problem is reduced to seeking a boundary point of a convex set with a given extreme property.