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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2008 Volume 9, Issue 1, Pages 1–9 (Mi vmp411)

Вычислительные методы и приложения

Iterative restoration of Radon-space sinogram disturbances for the steganography problem

V. V. Pickalova, D. I. Kazantsevb

a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk

Abstract: An iterative algorithm of the inverse Radon transform for disturbed data is proposed. The algorithm is based on the Neumann series decomposition of the inverse operator. Numerical simulation of disturbance variations in the Radon space is discussed. The steganography problem when an image is hidden in another one is studied as a possible application of this algorithm.

Keywords: tomography algorithms, sinogram disturbance, steganography, iteration algorithms, Neumann decomposition, Radon transform.

UDC: 519.633.9



© Steklov Math. Inst. of RAS, 2025