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METHOD FOR REMOVING NOISE ON RAST IMAGES BASED ON FULL VARIATION
METHOD FOR REMOVING NOISE ON RAST IMAGES BASED ON FULL VARIATION
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机译：基于全变差的噪声消除方法
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摘要
FIELD: physics.SUBSTANCE: restore the original image of u(x,y), (x,y)∈Rfor a specified noisy image ν(x,y), calculating the total variation of the brightness function, formulating the problem of minimizing the total variation of the brightness function with a restriction on the noise intensity. Considering this constraint on the basis of a linear combination of a mixture of Gaussian and Poisson noise, reducing the obtained optimisation problem with the restriction to the optimisation problem without restriction in the form of the Lagrange functional, constructing the Euler-Lagrange equation for solving the unconditional optimisation problem, building a numerical scheme for solving this equation, looking for the best parameters, comparing deviations of values of brightness functions of two images on two consecutive steps of iteration with a specified accuracy ε to check the stopping of the iteration process, determining the optimal parameters λλ, μ, σ, at each step of the iteration to eliminate noise on real images.EFFECT: effective elimination of both Gaussian and Poisson noise alone, and a linear combination of these noises.4 tbl, 2 dwg
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