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• W2055053456 abstract "In this paper, we consider the model of quaternion signal degradation when the signal is convoluted and an additive noise is added. The classical model of such a model leads to the solution of the optimal Wiener filter, where the optimality with respect to the mean square error. The characteristic of this filter can be found in the frequency domain by using the Fourier transform. For quaternion signals, the inverse problem is complicated by the fact that the quaternion arithmetic is not commutative. The quaternion Fourier transform does not map the convolution to the operation of multiplication. In this paper, we analyze the linear model of the signal and image degradation with an additive independent noise and the optimal filtration of the signal and images in the frequency domain and in the quaternion space." @default.
• W2055053456 created "2016-06-24" @default.
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• W2055053456 date "2015-03-11" @default.
• W2055053456 modified "2023-10-16" @default.
• W2055053456 title "Optimal color image restoration: Wiener filter and quaternion Fourier transform" @default.
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• W2055053456 doi "https://doi.org/10.1117/12.2083518" @default.
• W2055053456 hasPublicationYear "2015" @default.
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