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QSVD-QFT based Approach to Color Image De-Noising
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A new algorithm for color image de-noising based on quaternion singular value decomposition (QSVD) and quaternion Fourier transform (QFT) is proposed in this paper. The proposed approach is based on the quaternion representation of color image pixels. De-noising is performed in the domain of singular values and singular vectors of a quaternion matrix representing the color image. The de-noising is based on eliminating changes in quaternion singular values and singular vectors caused by additive Gaussian white noise. The experimental results prove the effectiveness of the proposed method.
Keywords
Quaternions, Quaternion Matrix, Quaternion Singular Value Decomposition, Quaternion Fourier Transform.
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