Digital Image Processing

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QSVD-QFT based Approach to Color Image De-Noising


Affiliations
1 Department of Electronics and Communication Engineering, Madanapalle Institute of Technology & Science, Madanapalle-517325, Andhra Pradesh, India
2 Department of Electronics and Communication Engineering, RGM College of Engineering & Technology, Nandyal-518501, Andhra Pradesh, India
     

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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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  • QSVD-QFT based Approach to Color Image De-Noising

Abstract Views: 226  |  PDF Views: 1

Authors

B. D. Venkatramana Reddy
Department of Electronics and Communication Engineering, Madanapalle Institute of Technology & Science, Madanapalle-517325, Andhra Pradesh, India
T. Jayachandra Prasad
Department of Electronics and Communication Engineering, RGM College of Engineering & Technology, Nandyal-518501, Andhra Pradesh, India

Abstract


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.