A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor Decomposition
To protect the copyright of the color image, a color image watermarking scheme based on quaternion discrete Fourier transform (QDFT) and tensor decomposition (TD) is presented. Specifically, the cover image is partitioned into non-overlapping blocks, and then QDFT is performed on each image block. T...
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doaj-c0bb7023da2845f8b027d77b51dafe4e2021-06-01T01:32:10ZengMDPI AGApplied Sciences2076-34172021-05-01115006500610.3390/app11115006A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor DecompositionLi Li0Rui Bai1Jianfeng Lu2Shanqing Zhang3Ching-Chun Chang4School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou 310018, ChinaDepartment of Computer Science, University of Warwick, Coventry CV4 7AL, UKTo protect the copyright of the color image, a color image watermarking scheme based on quaternion discrete Fourier transform (QDFT) and tensor decomposition (TD) is presented. Specifically, the cover image is partitioned into non-overlapping blocks, and then QDFT is performed on each image block. Then, the three imaginary frequency components of QDFT are used to construct a third-order tensor. The third-order tensor is decomposed by Tucker decomposition and generates a core tensor. Finally, an improved odd–even quantization technique is employed to embed a watermark in the core tensor. Moreover, pseudo-Zernike moments and multiple output least squares support vector regression (MLS–SVR) network model are used for geometric distortion correction in the watermark extraction stage. The scheme utilizes the inherent correlations among the three RGB channels of a color image, and spreads the watermark into the three channels. The experimental results indicate that the proposed scheme has better fidelity and stronger robustness for common image-processing and geometric attacks, can effectively resist each color channel exchange attack. Compared with the existing schemes, the presented scheme achieves better performance.https://www.mdpi.com/2076-3417/11/11/5006watermarkquaternion discrete Fourier transform (QDFT)tensor decomposition(TD)pseudo-Zernike momentsMLS–SVR |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Li Li Rui Bai Jianfeng Lu Shanqing Zhang Ching-Chun Chang |
spellingShingle |
Li Li Rui Bai Jianfeng Lu Shanqing Zhang Ching-Chun Chang A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor Decomposition Applied Sciences watermark quaternion discrete Fourier transform (QDFT) tensor decomposition(TD) pseudo-Zernike moments MLS–SVR |
author_facet |
Li Li Rui Bai Jianfeng Lu Shanqing Zhang Ching-Chun Chang |
author_sort |
Li Li |
title |
A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor Decomposition |
title_short |
A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor Decomposition |
title_full |
A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor Decomposition |
title_fullStr |
A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor Decomposition |
title_full_unstemmed |
A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor Decomposition |
title_sort |
watermarking scheme for color image using quaternion discrete fourier transform and tensor decomposition |
publisher |
MDPI AG |
series |
Applied Sciences |
issn |
2076-3417 |
publishDate |
2021-05-01 |
description |
To protect the copyright of the color image, a color image watermarking scheme based on quaternion discrete Fourier transform (QDFT) and tensor decomposition (TD) is presented. Specifically, the cover image is partitioned into non-overlapping blocks, and then QDFT is performed on each image block. Then, the three imaginary frequency components of QDFT are used to construct a third-order tensor. The third-order tensor is decomposed by Tucker decomposition and generates a core tensor. Finally, an improved odd–even quantization technique is employed to embed a watermark in the core tensor. Moreover, pseudo-Zernike moments and multiple output least squares support vector regression (MLS–SVR) network model are used for geometric distortion correction in the watermark extraction stage. The scheme utilizes the inherent correlations among the three RGB channels of a color image, and spreads the watermark into the three channels. The experimental results indicate that the proposed scheme has better fidelity and stronger robustness for common image-processing and geometric attacks, can effectively resist each color channel exchange attack. Compared with the existing schemes, the presented scheme achieves better performance. |
topic |
watermark quaternion discrete Fourier transform (QDFT) tensor decomposition(TD) pseudo-Zernike moments MLS–SVR |
url |
https://www.mdpi.com/2076-3417/11/11/5006 |
work_keys_str_mv |
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