Color image watermarking based on a fast structure-preserving algorithm of quaternion singular value decomposition

Zhang, Mingcui; Ding, Wenxv; Liu, Ying; Sun, Jianhua; Liu, Zhihong

doi:10.1016/j.sigpro.2023.108971

Cited by 23 publications

(13 citation statements)

References 18 publications

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“…Example 5.2 Select the 512×512 color Lenna image and the 32×32 color image in Example 5.1 as the host image and the watermark image, respectively. In the absence of attacks, test the trends of PSNR values of the watermarked host image and NC values of the extracted watermark image with variables T and ρ 1 , ρ 2 by three methods, respectively, which the proposed method and the methods in the paper [13] and [19], respectively. Then choose a suitable variable from each method to test the impact of several common attacks on the three algorithms.…”

Section: Experimental Analysismentioning

confidence: 99%

“…Chen [12] introduced a blind watermarking algorithm by means of the real structurepreserving quaternion QR decomposition, which can be more resistant to attack for brightness adjustment and Poisson noise while reducing the computational complexity. In 2023, M. Zhang [13] introduced a color watermarking technique based on the complex structure-preserving quaternion singular value decomposition algorithm, and proved the effectiveness of the algorithm through experiments.…”

Section: Introductionmentioning

confidence: 99%

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A blind color watermarking technique based on quaternion complex structure-preserving Qr decomposition

Guo

2024

EJMCA

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The color image blind watermarking technique is widely used in the field of digital image processing and security and can maintain the copyright of images and guarantee their authenticity. In order to maintain the intrinsic connection between the three color channels of color images, using quaternion algebra to solve the color image problems often achieves better results. This paper proposes a complex structure-preserving algorithm for solving the QR decomposition of quaternion matrices, which has better computational efficiency compared with previous methods. This paper also applies the proposed algorithm to the color image blind watermarking technique, and experiments prove that the method has better invisibility and better robustness to salt and pepper noise, etc. The technique will have potential applications in the field of color image watermarking.

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Section: Experimental Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A blind color watermarking technique based on quaternion complex structure-preserving Qr decomposition

Guo

2024

EJMCA

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“…A watermarking embedding and extracting scheme proposed by [30] uses a dual transform domain, i.e., SVD and DCT, followed by a chaos-based encryption to avoid the false positive problems. In addition to watermark embedding, the author [31] presents a color image watermarking procedure centered on a fast structure-preserving algorithm of quaternion singular value decomposition (QSVD). This scheme is effective in invisibility and confidentiality, and is robust to certain image processing attacks.…”

Section: Related Workmentioning

confidence: 99%

“…Only embeds fixed size gray level watermark images. [31] This scheme presents a color image watermarking procedure centered on a fast structure-preserving algorithm of quaternion singular value decomposition (QSVD).…”

Section: Referencementioning

confidence: 99%

Protection-Enhanced Watermarking Scheme Combined With Non-Linear Systems

et al. 2023

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“…A quaternion matrix is a generalization of a complex matrix in quaternion algebra. By now, quaternions and quaternion matrices have a wide range of applications in signal processing [2][3][4], machine learning [5,6], and particularly in color image processing [7][8][9][10][11]. By encoding the red, green, and blue channel pixel values of a color image on the three imaginary parts of quaternion matrices, this method perfectly fits the color image structure and effectively preserves the inter-relationship between the color channels [12].…”

Section: Introductionmentioning

confidence: 99%

Efficient quaternion CUR method for low-rank approximation to quaternion matrix

Wu,

Kou,

Cai

et al. 2024

Preprint

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The low-rank quaternion matrix approximation has been successfully applied in many applications involving signal processing and color image processing. However, the cost of quaternion models for generating low-rank quaternion matrix approximation is sometimes considerable due to the computation of the quaternion singular value decomposition (QSVD), which limits their application to real large-scale data. To address this deficiency, an efficient quaternion matrix CUR (QMCUR) method for low-rank approximation is suggested , which provides significant acceleration in color image processing. We first explore the QMCUR approximation method, which uses actual columns and rows of the given quaternion matrix, instead of the costly QSVD. Additionally, two different sampling strategies are used to sample the above-selected columns and rows. Then, the perturbation analysis is performed on the QMCUR approximation of noisy versions of low-rank quater-nion matrices. Extensive experiments on both synthetic and real data further reveal the superiority of the proposed algorithm compared with other algorithms for getting low-rank approximation, in terms of both efficiency and accuracy.

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Color image watermarking based on a fast structure-preserving algorithm of quaternion singular value decomposition

Cited by 23 publications

References 18 publications

A blind color watermarking technique based on quaternion complex structure-preserving Qr decomposition

A blind color watermarking technique based on quaternion complex structure-preserving Qr decomposition

Protection-Enhanced Watermarking Scheme Combined With Non-Linear Systems

Efficient quaternion CUR method for low-rank approximation to quaternion matrix

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