基于彩色图像Tetrolet变换的频数质心零水印算法

doi:10.12305/j.issn.1001-506X.2023.01.06

Abstract

Abstract:

In order to solve the problem that the transparency of traditional digital watermarking algorithms decreases with the increase of embedding strength, many zero watermarking algorithms have been proposed. However, most algorithms are not robust and stable, or are designed based on grayscale images. In this paper, a frequency centroid zero watermarking algorithm based on color image Tetrolet transform is proposed. The algorithm first extracts the luminance component of the color carrier image in the YCbCr space, then carries out the Tetrolet transform to obtain its low-frequency coefficients. Then through the block non-negative matrix decomposition, it uses the method of calculating the frequency centroid to construct the feature matrix. The watermark information is encoded by Polar code in turn, and the interleaving matrix is constructed by two-dimensional interleaving. Finally, the zero watermark is generated by exclusive OR (XOR) operation between the interleaved square matrix and the feature matrix containing watermark information. Simulation results show that the zero watermarking algorithm can effectively resist non-geometric attacks, geometric attacks and combination attacks, and the watermark extraction normalized coeffecient (NC) value is more than 0.9, with strong robustness, stability, and good practicability.

Key words: zero watermark, color image, Tetrolet transform, frequency centroid, robustness

CLC Number:

TP309.7

Tianqi ZHANG, Shaopeng YE, Jianxing LIU, Haojun BAI. Frequency centroid zero watermarking algorithm based on Tetrolet transform of color image[J]. Systems Engineering and Electronics, 2023, 45(1): 41-48.

Figures/Tables 13

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载体图像	Lena	Baboon	Pepper	Sailboat	Tree
Lena	1.000 0	0.612 8	0.574 6	0.664 3	0.586 7
Baboon	0.612 8	1.000 0	0.624 4	0.592 6	0.563 4
Pepper	0.574 6	0.624 4	1.000 0	0.612 9	0.574 6
Sailboat	0.664 3	0.592 6	0.612 9	1.000 0	0.685 4
Tree	0.586 7	0.563 4	0.574 6	0.685 4	1.000 0

攻击类型	攻击参数	Lena	Baboon	Pepper	Sailboat
椒盐噪声	0.1	0.995 6	0.997 8	1.000 0	0.997 4
椒盐噪声	0.5	0.981 4	0.981 3	0.986 1	0.989 1
高斯噪声	0.1	0.993 0	0.986 1	0.988 7	0.999 0
高斯噪声	0.5	0.935 3	0.944 1	0.934 9	0.948 6
泊松噪声	0.1	0.997 0	0.991 8	0.988 3	0.986 7
泊松噪声	0.5	0.970 1	0.978 9	0.972 4	0.979 7
均值滤波	3×3	1.000 0	0.999 6	0.999 8	1.000 0
均值滤波	9×9	0.998 6	0.994 8	0.997 1	0.997 2
维纳滤波	3×3	1.000 0	0.999 7	0.999 9	0.999 9
维纳滤波	9×9	0.998 3	0.996 8	0.995 6	0.997 3
低通滤波	3×3	0.999 5	0.999 7	1.000 0	0.999 9
低通滤波	9×9	0.990 4	0.987 5	0.986 3	0.986 6
JPEG压缩	10	0.997 7	0.990 2	0.997 6	0.997 5
	30	0.998 9	0.999 4	0.998 6	0.999 4
	50	1.000 0	1.000 0	1.000 0	1.000 0

攻击类型	攻击参数	Lena	Baboon	Pepper	Sailboat
旋转/(°)	1	1.000 0	1.000 0	1.000 0	1.000 0
	5	0.968 7	0.959 7	0.960 7	0.967 3
	10	0.937 4	0.929 8	0.940 2	0.935 8
剪切	左上剪切1/4	0.922 3	0.927 4	0.921 4	0.930 1
	中心剪切1/4	0.921 4	0.931 4	0.932 9	0.931 8
	右下剪切1/4	0.920 8	0.929 7	0.928 8	0.929 2
平移	下移1行	1.000 0	1.000 0	1.000 0	1.000 0
	下移10行	0.983 4	0.979 6	0.987 4	0.988 5
	右移20列	0.920 2	0.919 9	0.923 5	0.914 1

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Frequency centroid zero watermarking algorithm based on Tetrolet transform of color image

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