Color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal–tent map
To overcome the drawbacks of the existing sinusoidal map and tent map, this paper proposes the design of a sinusoidal–tent (ST) map. The test results indicate that the new chaotic system exhibits more significant advantages in chaos control. Compared with the sinusoidal map and tent map, the propose...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-02-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1315765/full |
| _version_ | 1797333615668887552 |
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| author | Ping-Ping Zeng Xi Zhou De-Fei Zhong Su-Hua Chen Li-Hua Gong |
| author_facet | Ping-Ping Zeng Xi Zhou De-Fei Zhong Su-Hua Chen Li-Hua Gong |
| author_sort | Ping-Ping Zeng |
| collection | DOAJ |
| description | To overcome the drawbacks of the existing sinusoidal map and tent map, this paper proposes the design of a sinusoidal–tent (ST) map. The test results indicate that the new chaotic system exhibits more significant advantages in chaos control. Compared with the sinusoidal map and tent map, the proposed sinusoidal–tent map performs better in terms of bifurcation diagram and Lyapunov exponents. The trajectories of the sinusoidal–tent map can occupy all the phase planes over (0,4), while those of the two classic maps only occupy a small phase space, and the Lyapunov exponents of the ST map are all positive within the range of control parameters, higher than those of seed maps. Simultaneously, a novel quantum scrambling operation is devised based on the sinusoidal–tent map to avoid the periodicity of the quantum Arnold scrambling method. Initially, two chaotic sequences are generated to scramble the pixel positions of the watermark image, further enhancing the security of the watermarking algorithm. Subsequently, the host image is processed by the quantum discrete cosine transform, and finally, the scrambled watermark image is inserted into the medium-frequency band of the transformed host image, ensuring the invisibility of the watermarking. According to the simulation results, the quantum watermarking algorithm has excellent invisibility and robustness. |
| first_indexed | 2024-03-08T08:06:34Z |
| format | Article |
| id | doaj.art-6b0b980437294ddd9cf53d58d4a59287 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-08T08:06:34Z |
| publishDate | 2024-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-6b0b980437294ddd9cf53d58d4a592872024-02-02T10:31:25ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-02-011110.3389/fphy.2023.13157651315765Color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal–tent mapPing-Ping Zeng0Xi Zhou1De-Fei Zhong2Su-Hua Chen3Li-Hua Gong4College of Science and Technology, Nanchang University, Jiujiang, ChinaDepartment of Electronic Information Engineering, Nanchang University, Nanchang, ChinaDepartment of Electronic Information Engineering, Nanchang University, Nanchang, ChinaDepartment of Electronic Information Engineering, Nanchang University, Nanchang, ChinaSchool of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, ChinaTo overcome the drawbacks of the existing sinusoidal map and tent map, this paper proposes the design of a sinusoidal–tent (ST) map. The test results indicate that the new chaotic system exhibits more significant advantages in chaos control. Compared with the sinusoidal map and tent map, the proposed sinusoidal–tent map performs better in terms of bifurcation diagram and Lyapunov exponents. The trajectories of the sinusoidal–tent map can occupy all the phase planes over (0,4), while those of the two classic maps only occupy a small phase space, and the Lyapunov exponents of the ST map are all positive within the range of control parameters, higher than those of seed maps. Simultaneously, a novel quantum scrambling operation is devised based on the sinusoidal–tent map to avoid the periodicity of the quantum Arnold scrambling method. Initially, two chaotic sequences are generated to scramble the pixel positions of the watermark image, further enhancing the security of the watermarking algorithm. Subsequently, the host image is processed by the quantum discrete cosine transform, and finally, the scrambled watermark image is inserted into the medium-frequency band of the transformed host image, ensuring the invisibility of the watermarking. According to the simulation results, the quantum watermarking algorithm has excellent invisibility and robustness.https://www.frontiersin.org/articles/10.3389/fphy.2023.1315765/fullquantum watermarkingquantum discrete cosine transformsinusoidal–tent mapquantum color image representationimage copyright |
| spellingShingle | Ping-Ping Zeng Xi Zhou De-Fei Zhong Su-Hua Chen Li-Hua Gong Color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal–tent map Frontiers in Physics quantum watermarking quantum discrete cosine transform sinusoidal–tent map quantum color image representation image copyright |
| title | Color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal–tent map |
| title_full | Color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal–tent map |
| title_fullStr | Color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal–tent map |
| title_full_unstemmed | Color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal–tent map |
| title_short | Color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal–tent map |
| title_sort | color watermarking algorithm combining the quantum discrete cosine transform with the sinusoidal tent map |
| topic | quantum watermarking quantum discrete cosine transform sinusoidal–tent map quantum color image representation image copyright |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1315765/full |
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