A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling
We propose a new image watermarking scheme based on the real SVD and Arnold scrambling to embed a color watermarking image into a color host image. Before embedding watermark, the color watermark image W with size of M×M is scrambled by Arnold transformation to obtain a meaningless image W~. Then, t...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/2497379 |
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| author | Ying Li Musheng Wei Fengxia Zhang Jianli Zhao |
| author_facet | Ying Li Musheng Wei Fengxia Zhang Jianli Zhao |
| author_sort | Ying Li |
| collection | DOAJ |
| description | We propose a new image watermarking scheme based on the real SVD and Arnold scrambling to embed a color watermarking image into a color host image. Before embedding watermark, the color watermark image W with size of M×M is scrambled by Arnold transformation to obtain a meaningless image W~. Then, the color host image A with size of N×N is divided into nonoverlapping N/M×N/M pixel blocks. In each (i,j) pixel block Ai,j, we form a real matrix Ci,j with the red, green, and blue components of Ai,j and perform the SVD of Ci,j. We then replace the three smallest singular values of Ci,j by the red, green, and blue values of W~ij with scaling factor, to form a new watermarked host image A~ij. With the reserve procedure, we can extract the watermark from the watermarked host image. In the process of the algorithm, we only need to perform real number algebra operations, which have very low computational complexity and are more effective than the one using the quaternion SVD of color image. |
| format | Article |
| id | doaj-art-48d3e61a8d99402185f643ee025152ab |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-48d3e61a8d99402185f643ee025152ab2025-02-03T06:42:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422016-01-01201610.1155/2016/24973792497379A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold ScramblingYing Li0Musheng Wei1Fengxia Zhang2Jianli Zhao3College of Mathematical Sciences, Liaocheng University, Shandong 252000, ChinaCollege of Mathematical Sciences, Liaocheng University, Shandong 252000, ChinaCollege of Mathematical Sciences, Liaocheng University, Shandong 252000, ChinaCollege of Mathematical Sciences, Liaocheng University, Shandong 252000, ChinaWe propose a new image watermarking scheme based on the real SVD and Arnold scrambling to embed a color watermarking image into a color host image. Before embedding watermark, the color watermark image W with size of M×M is scrambled by Arnold transformation to obtain a meaningless image W~. Then, the color host image A with size of N×N is divided into nonoverlapping N/M×N/M pixel blocks. In each (i,j) pixel block Ai,j, we form a real matrix Ci,j with the red, green, and blue components of Ai,j and perform the SVD of Ci,j. We then replace the three smallest singular values of Ci,j by the red, green, and blue values of W~ij with scaling factor, to form a new watermarked host image A~ij. With the reserve procedure, we can extract the watermark from the watermarked host image. In the process of the algorithm, we only need to perform real number algebra operations, which have very low computational complexity and are more effective than the one using the quaternion SVD of color image.http://dx.doi.org/10.1155/2016/2497379 |
| spellingShingle | Ying Li Musheng Wei Fengxia Zhang Jianli Zhao A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling Journal of Applied Mathematics |
| title | A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling |
| title_full | A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling |
| title_fullStr | A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling |
| title_full_unstemmed | A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling |
| title_short | A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling |
| title_sort | new double color image watermarking algorithm based on the svd and arnold scrambling |
| url | http://dx.doi.org/10.1155/2016/2497379 |
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