An application of schur decomposition in contourlet domain watermarking

作者：Mo Jia^*; Ma Zhaofeng; Yang Yixian; Niu Xinxin

来源：ICIC Express Letters, 2012, 6(11): 2835-2840.

• Contourlet transform
• Contourlets
• Cover-image
• Diagonal matrices
• Digital image watermarking
• JPEG compression
• Low-pass
• Median filtering
• Normalized cross correlation
• Schur decomposition
• Signal to noise
• Speckle noise
• Static images
• Structural similarity
• Subbands
• Transform domain
• Watermark embedding
• Watermarking algorithms
• Watermarking schemes

This paper designs a watermarking scheme using Schur decomposition in Contourlet domain based on the static images. At first, Contourlet transform (CT) for the cover image is performed to get the lowpass subband and then Schur decomposition is applied to obtain the diagonal matrix that is finally modified to implement the watermark embedding. Measured by peak signal to noise ration (PSNR), normalized cross correlation (NCC) and structural similarity index measure (SSIM), the experiment has demonstrated that the performance of watermarking algorithm is improved through the combination of the two transforms on images with faster speed and better robustness since it is good at resisting frequent attacks such as JPEG compression, resizing, median filtering and speckle noise.

• 出版日期2012
• 单位北京大学; 电子科技大学