关于半脆弱水印的几篇文章，其中包括小波变换的应用以及contourlet变换的应用等，涉及领域为半脆弱数字图像水印已经篡改检测。-Semi-fragile watermarking of several articles, including the application of wavelet transform and Contourlet transform application areas for semi-fragile digital image watermarking has