Novel Image Digital Watermark Algorithm with Weighted fractional calculus based on Wavelet Coefficients
LIU Lei1,2,MIAO Qiguang1,SHI Cheng1
1. School of Computer Science and Technology, Xidian University, Xi’an Shaanxi 710071, China 2. School of Computer, Guilin University of Electronic Technology,Guilin Guangxi 541004, China
Abstract：In this paper, a novel digital watermark algorithm, based on fractional calculus and wavelet transform, for still images is proposed. It makes fully use of the characteristic of the fractional order that is highly sensitive. The algorithm makes sinusoidal signal by fractional Cauchy formula with two differential orders. The sampled signals of the differential signals were superimposed as the pseudo-random sequence which is used to scramble the watermark. By exchanging the high-frequency coefficients of the carrier image, the scrambled watermark was embedded into the carrier image. Several experiments to verify the proposed method are given and the results show that this novel algorithm is robust to a number of regular geometric attacks and other image processing operations. The new method has a good performance on both robustness and invisibility.
刘磊 苗启广 石程. 面向小波域的加权分数阶微积分图像数字水印新算法[J]. 计算机应用, 2011, 31(11): 3048-3052.
LIU Lei MIAO Qiguang SHI Cheng. Novel Image Digital Watermark Algorithm with Weighted fractional calculus based on Wavelet Coefficients. Journal of Computer Applications, 2011, 31(11): 3048-3052.
2011, Vol. 31 
