泽尼克多项式
水印
数字水印
有损压缩
速度矩
稳健性(进化)
计算机视觉
人工智能
不变(物理)
镜像时刻
计算机科学
抖动
数学
算法
缩放比例
图像(数学)
图像处理
光学
波前
化学
基因
物理
几何学
生物化学
数学物理
噪声整形
作者
Yongqing Xin,S.X. Liao,M. Pawlak
摘要
In image watermarking, the watermark robustness to geometric transformations is still an open problem. Using invariant image features to carry the watermark is an effective approach to addressing this problem. In this paper, a multibit geometrically robust image watermarking algorithm using Zernike moments is proposed. Some Zernike moments of an image are selected, and their magnitudes are dither-modulated to embed an array of bits. The watermarked image is obtained via reconstruction from the modified moments and those left intact. In watermark extraction, the embedded bits are estimated from the invariant magnitudes of the Zernike moments using a minimum distance decoder. Simulation results show that the hidden message can be decoded at low error rates, robust against image rotation, scaling and flipping, and as well, a variety of other distortions such as lossy compression.
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