基于分数阶微积分的高斯水印图像水印系统鉴别能力的统计评估

Statistical Assessment of Discrimination Capabilities of a Fractional Calculus Based Image Watermarking System for Gaussian Watermarks.

作者信息

Gonzalez-Lee Mario, Vazquez-Leal Hector, Morales-Mendoza Luis J, Nakano-Miyatake Mariko, Perez-Meana Hector, Laguna-Camacho Juan R

机构信息

Facultad de Ingeniería en Electrónica y Comunicaciones, Universidad Veracruzana, Av. Venustiano Carranza S/N, Poza Rica Veracruz C.P. 93390, Mexico.

Facultad de Instrumentación Electrónica, Universidad Veracruzana Lomas del Estadio S/N, Xalapa Veracruz C.P. 91090, Mexico.

出版信息

Entropy (Basel). 2021 Feb 23;23(2):255. doi: 10.3390/e23020255.

DOI:10.3390/e23020255

PMID:33672152

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7927010/

Abstract

In this paper, we explore the advantages of a fractional calculus based watermarking system for detecting Gaussian watermarks. To reach this goal, we selected a typical watermarking scheme and replaced the detection equation set by another set of equations derived from fractional calculus principles; then, we carried out a statistical assessment of the performance of both schemes by analyzing the Receiver Operating Characteristic (ROC) curve and the False Positive Percentage (FPP) when they are used to detect Gaussian watermarks. The results show that the ROC of a fractional equation based scheme has 48.3% more Area Under the Curve (AUC) and a False Positives Percentage median of 0.2% whilst the selected typical watermarking scheme has 3%. In addition, the experimental results suggest that the target applications of fractional schemes for detecting Gaussian watermarks are as a semi-fragile image watermarking systems robust to Gaussian noise.

摘要

在本文中，我们探讨了基于分数阶微积分的水印系统在检测高斯水印方面的优势。为实现这一目标，我们选择了一种典型的水印方案，并将检测方程组替换为另一组基于分数阶微积分原理推导的方程；然后，通过分析两种方案在用于检测高斯水印时的接收者操作特征（ROC）曲线和误报率（FPP），对它们的性能进行了统计评估。结果表明，基于分数阶方程的方案的ROC曲线下面积（AUC）比所选典型水印方案多48.3%，误报率中位数为0.2%，而所选典型水印方案为3%。此外，实验结果表明，分数阶方案用于检测高斯水印的目标应用是作为对高斯噪声具有鲁棒性的半脆弱图像水印系统。