数字图像与数码相机噪声相关性的偏态分布

崔夏荣

doi:10.3788/OPE.20101811.2467

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数字图像与数码相机噪声相关性的偏态分布

信息科学 | 更新时间：2020-08-12

- 数字图像与数码相机噪声相关性的偏态分布
- Asymmetrical distribution of noise correlation between digital image and digital camera
- 光学精密工程 2010年18卷第11期页码：2467-2472
- 作者机构：
  
  武夷学院电子工程系,福建武夷山,354300
- 作者简介：
  
  [ "崔夏荣 (1965-),男,福建浦城人,副教授,1986年于福建师范大学获得学士学位,2005年于武汉理工大学获得硕士学位,主要从事图像处理及小波分析的研究。E-mail:npcxr@163.com" ]
- 基金信息：
  
  福建省教育厅科技基金资助项目(No.JA08245)()
- DOI：10.3788/OPE.20101811.2467
  中图分类号： TB853.1;TP391.41
- 收稿日期：2010-05-18，
  
  修回日期：2010-08-12，
  
  网络出版日期：2010-11-25，
  
  纸质出版日期：2010-11-25
- 稿件说明：
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崔夏荣. 数字图像与数码相机噪声相关性的偏态分布[J]. 光学精密工程, 2010,18(11): 2467-2472

CUI Xia-rong. Asymmetrical distribution of noise correlation between digital image and digital camera[J]. Editorial Office of Optics and Precision Engineering, 2010,18(11): 2467-2472
崔夏荣. 数字图像与数码相机噪声相关性的偏态分布[J]. 光学精密工程, 2010,18(11): 2467-2472 DOI： 10.3788/OPE.20101811.2467.

CUI Xia-rong. Asymmetrical distribution of noise correlation between digital image and digital camera[J]. Editorial Office of Optics and Precision Engineering, 2010,18(11): 2467-2472 DOI： 10.3788/OPE.20101811.2467.

摘要

为了提高利用噪声相关性鉴别数字图像真伪的正确性

探索了描述噪声相关性偏态分布的最佳模型。首先

通过理论分析和大量实验验证了在(0

1]区间beta分布、gamma分布和对数正态分布可用于描述噪声相关性的偏态分布。然后

利用这3种分布的概率密度函数模拟实际的噪声相关性偏态分布的概率密度函数曲线

概率密度函数曲线的特征和最小错误率的大小说明了采用对数正态分布描述噪声相关性偏态分布的效果最佳

从而提出用对数正态分布描述噪声相关性偏态分布的模型。实验结果表明

与采用广义chi平方分布的模型相比

采用该模型可使最小错误率降低60%以上

证明了采用正确的模型描述噪声相关性偏态分布是降低鉴别错误率的有效途径。

Abstract

The best model to describe the asymmetrical distribution of noise correlation was explored to improve the accuracy of identifying digital image authenticity by noise correlation.By theoretical analysis and experiments

it was indicated that the beta distribution

gamma distribution and the logarithmic normal distribution could be used to describe the asymmetrical distribution of noise correlation within (0

1] . Then

three kinds of probability density functions were used to simulate the probability density function curves of the actual asymmetrical distribution of noise correlation. On the basis of the curve modality of probability density function and the value of the least false rate

it was explained that using logarithmic normal distribution to describe the asymmetrical distribution of noise correlation could obtain the best result. Thus a model by using the logarithmic normal distribution to describe the asymmetrical distribution of noise correlation was proposed. Experiment results show that this model can reduce the least false rate over 60% as compare with the model of using generalized chi square distribution

which proves that using a correct model to describe the asymmetrical distribution of noise correlation is an effective approach to reduce the false rate.

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Keywords

references

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