Benford´s Lawin Image Processing

Author

Pérez-González, Fernando ; Heileman, Greg L. ; Abdallah, Chaouki T.

Author_Institution

Univ. de Vigo, Vigo

Volume

1

fYear

2007

fDate

Sept. 16 2007-Oct. 19 2007

Abstract

We present a generalization of Benford´s law for the first significant digit. This generalization is based on keeping two terms of the Fourier expansion of the probability density function of the data in the modular logarithmic domain. We prove that images in the discrete cosine transform domain closely follow this generalization. We use this property to propose an application in image steganalysis, namely, detecting that a given image carries a hidden message.

Keywords

Fourier transforms; cryptography; data encapsulation; discrete cosine transforms; image coding; probability; watermarking; Benford law; Fourier expansion; discrete cosine transform; hidden message detection; image processing; image steganalysis; modular logarithmic domain; probability density function; watermarking; Chaos; Discrete cosine transforms; Fourier series; Frequency; Image processing; Laplace equations; Probability density function; Random variables; Telecommunication standards; Watermarking; Benford´s law; DCT; Fourier series; setaganalysis; watermarking;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2007. ICIP 2007. IEEE International Conference on

Conference_Location

San Antonio, TX

ISSN

1522-4880

Print_ISBN

978-1-4244-1437-6

Electronic_ISBN

1522-4880

Type

conf

DOI

10.1109/ICIP.2007.4378977

Filename

4378977