A generalization of Benford's law and its application to images

Fernando Perez-Gonzalez, Gregory L. Heileman, Chaouki T. Abdallah

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

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 forensics, namely, detecting that a given image carries a hidden message.

Original languageEnglish (US)
Title of host publication2007 European Control Conference, ECC 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3613-3619
Number of pages7
ISBN (Electronic)9783952417386
DOIs
StatePublished - 2007
Externally publishedYes
Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
Duration: Jul 2 2007Jul 5 2007

Publication series

Name2007 European Control Conference, ECC 2007

Conference

Conference2007 9th European Control Conference, ECC 2007
Country/TerritoryGreece
CityKos
Period7/2/077/5/07

Keywords

  • Benford's law
  • DCT
  • Forensics
  • Fourier series
  • Watermarking

ASJC Scopus subject areas

  • Control and Systems Engineering

Fingerprint

Dive into the research topics of 'A generalization of Benford's law and its application to images'. Together they form a unique fingerprint.

Cite this