Blind Forensics of Successive Geometric Transformations in Digital Images Using Spectral Method: Theory and Applications

Chenglong Chen, Jiangqun Ni, Zhaoyi Shen, Yun Qing Shi

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

Geometric transformations, such as resizing and rotation, are almost always needed when two or more images are spliced together to create convincing image forgeries. In recent years, researchers have developed many digital forensic techniques to identify these operations. Most previous works in this area focus on the analysis of images that have undergone single geometric transformations, e.g., resizing or rotation. In several recent works, researchers have addressed yet another practical and realistic situation: successive geometric transformations, e.g., repeated resizing, resizing-rotation, rotation-resizing, and repeated rotation. We will also concentrate on this topic in this paper. Specifically, we present an in-depth analysis in the frequency domain of the second-order statistics of the geometrically transformed images. We give an exact formulation of how the parameters of the first and second geometric transformations influence the appearance of periodic artifacts. The expected positions of characteristic resampling peaks are analytically derived. The theory developed here helps to address the gap left by previous works on this topic and is useful for image security and authentication, in particular, the forensics of geometric transformations in digital images. As an application of the developed theory, we present an effective method that allows one to distinguish between the aforementioned four different processing chains. The proposed method can further estimate all the geometric transformation parameters. This may provide useful clues for image forgery detection.

Original languageEnglish (US)
Article number7879296
Pages (from-to)2811-2824
Number of pages14
JournalIEEE Transactions on Image Processing
Volume26
Issue number6
DOIs
StatePublished - Jun 2017

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Graphics and Computer-Aided Design

Keywords

  • Digital image forensics
  • geometric transformations
  • image forgery detection
  • interpolation detection
  • resampling detection

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