Geometric resistant polar quaternion discrete Fourier transform and its application in color image zero-hiding. (June 2022)

• Record Type: Journal Article
• Authors: Wang, Chunpeng; Ma, Bin; Xia, Zhiqiu; Li, Jian; Li, Qi; Liu, Xiaoxia; Sang, Shengtian
• Is Part Of: ISA transactions. Volume 125(2022)
• Page Start: 665
• Page End: 680
• Publication Date: 2022-06
• Subjects: Polar quaternion discrete Fourier transform -- Geometric invariance -- Color image zero-hiding -- Quaternion -- Lossless copyright protection; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2021.06.019
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: As a typical frequency-domain analysis method, quaternion discrete Fourier transform (QDFT) has been widely used in information hiding in color images. However, due to the sensitivity of QDFT to geometric attacks, existing QDFT-based information hiding schemes have limited ability in resisting geometric attacks. In this study, a kind of novel geometrically resilient polar QDFT (PQDFT) is constructed and the properties of the proposed PQDFT are analyzed. Subsequently, a PQDFT-based color image zero-hiding scheme robust to geometric attacks is proposed for lossless copyright protection of color images, which experimentally shows reasonable resistance against geometric and common attacks, indicating better robustness compared with the existing QDFT-based information hiding schemes and other leading-edge zero-hiding schemes. Graphical abstract: Highlights: Geometrically resilient polar quaternion discrete Fourier transform (PQDFT) is constructed. A PQDFT-based color image zero-hiding scheme robust to geometric attacks is proposed. 2D Hénon-Sine map is used to ensure high security of the proposed zero-hiding scheme. The proposed scheme can resist geometric and common attacks very effectively.