Steerable Fourier number transform with application to image encryption

被引:5
|
作者
Gondim, Marcos A. A. [1 ]
de Oliveira Neto, Jose R. [1 ]
Lima, Juliano B. [1 ]
机构
[1] Univ Fed Pernambuco, Dept Elect & Syst, Ave Arquitetura S-N,Cidade Univ, BR-50740550 Recife, PE, Brazil
关键词
Number-theoretic transforms; Steerable transforms; Graph signal processing; Image encryption; DISCRETE FRACTIONAL FOURIER; THEORETIC TRANSFORMS; COSINE; MAP; GENERATORS; ALGORITHM; HARTLEY;
D O I
10.1016/j.image.2019.01.008
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
this paper, we introduce the steerable Fourier number transform (SFNT). It corresponds to a generalization of the well-known number-theoretic transform (NTT), obtained by applying a finite field rotation to pairs of vectors taken from the original Fourier-like NTT basis. We provide illustrative examples regarding the SFNT construction and propose an image encryption scheme based on the new transform; the principle of the method is to use the angles of the referred rotations as secret parameters. We demonstrate that the proposed scheme is resistant against the main cryptographic attacks, although it is simpler than other transform-based image encryption techniques.
引用
收藏
页码:89 / 95
页数:7
相关论文
共 50 条
  • [1] Light field image encryption based on steerable cosine number transform
    Lima, V. S.
    Ferreira, F. A. B. S.
    Madeiro, F.
    Lima, J. B.
    SIGNAL PROCESSING, 2023, 202
  • [2] The Weighted Fractional Fourier Transform and Its Application in Image Encryption
    Zhao, Tieyu
    Ran, Qiwen
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
  • [3] Image encryption and the fractional Fourier transform
    Hennelly, BM
    Sheridan, JT
    OPTIK, 2003, 114 (06): : 251 - 265
  • [4] The Generalized Weighted Fractional Fourier Transform and Its Application to Image Encryption
    Lang, Jun
    Tao, Ran
    Wang, Yue
    PROCEEDINGS OF THE 2009 2ND INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, VOLS 1-9, 2009, : 3198 - 3202
  • [5] Image encryption and the fractional Fourier transform.
    Hennelly, BM
    Sheridan, JT
    OPTP-IRELAND 2002: OPTICAL METROLOGY, IMAGING, AND MACHINE VISION, 2003, 4877 : 126 - 137
  • [6] Steerable Discrete Fourier Transform
    Fracastoro, Giulia
    Magli, Enrico
    IEEE SIGNAL PROCESSING LETTERS, 2017, 24 (03) : 319 - 323
  • [7] Image Encryption techniques based on the fractional Fourier transform
    Hennelly, BM
    Sheridan, JT
    OPTICAL INFORMATION SYSTEMS, 2003, 5202 : 76 - 87
  • [8] Color Image Encryption Based on Fractional Fourier Transform
    Cui, Delong
    2010 SECOND ETP/IITA WORLD CONGRESS IN APPLIED COMPUTING, COMPUTER SCIENCE, AND COMPUTER ENGINEERING, 2010, : 35 - 38
  • [9] Radial Hilbert Transform in terms of the Fourier Transform applied to Image Encryption
    Morales, Y.
    Diaz, L.
    Torres, C.
    VII INTERNATIONAL CONGRESS OF ENGINEERING PHYSICS, 2015, 582
  • [10] Image encryption by using fractional Fourier transform and jigsaw transform in image bit planes
    Sinha, A
    Singh, K
    OPTICAL ENGINEERING, 2005, 44 (05) : 1 - 6