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Optical image encryption based on two-dimensional N-parameter fractional Fourier transform

  • Haiying Zhang*
  • , Qiwen Ran
  • , Yu Xiao
  • , Jing Ma
  • , Liying Tan
  • , Jin Zhang
  • , Deyun Wei
  • *Corresponding author for this work
  • Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, the weighted fractional Fourier transform with dilation parameter (N-PFRFT) is proposed as the weighted combination of the first four integer-order ordinary Fourier transforms. This N-PFRFT is an extension of four-item weighted fractional Fourier transform (N-PFRFT) defined by Shih[1] and it owns four free parameters in the weight coefficients besides the order of the fractional Fourier transform. A novel image encryption algorithm is presented by the N-PFRFT.The method owns more secret keys than the encryption methods operated by other fractional Fourier transforms without any increase of the computational complexity. On the other hand, the image still can't be decrypted correctly even though the order of FRFT which is treated as a secret key is known. So do the four free parameters. Therefore, both the order parameter and the vector parameter can be chosen in the real domain to improve the security of the encryption method. Digital simulations are presented to verify the more validity and efficiency of the algorithm.

Original languageEnglish
Title of host publicationInternational Symposium on Photoelectronic Detection and Imaging 2009
Subtitle of host publicationLaser Sensing and Imaging
DOIs
StatePublished - 2009
EventInternational Symposium on Photoelectronic Detection and Imaging 2009: Laser Sensing and Imaging - Beijing, China
Duration: 17 Jun 200919 Jun 2009

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume7382
ISSN (Print)0277-786X

Conference

ConferenceInternational Symposium on Photoelectronic Detection and Imaging 2009: Laser Sensing and Imaging
Country/TerritoryChina
CityBeijing
Period17/06/0919/06/09

Keywords

  • Fractional Fourier transform
  • Image encryption
  • Information security

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