Two dimensional discrete fractional Fourier transform

This article presents a novel cryptosystem for secure transmission of color images through a coordinate cryptosystem as well as a geometric cryptosystem with time domain and frequency domain. In this technique, we have designed image encryption and decryption by a proposed random matrix shift cipher (RMSC) associated with a discrete fractional Fourier transform (DFrFT). Our proposed random matrix shift cipher is a coordinate and geometric cryptosystem for security of color image data which is completely different from existing cryptosystems for security of any data. The combination of a random matrix shift cipher and discrete fractional Fourier transform provide a robust cryptosystem for color image data in the time domain as well as the frequency domain without loss of any information. Existing techniques provide single-layer protection of color image data, but the cryptosystem presented here gives multiple layers of protection. Computer simulation on a standard example (Lena and Barbara color images) and the result are support for the robustness and appropriateness of the proposed cryptosystem.

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“…Based on work of Pai and Yes (Pei & Yeh, 1998), the eigenvalue assignment rule is developed similar to the notation in Eq. (18).…”

Section: Discrete Fractional Fourier Transformmentioning

confidence: 99%

An approach for security of color image data in coordinate, geometric, and frequency domains

Mishra

Sharma

2016

Information Security Journal: A Global Perspective

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“…Let f (x) be a sampled periodic signal with a period 0 , the p th order discrete fractional Fourier transform (DFRFT) of f (x) can be obtained as [13]:…”

Section: The Discrete Fractional Fourier Transform (Dfrft)mentioning

confidence: 99%

Robust and secure fractional wavelet image watermarking

El-Shazly¹,

Faragallah

Abbas

et al. 2014

SIViP

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“…For a matrix, the 2D DFrFT is calculated by applying 1D DFrFT to each row of matrix and then to each column of the resultant matrix. The 2D transformation kernel is defined with separable form as [20]:…”

Section: Sf=fs (3)mentioning

confidence: 99%

Improved RSA Encryption based Medical Image Compression using Fractional Fourier Transform and Modified SPIHT Encoding Scheme

KumariP¹,

Thanushkodi²

2013

IJCA

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Medical image data generally need a huge amount of resources for storage and transmission. In recent years, due to the extensive popularity of medical imaging applications in healthcare settings and the increased interest in telemedicine technologies, it is important to minimize both storage and transmission bandwidth necessities required for archival and communication of related data, preferably by employing compression techniques. The security of the compressed image has also become an essential part in medical image analysis. This research focuses on providing efficient compression of the DICOM images with better security and authentication. The DICOM images are encrypted using Improved RSA Variant for better overall performance. This approach uses efficient fractional Fourier Transform and Block based Pass-Parallel SPIHT for compressing the DICOM images. The performance of the proposed approach is compared with the existing approaches and is observed to provide better PSNR and lower MSR values.

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Two dimensional discrete fractional Fourier transform

Cited by 91 publications

References 19 publications

An approach for security of color image data in coordinate, geometric, and frequency domains

An approach for security of color image data in coordinate, geometric, and frequency domains

Robust and secure fractional wavelet image watermarking

Improved RSA Encryption based Medical Image Compression using Fractional Fourier Transform and Modified SPIHT Encoding Scheme

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