Abstract

The research paper proposes an efficient image cryptosystem that depends on the utilization of two dimensional (2D) chaotic logistic map (CLM) and singular value decomposition (SVD). The encryption process starts by a confusion stage through applying the 2D-CLM to the input plainimage. Then, the resulted logistic transformed image is then decomposed using the SVD technique into three ciphered components; the horizontal, vertical, and diagonal components. The ciphered horizontal, vertical, and diagonal components are then transmitted to the destination which applies a reverse procedure to reconstruct the original plainimage. A matrix of encryption quality tests are performed for investigating the proposed 2D-CLM based SVD image cipher. The obtained test results confirmed and ensured the efficiency of the proposed 2D-CLM based SVD image cipher.

Highlights

  • The unexpected growing in digital technology field witnessed a lot of attention

  • Several image encoding methods were done and founded in literature like ones that depends on classical encryption like Advanced Encryption Standard (AES), Data Encryption Standard (DES), Double-DES, TDES, and International Data Encryption Algorithm (IDEA) [11,12,13,14,15]

  • The visual inspection results show that the proposed 2D-chaotic logistic map (CLM) based singular value decomposition (SVD) image cipher can successfully hide all the details of the tested plainimages

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Summary

INTRODUCTION

The unexpected growing in digital technology field witnessed a lot of attention. In [26], the authors presented a proposed an image cipher that performs encryption using an iterative FrFT. In [28], a color image cipher that employed FrFT in conjunction with DWT is presented. In [29], a secure color image cipher which employed a DWT and SVD is proposed. In [30], an image encoding which utilizes SVD and AT in FrFT is presented. This method works as follows; the plainimage is firstly transformed with FrFT and the transformed image is decomposed with SVD into three components. Experimental test results and the analysis of 2D-CLM based SVD image cipher are given, Sect. V concludes the proposed 2D-CLM based SVD image cipher

BACKGROUND
The SVD
THE PROPOSED 2D-CLM BASED SVD IMAGE CIPHER
SECURITY STUDY
Visual Inspecting Results
Histogram Test
Encryption Quality Tests
Entropy Metric
D i 0 MxN
Differential Metrics
CONCLUSIONS
Full Text
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