Color Image Scrambling Technique Based on Transposition of Pixels between RGB Channels Using Knight’s Moving Rules and Digital Chaotic Map

Adrian-Viorel Diaconu,Alexandru Costea,Marius-Aurel Costea

doi:10.1155/2014/932875

Adrian-Viorel Diaconu, Alexandru Costea + Show 1 more

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https://doi.org/10.1155/2014/932875

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Abstract

Nowadays, increasingly, it seems that the use of rule sets of the most popular games, particularly in new images’ encryption algorithms designing branch, leads to the crystallization of a new paradigm in the field of cryptography. Thus, motivated by this, the present paper aims to study a newly designed digital image scrambler (as part of the two fundamental techniques used to encrypt a block of pixels, i.e., the permutation stage) that uses knight’s moving rules (i.e., from the game of chess), in conjunction with a chaos-based pseudorandom bit generator, abbreviated PRBG, in order to transpose original image’s pixels between RGB channels. Theoretical and practical arguments, rounded by good numerical results on scrambler’s performances analysis (i.e., under various investigation methods, including visual inspection, adjacent pixels’ correlation coefficients’ computation, key’s space and sensitivity assessment, etc.) confirm viability of the proposed method (i.e., it ensures the coveted confusion factor) recommending its usage within cryptographic applications.

Highlights

Motivated by this, the present paper aims to study a newly designed digital image scrambler that uses knight’s moving rules, in conjunction with a chaos-based pseudorandom bit generator, abbreviated PRBG, in order to transpose original image’s pixels between RGB channels
This paper aims to contribute to the crystallization of reminded paradigm by presenting a new model of digital image scrambler, based on transposition of pixels between RGB channels using knight’s moving rules in conjunction with a chaos-based PRBG
The study of a newly designed digital image scrambler that uses knight’s moving rules, in conjunction with a chaos-based PRBG, in order to transpose original image’s pixels between RGB channels, was presented

Summary

Introduction

It is well known that, clearly, images are considered to contain a huge amount of information (e.g., a family photos might tell who are its members and their rough ages or physical features, etc.) and as an essential and integrated part of the advanced data protection techniques (i.e., image encryption [1,2,3,4,5] and watermarking [6,7,8,9,10,11,12]), digital image scramblers are designed to transform clear images into unintelligible ones (i.e., whose inherent information is protected from any unauthorized use).In recent years, besides classical approaches in the designing of bidimensional bijection based digital image scramblers (e.g., chaos-based [13,14,15,16,17], cellular automata based [18, 19], interpixel displacement or image-blocks transposition based [20,21,22], spatial transform based [23, 24], and matrix decomposition based [25] scramblers), few new designs based on rule sets of the most popular games (e.g., Sudoku puzzle based [26,27,28], Chinese chess knight’s tour based [29, 30], Rubik’s cube principle based [31, 32], and Poker shuffling rules based [33]) found their rightful place.This paper aims to contribute to the crystallization of reminded paradigm by presenting a new model of digital image scrambler, based on transposition of pixels between RGB channels using knight’s moving rules (i.e., from the game of chess) in conjunction with a chaos-based PRBG.The rest of this paper is organized as follows. Besides classical approaches in the designing of bidimensional bijection based digital image scramblers (e.g., chaos-based [13,14,15,16,17], cellular automata based [18, 19], interpixel displacement or image-blocks transposition based [20,21,22], spatial transform based [23, 24], and matrix decomposition based [25] scramblers), few new designs based on rule sets of the most popular games (e.g., Sudoku puzzle based [26,27,28], Chinese chess knight’s tour based [29, 30], Rubik’s cube principle based [31, 32], and Poker shuffling rules based [33]) found their rightful place. This paper aims to contribute to the crystallization of reminded paradigm by presenting a new model of digital image scrambler, based on transposition of pixels between RGB channels using knight’s moving rules (i.e., from the game of chess) in conjunction with a chaos-based PRBG.

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