Chaotic trigonometric Haar wavelet with focus on image encryption

TL;DR

This paper introduces a novel chaotic trigonometric Haar wavelet transform for image encryption, enhancing security features like key space and resistance to attacks, based on wavelet and chaotic map properties.

Contribution

It presents a new chaotic Haar wavelet transform tailored for image encryption, addressing security limitations of existing methods.

Findings

Enhanced key space for encryption security

Improved resistance to differential attacks

Effective encryption demonstrated on sample images

Abstract

In this paper, after reviewing the main points of Haar wavelet transform and chaotic trigonometric maps, we introduce a new perspective of Haar wavelet transform. The essential idea of the paper is given linearity properties of the scaling function of the Haar wavelet. With regard to applications of Haar wavelet transform in image processing, we introduce chaotic trigonometric Haar wavelet transform to encrypt the plain images. In addition, the encrypted images based on a proposed algorithm were made. To evaluate the security of the encrypted images, the key space analysis, the correlation coefficient analysis and differential attack were performed. Here, the chaotic trigonometric Haar wavelet transform tries to improve the problem of failure of encryption such as small key space and level of security.