Enhanced Laplace integral transform based image encryption technique and its analysis

• Published in: Discover applied sciences Vol. 7; no. 9; pp. 967 - 28
• Main Authors: Kanwal, Shamsa, Inam, Saba, Yousef, Amr, Shaikh, Zaffar Ahmed, Nawaz, Fariha
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.09.2025; Springer Nature B.V; Springer
• Subjects: Algorithms; Applied and Technical Physics; Changing intensity (UACI); Chaos theory; Chaotic logistic map (CLM); Chemistry/Food Science; Confidentiality; Cryptography; Data encryption; Data integrity; Demand analysis; Earth Sciences; Encryption; Engineering; Entropy (Information theory); Environment; Image processing; Integral transforms; Integrity; Laplace transforms; Marking and tracking techniques; Materials Science; Number of pixel change rate (NPCR); Peak signal to noise ratio (PSNR); Permutations; Piecewise chaotic linear map (PWLCM), laplace transform; Pixels; Privacy; Scrambling (communication); Security; Series expansion; Signal to noise ratio; Number of pixel change rate (NPCR); Piecewise chaotic linear map (PWLCM), laplace transform; Chaotic logistic map (CLM); Changing intensity (UACI); Peak signal to noise ratio (PSNR)
• ISSN: 3004-9261; 2523-3963; 3004-9261; 2523-3971
• DOI: 10.1007/s42452-025-07630-w

The demand for image encryption with the advent of technology is increasing rapidly. In this paper we leverage chaos-based methods for image encryption and decryption to enhance the digital image security. The system’s strong suit is its sophisticated approach that starts with data scrambling and includes chaotic permutations, bitwise operations, and XOR substitution. The security features are further enhanced through the incorporation of additional complexity levels brought by Laplace transforms and series expansions. Applications needing strict security measures might choose the cryptosystem because of its complete approach, which guarantees the integrity and confidentiality of digital images. The proposed approach provides a flexible and efficient solution by combining advanced cryptographic algorithms, mathematical transformations, and chaos theory to create a strong foundation for image encryption in wide range of security-sensitive situations. The proposed system uniquely combines chaos theory, Laplace transforms, and series expansions to create a highly secure and advanced framework for image encryption. This innovative method significantly strengthens resistance to cryptographic attacks, marking a notable advancement in secure digital communication. The proposed technique demonstrate good performance in terms of information entropy, histogram, correlation of adjacent pixels, unified average changing intensity (UACI), number of pixel change rate (NPCR), and peak signal to noise ratio (PSNR), demonstrate the security and robustness of the suggested algorithm. Article highlights Robust image security enhanced through efficient Chaos-based encryption methods. Integration of Laplace transforms adds a sophisticated layer of security. Comprehensive methodology ensures confidentiality, integrity, and versatility.