Optimum Framework for Medical Image Security: Integrating AOA Algorithm, Meixner Moments, Chaotic Systems, and DNA Computing

This work introduces OMICEA, an Optimum Medical Image Compression-Encryption Algorithm designed to efficiently process large medical images. OMICEA uses Discrete Orthogonal Meixner Moments (DMMs), the Fractional Order 3D Lorenz Chaotic (FO-3DLC) system, 2D Sinusoidal Constrained Polynomial Hyperchaotic Map (2D-SCPM), DNA coding, and an Arithmetic Optimization Algorithm (AOA). OMICEA uses a three-stage approach for efficient medical image processing. In the compression stage (a), DMMs are used, and the parameters (l, h) of the Meixner Polynomials (MPs) are optimized using the AOA optimizer to ensure high-quality reconstructed images. A quantization operation is then performed to reduce the data volume. Switching to the encryption stage (b), the FO-3DLC system is used to generate random sequences associated with the simple image, and control over these sequences, along with DNA permutation, diffusion, encoding, and decoding, is orchestrated by chaotic sequences generated by the 2D-SCPM. Finally, in the optimization stage (c), the AOA is applied to select the optimal compressed-encrypted image, using the correlation function as the objective function to minimize discrepancies and ensure the selection of the most refined result. The simulation outcomes and security analysis demonstrate that our method exhibits outstanding performance, characterized by a high level of security and the delivery of a decompressed-decrypted image of commendable quality.