Due to the rapid growth of data security applications, optical image with digital information encryption and compression techniques have been developed for improving the data security during transmission. In previous researches, hybrid optical image encryption with digital information named CKRMDRPE-DADWTC-LCSLM-CS was proposed based on the Compressive Sensing (CS) approach and Liquid Crystal Light Modulators (LCSLM). This approach improves the security and quality of the reconstructed and decrypted image at the end of the process. However, this approach was not used for simultaneous encryption and compression using multiple images. Hence in this paper, CKRMDRPE-DADWTC-LCSLM-CS approach is improved in order to utilize the multiple images for encryption and compression. A joint multiple-image multiplexing method is proposed with the simultaneous encryption and compression in which an Enhanced Non-negative Matrix Factorization (ENMF) is applied with the digital holography approach. In this approach, a number of images are transformed into the noise-like digital holograms which are decomposed into the defined number of basis images and the corresponding weighting matrix based on the ENMF method. Then, the encryption and compression are performed for improving the security of the data. Finally, the experimental results show that the proposed approach provides high-level of security by performing multiple-image encryption and compression successfully.
