TY - BOOK AU - Ebrahim Ameen Ahmed Ali AU - Mahmoud Hamed Annaby , AU - Mohamed Emad Rasmy , AU - Muhammad Ali Rushdi , TI - Spectral decomposition operators and their applications in image processing / PY - 2017/// CY - Cairo : PB - Ebrahim Ameen Ahmed Ali , KW - Color image encryption KW - Fractional discrete fourier transforms KW - Random transforms N1 - Thesis (M.Sc.) - Cairo University - Faculty of Engineering - Department of Systems and Biomedical Engineering; Issued also as CD N2 - In this thesis, we propose new DFrFT-type transforms generated by random matrices and apply them to image encryption. We investigate the significance of our method and compare it statistically with newly established techniques and we propose two encryption algorithms that largely treat these deficiencies and boost the security strength through novel integration of the random fractional fourier transforms, phase retrieval algorithms, as well as chaotic scrambling and diffusion. We show through detailed experiments and statistical analysis that the proposed enhancements significantly improve security measures and immunity to attacks ER -