그림 1. IBCA 경계조건 Fig. 1 IBCA(Intermediate Boundary Cellular Automata)
그림 2. 영상 암호화 과정 Fig. 2 Block diagram of the image encryption
그림 3. 1차원 CAT 기저 함수 Fig. 3 1D CAT basis function
그림 4. 원 영상과 암호화된 영상 (1) Fig. 4 Original image and encrypted image (1)
그림 5. 원 영상과 암호화된 영상 (2) Fig. 5 Original image and encrypted image (2)
그림 6. 원 영상과 암호화된 영상 (3) Fig. 6 Original image and encrypted image (3)
그림 7. 원 영상과 암호화된 영상의 히스토그램 (1) Fig. 7 Original medical image‘s and encrypted image’s histogram (1)
그림 8. 원 영상과 암호화된 영상의 히스토그램 (2) Fig. 8 Original medical image‘s and encrypted image’s histogram (2)
그림 9. 원 영상과 암호화된 영상의 히스토그램 (3) Fig. 9 Original medical image‘s and encrypted image’s histogram (3)
표 1. 규칙 90과 규칙 150의 부울 식 Table 1. Boole function of rule 90 and rule 150
표 2. 게이트웨이값의 예시 Table 2. Example of gateway values
표 2. C-MLCA 파라미터 Table 2. C-MLCA Parameter
표 3. 1차원 CAT 게이트웨이값 Table 3. 1D CAT Gateway values
표 4. PSNR 값 Table 4. PSNR Value
표 5. NPCR 값 Table 5. NPCR Value
표 6. 타 암호화 방법과 비교 Table 6. Compared with other encryption methods
References
- F. Cao, H. K. Huang, and X. Q. Zhou, "Medical image security in a HIPAA mandated PACS environment," Computerized Medical Imaging and Graphics 27, vol. 23, issue 2-3, 2003, pp. 185-196.
- G. Oh, Y. Lee, and S. Yeom, "Security Mechanism for Medical Image Information on PACS Using invisible Watermark," High Performance Computing for Computational Science - VECPAR 2004, Valencia, June, 2004, pp. 315-324.
- M. Ashtiyani, P. M. Birgani, and H. M. Hosseini, "Chaos-Based Medical Image Encryption Using Symmetric Cryptography," 3rd International Conf. on Information and Communication Technologies: From Theory to Applications, Damascus, Apr. 2008, pp. 1-5.
- Y. Dai and X. Wang, "Medical image encryption based on composition of Logistic Maps and Chebyshev Maps," Proc. IEEE Int. Conf. Information and Automation, China, June, 2012, pp. 210-214.
- J. Dagadu, J. Li, E. Aboagye, and X. Ge, "Chaotic Medical Image Encryption Based on Arnold Transformation and Pseudorandomly Enhanced Logistic Map," J. of Multidisciplinary Engineering Science and Technology, vol. 4, issue 9, 2017, pp. 8096-8103.
- J. Von Neumann, "The general and Logical Theory of Automata," Collected Works, vol. 5, 1963, pp. 288-326.
- S. Wolfram, "Cryptography with cellular automata," In Advances in Cryptology Crypto '85 Proc., Springer-Verlag, vol. 218, 1986, pp. 429-432. https://doi.org/10.1007/3-540-39799-X_32
- H. D. Kim, S. J. Cho and U. S. Choi, "On the Construction of the 90/150 State Transition Matrix Corresponding to the Trinomial x^(2^n-1)+x+1," J. of the Korea Institute of Electronic Communication Sciences, vol. 13, no. 2, Apr. 2018, pp. 383-390. https://doi.org/10.13067/JKIECS.2018.13.2.383
- H. Kim, S. Cho, U. Choi, M. Kwon, and G. Kong, "Synthesis of Uniform CA and 90/150 Hybrid CA," J. of the Korea Institute of Electronic Communication Sciences, vol. 11, no. 3, Mar. 2016, pp. 293-302. https://doi.org/10.13067/JKIECS.2016.11.3.293
- U. Shoi and S. Cho, "Generation of Maximum Length Cellular Automata," J. of the Korea Institute of Information Security & Cryptology, vol. 14, no. 6, 2004, pp. 25-30.
- H. Jeong, S. Cho, K. Park, and S. Tim, "Color Medical Image Encryption Using Two-dimensional Chaotic Map and C-MLCA," The 11th Int. Conference on Ubiquitous and Future Networks, Prague, July, 2018, pp. 801-804.
- O. Lafe, Cellular Automata Transform: Theory and Application in Multimedia Compression, Encryption, and Modeling, Boston, MA : Kluwer Academic Publishers, 2000.
- K. Wong, B. Kwok, and W. Law, "A fast image encryption scheme based on chaotic standard map," Physics Letters A, vol. 372, issue 15, 2008, pp. 2645-2652. https://doi.org/10.1016/j.physleta.2007.12.026
- Q. Zhou, K. Wong, X. Liao, T. Xiang, and Y. Hu, "Parallel Image Encryption Algorithm based on discretized chaotic map," Chaos, Solitons and Fractals, vol. 38, issue 4, 2008, pp. 1081-1092. https://doi.org/10.1016/j.chaos.2007.01.034
- L. Zhang, X. Liao, and X. Wang, "An Image Encryption Approach based on chaotic maps," Chaos, Solitons and Fractals, vol. 24, issue 3, 2005, pp. 759-765. https://doi.org/10.1016/j.chaos.2004.09.035