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Abstract
Two novel applications of chaotic dynamics for the construction of simple highly accurate measuring devices and for secure image ciphering are presented. We suggest to utilize the sensitivity to initial conditions as a mechanism for accurate measurements. We describe an algorithm which takes low accuracy time evolution data of a chaotic circuit to reconstruct the initial condition (signal to be measured) with a much higher accuracy.
In the second part of the paper, the baker map and the cat map are used to create a complex permutation of pixels in a digital image. The ciphering/deciphering process, and the security of the cipher are discussed.
Notes
Jiri Fridrich was born in Czech Republic in 1964. He received his Ph.D. degree in Systems Science from SUNY Binghamton in 1995, and M.Sc. in applied mathematics from Czech Technical university in Prague, Czech Republic in 1987. The same year, he received an Award of the Czech Department of Education for outstanding academic performance. He is now a postdoctoral assistant at the Center for Intelligent Systems at SUNY Binghamton. His research interests are in the area of chaotic systems, image processing and encryption, and fuzzy set theory. For his research work on applied chaotic dynamics, he received the Distinguished Dissertation Award and the Award for Excellence in Research from SUNY Binghamton in 1995.