Two novel applications of chaotic dynamics for the construction of sim
ple highly accurate measuring devices and for secure image ciphering a
re presented. We suggest to utilize the sensitivity to initial conditi
ons 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 th
e cat map are used to create a complex permutation of pixels in a digi
tal image. The ciphering/deciphering process, and the security of the
cipher are discussed.