Algorithm for Analyzing Rotating Images Based on the Fourier-Galois Transform

An algorithm for determining the frequency of rotation of an object of arbitrary nature is proposed, based on the processing of the result of registration of scattered ultrasonic radiation by a given object located in a particular medium using the Fourier-Galois transform. For concretization, an example of applying this algorithm to a viscometer is considered, in which a disposable cuvette is used, which contains the liquid under study and a ball used to measure viscosity. The rotation of the cuvette causes the ball to rotate, the frequency of which is recorded using a set of threshold ultrasound sensors. It is shown that the use of the proposed algorithm based on the calculation of individual components of the Galois spectrum makes it possible to implement universal devices of this type, i.e., ensure measurements, the results of which will not depend on the nature of the interaction of ultrasound (or other radiation) with the object under study. It is shown that this possibility follows from the fundamental properties of the Fourier-Galois transform. It is shown that the calculation of the Galois spectrum can be reduced to operations performed by standard logic elements, i.e., reduced to operations of binary logic. This provides the possibility of practical implementation of the proposed algorithm using a standard element base.