This paper presents novel video-based algorithms for detection and tracking of spiral waves of fluid in a spinning disk reactor. One of the algorithms is based on processing of experimental video data consisting of the discrete field of disk point coordinates and its intensities. Another algorithm is based on the mathematical models of Navier-Stokes type for the thin film flow. Comparison of the results for these two algorithms is made. Ill-posed problems of estimation of characteristics of wave regimes such as a radial velocity component and inclination angles are considered. To estimate errors of the respective estimates, the so-called quasi-optimal method is implemented.