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Vehicle Speed Estimation from Video
Hájek, Pavel ; Herout, Adam (referee) ; Juránek, Roman (advisor)
This master's thesis describes design and development of an application for estimation of vehicle speed from both recorded video file and from camera stream. It explains the procecess of a camera calibration, vehicle detection and tracking and describes the robot operating system as a target platform. The application uses library OpenCV for most of tasks, to access video application uses a FFmpeg library. Results can be printed to the terminal window, they can also be logged to a file or published in ROS. Application is written in C++ language, some parts in Python.
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Dynamical symmetries in physics
Hájek, Pavel ; Cejnar, Pavel (advisor) ; Novotný, Jiří (referee)
The aim of this thesis is to provide a definition of dynamical symme- try and to study its properties within simple quantum systems. In particular, I investigate Kepler's problem and the isotropic harmonic oscillator. Dynamical sy- mmetry is a kind of higher symmetry which is broken in a specific way. Definition of dynamical group and quantum mechanical system is presented. Subsequently, a definition of quantum degrees of freedom and quantum integrability is propo- sed. I mention briefly a possibility of finding the generators of dynamical group by considering time dependent constants of motion.
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