Development of Multi-Dimensional Signal Processing Modelsand Restoration Algorithms for Degradation of Film Movies

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This research analyzes fundamental properties of phase-only correlation functions for the measurement of frame displacement of old film sequences. This research also analyzes the effects of statistical phase disturbance of phase-only correlation functions on their main lobe and side lobe. The use of directional statistics for the analysis of phase-only correlation functions can show that the expectation and variance of the phase-only correlation functions due to statistical phase disturbance naturally correspond to their mean angle and circular variance in directional statistics, respectively.