Analysis of motion in scale space [Elektronische Ressource] / vorgelegt von Pavel Pavlov

INAUGURAL–DISSERTATIONzurErlangungderDoktorwürdederNaturwissenschaftlich MathematischenGesamtfakultätderRuprecht-Karls-UniversitätHeidelbergVorgelegtvonDiplom MathematikerPavelPavlovausDobrich,BulgarienTagdermündlichenPrüfung25.09.2008AnalysisofmotioninscalespaceGutachter:Prof. Dr. Dr. h.c. mult. WilliJägerProf. Dr. Dr. BerndJähneAbstractThis work includes some new aspects of motion estimation by the optic flow method in scalespaces. The usual techniques for motion estimation are limited to the application of coarse tofinestrategies. Thecoarsetofinestrategiescanbesuccessfulonlyifthereisenoughinforma tion in every scale. In this work we investigate the motion estimation in the scale space morebasically.The wavelet choice for scale space decomposition of image sequences is discussed in thefirst part of this work. We make use of the continuous wavelet transform with rotationallysymmetric wavelets. Bandpass decomposed sequences allow the replacement of the structuretensor by the phase invariant energy operator. The structure tensor is computationally moreexpensive because of its spatial or spatio temporal averaging. The energy operator needs ingeneralnofurtheraveraging. Thenumericalaccuracyofthemotionestimationwiththeenergyoperator is compared to the results of usual techniques, based on the structure tensor. Thecomparisontestsareperformedonsyntheticandreallifesequences.