Variational methods for combined image and motion estimation

Diese Arbeit beschäftigt sich mit zwei Variationsmodellen zur kombinierten Bild- und Bewegungsschätzung. Der Fokus liegt dabei auf einer detaillierten Analysis und der Vorstellung eines numerischen Frameworks zur Implementierung. Die entwickelten Methoden werden in beiden Fällen auf je einem künstlichen Datensatz mit bereits bekannten Methoden detailliert verglichen.This thesis is concerned with two variational models for combined image and motion estimation. The focus is laid on establishing analytical results aswell as presenting a numerical framework for the implementation. Both methods are compared in detail to established methods on artificial data.<br

Automated analysis of 3D echocardiography

In this thesis we aim at automating the analysis of 3D echocardiography, mainly targeting the functional analysis of the left ventricle. Manual analysis of these data is cumbersome, time-consuming and is associated with inter-observer and inter-institutional variability. Methods for reconstruction of 3D echocardiographic images from fast rotating ultrasound transducers is presented and methods for analysis of 3D echocardiography in general, using tracking, detection and model-based segmentation techniques to ultimately fully automatically segment the left ventricle for functional analysis. We show that reliable quantification of left ventricular volume and mitral valve displacement can be achieved using the presented techniques.SenterNovem (IOP Beeldverwerking, grant IBVC02003), Dutch Technology Foundation STW (grant 06666)UBL - phd migration 201

Applied Mathematics to Mechanisms and Machines

This book brings together all 16 articles published in the Special Issue "Applied Mathematics to Mechanisms and Machines" of the MDPI Mathematics journal, in the section “Engineering Mathematics”. The subject matter covered by these works is varied, but they all have mechanisms as the object of study and mathematics as the basis of the methodology used. In fact, the synthesis, design and optimization of mechanisms, robotics, automotives, maintenance 4.0, machine vibrations, control, biomechanics and medical devices are among the topics covered in this book. This volume may be of interest to all who work in the field of mechanism and machine science and we hope that it will contribute to the development of both mechanical engineering and applied mathematics