Final Report Summary - GLOBALVISION (Global Optimization Methods in Computer Vision, Pattern Recognition and Medical Imaging)
Computer vision concerns itself with understanding the real world through the analysis of images. Typical problems are object recognition, medical image segmentation, geometric reconstruction problems and navigation of autonomous vehicles. Such problems often lead to complicated optimization problems with a mixture of discrete and continuous variables, or even infinite dimensional variables in terms of curves and surfaces. This project has significantly advanced the state-of-the-art in solving these problems by developing new theory and methods with guaranteed performance, whereas many previous approaches relied on heuristics that generate only locally optimal solutions of various qualities.