Objective Sampling theory is one of the mainstays of modern signal processing and encompasses mathematical theory from harmonic analysis, functional analysis, operator theory, approximation theory and computational mathematics. It is a field with a vast amount of applications ranging from medical imaging (Magnetic Resonance Imaging and X-ray Computed Tomography) to sound engineering and image processing.The key to a successful mathematical sampling theory for use in applications is to have a model that fits the real world scenarios. And the main focus of this proposal is to emphasize the following: Due to the physical models that are the foundation of modern science one can heuristically say (from a signal processing point of view) that the world is analog (continuous-time or infinite-dimensional) whereas computer science is discrete (finite-dimensional). The gap between how we actually model the world and how we can carry out computations on a computer is a fundamental hurdle.We will in this proposal display and suggest new techniques in sampling theory that will help bridging the gap between the true model and the model used in computations. These techniques stem from recent developments in functional analysis and will ultimately provide tools that allow for improved reconstruction techniques for use in medical imaging, sound engineering and in signal processing in general. Fields of science engineering and technologyelectrical engineering, electronic engineering, information engineeringelectronic engineeringsignal processingnatural sciencescomputer and information sciencesnatural sciencesmathematicspure mathematicsmathematical analysisfunctional analysisengineering and technologymedical engineeringdiagnostic imagingmagnetic resonance imaging Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) FP7-PEOPLE-2011-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Call for proposal FP7-PEOPLE-2011-IEF See other projects for this call Funding Scheme MC-IEF - Intra-European Fellowships (IEF) Coordinator UNIVERSITAT WIEN Address Universitatsring 1 1010 Wien Austria See on map Region Ostösterreich Wien Wien Activity type Higher or Secondary Education Establishments Administrative Contact Hans Georg Feichtinger (Prof.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data
