Cel Computational geometry is a subfield of theoretical computer science devoted to the design andimplementation of geometric algorithms, as well as to their analysis, and to the combinatorialstructure that they manipulate. In particular, computational geometry encompasses a diversity ofoptimization problems. It is often infeasible in practice to find the optimal solution of a geometric optimization problem. This is because the optimum might typically be hard to compute. This suggests that instead of insisting on computing the exact solution for optimization problems, one should be satisfied with a possibly suboptimal solution that approximates the optimum reasonably well.The goal of this proposal is to consider optimization problems involving geometric objects in low dimensions, and design efficient algorithms that guarantee a good approximation for their solutions. Such problems have been well studied in abstract settings (that is, when the objects are abstract and no geometric properties are known), but their geometric variants have received much less attention, and the solutions to most of these problems have still remained elusive.This project suggests an interdisciplinary challenge. On the theoretical front, it aims to develop a set of mathematical tools taken from discrete geometry, such as geometric arrangements and epsilon nets, which exploit the geometric structure of the given setting. In fact, such tools can be exploited on a broader set of problems, and lie beyond the scope of the problems presented in this proposal. On the applied front, this problems have applications to other disciplines as sensor networking, computer graphics, geographic information systems, machine learning and more. In fact, the PI is collaborating with researchers from sensor networking and learning where she applies such mathematical tools in order to solve problems from the real world. Dziedzina nauki natural sciencesearth and related environmental sciencesphysical geographycartographygeographic information systemsnatural sciencescomputer and information sciencescomputational scienceengineering and technologyelectrical engineering, electronic engineering, information engineeringelectronic engineeringsensorsnatural sciencesmathematicspure mathematicsgeometrynatural sciencescomputer and information sciencesartificial intelligencemachine learning Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) FP7-PEOPLE-2012-CIG - Marie-Curie Action: "Career Integration Grants" Zaproszenie do składania wniosków FP7-PEOPLE-2012-CIG Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-CIG - Support for training and career development of researcher (CIG) Koordynator TEL AVIV UNIVERSITY Wkład UE € 100 000,00 Adres RAMAT AVIV 69978 Tel Aviv Izrael Zobacz na mapie Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Lea Pais (Ms.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych