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Algorithmische Geometrie
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In dem Lehrbuch wird eine mathematisch orientierte Einfhrung in die algorithmische Geometrie gegeben werden. Im ersten Teil werden klassische Probleme und Techniken behandelt, die sich auf polyedrische (= linear begrenzte) Objekte beziehen. Hierzu gehren beispielsweise Algorithmen zur Berechnung konvexer Hllen und die Konstruktion von Voronoi-Diagrammen. Im zweiten Teil werden grundlegende Methoden der algorithmischen algebraischen Geometrie entwickelt und anhand von Anwendungen aus Computergrafik, Kurvenrekonstruktion und Robotik illustriert. Das Buch eignet sich fr ein fortgeschrittenes Modul in den derzeit neu konzipierten Bachelor-Studiengngen in Mathematik und Informatik.
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