Informatics, TU Vienna

Discrete Analytical Geometry: Basis and Applications

Vortrag im Rahmen des Informatik-Kolloquiums

Abstract

We will present the basis of discrete analytical geometry during this colloquium. Euclidean geometry as we know it today has been formalized by the antique greeks and analytical geometry has been around since, at least, Descartes. In discrete (pixel or Z2) geometry, we know how to generate and recognize simple objects (lines, circles, ...) like the greeks did two and half thousand years ago. Genuine object recognition requires however equations and analytical (cartesian) definitions of discrete objects. During this presentation, we will show how, in discrete geometry, we can go from the greeks to Descartes. We will present several applications in image and video denoising, wave propagation simulation, recognition and reconstruction problems, ...

Biography

Eric Andres defended his PhD in 1992 at the University Louis Pasteur in Strasbourg (France). He worked 2 years at the Roswell Park Cancer Institute (Buffalo, USA) and received an award at the international medical imaging 1996 conference. In 1997, Eric Andres was recruited as assistant professor at the University of Poitiers at the computer science department. He is full time professor at the same university since 2001. His main field of interest are discrete geometry and its applications. He developped the idea of analytical model in discrete geometry and worked on various theoretical aspects in discrete geometry. This work has been used in several different applications such as geology, wave propagation simulation, video denoising, 3D reconstruction, pattern recognition, etc.

Im Anschluss lädt die Fakultät für Informatik zur informellen Diskussion bei Snacks und Erfrischungen.

Kontakt an der TU Wien:
Prof. Dr. Walter Kropatsch | T: 58801-18350 | E: krw@prip.tuwien.ac.at

Die Finanzierung dieser Veranstaltung erfolgt durch das Institut für Rechnergestützte Automation, Arbeitsgruppe PRIP und die TU Wien.