Ω-Arithmetization of EllipsesReport as inadecuate




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1 MIA - Mathématiques, Image et Applications 2 SIC XLIM - XLIM, Université de Poitiers

Abstract : Multi-resolution analysis and numerical precision problems are very important subjects in fields like image analysis or geometrical modeling. In the continuation of our previous works, we propose to apply the method of Ω-arithmetization to ellipses. We obtain a discrete multi-resolution representation of arcs of ellipses. The corresponding algorithms are completely constructive and thus, can be exactly translated into functional computer programs. Moreover, we give a global condition for the connectivity of the discrete curves generated by the method at every scale.

Keywords : discrete geometry multi-resolution analysis nonstandard analysis





Author: Agathe Chollet - Guy Wallet - Eric Andres - Laurent Fuchs - Gaëlle Largeteau-Skapin - Aurélie Richard -

Source: https://hal.archives-ouvertes.fr/



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