Study on the digitization dual combinatorics and convex case

Abstract : The action of a translation on a continuous object before its digitization generates several digitizations. The dual, introduced by the authors in a previous paper, stands for these digitizations in function of the translation parameters. This paper focuses on the combinatorics of the dual by making a link between the digitization number and the boundary curve, especially through its dual representation. The convex case is then studied and a few signicant examples are exhibited.
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Loïc Mazo, Étienne Baudrier. Study on the digitization dual combinatorics and convex case. Discrete Geometry for Computer Imagery, Sep 2017, Vienna, Austria. LNCS, 10502, 2017, DGCI 2017. 〈10.1007/978-3-319-66272-5〉. 〈hal-01497127〉

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