Study on the digitization dual combinatorics and convex case

Loïc Mazo (1) , Étienne Baudrier (1)

1 ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie

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.

Mots clés: digitization; discretization

Domaines: Traitement des images [eess.IV]; Théorie des nombres [math.NT]

Loïc Mazo, Étienne Baudrier. Study on the digitization dual combinatorics and convex case. Discrete Geometry for Computer Imagery, Sep 2017, Vienna, Austria. ⟨10.1007/978-3-319-66272-5⟩. ⟨hal-01497127⟩