Curve Digitization Variability

Etienne Baudrier (1) , Loïc Mazo (1)

1 MIV

This paper presents a study on the set of digitizations generated by the action of a group of transformations on a continuous curve before the digitization step. An upper bound for the cardinal of this digitization set under the translation group action is exhibited. Then this bound is tested on several functions. Finally, a representation of this digitization set is proposed and an illustration of its potential use is given on a length estimator.

Domaines: Traitement des images [eess.IV]; Mathématique discrète [cs.DM]

Etienne Baudrier, Loïc Mazo. Curve Digitization Variability. 19th IAPR International Conference on Discrete Geometry for Computer Imagery (DGCI 2016), Apr 2016, Nantes, France. ⟨10.1007/978-3-319-32360-2_5⟩. ⟨hal-01314386⟩