Characterization of bijective digitized rotations on the hexagonal grid - Archive ouverte HAL Access content directly
Journal Articles Journal of Mathematical Imaging and Vision Year : 2018

Characterization of bijective digitized rotations on the hexagonal grid

Abstract

Digitized rotations on discrete spaces are usually defined as the composition of a Euclidean rotation and a rounding operator; they are in general not bijective. Nevertheless, it is well known that digitized rotations defined on the square grid are bijective for some specific angles. This infinite family of angles has been characterized by Nouvel and Rémila and more recently by Roussillon and Cœurjolly. In this article, we characterize bijective digitized rotations on the hexagonal grid using arithmetical properties of the Eisenstein integers.
Fichier principal
Vignette du fichier
article.pdf (2.3 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01540772 , version 1 (16-06-2017)
hal-01540772 , version 2 (30-11-2017)

Identifiers

Cite

Kacper Pluta, Tristan Roussillon, David Cœurjolly, Pascal Romon, Yukiko Kenmochi, et al.. Characterization of bijective digitized rotations on the hexagonal grid. Journal of Mathematical Imaging and Vision, 2018, 60 (5), pp.707-716. ⟨10.1007/s10851-018-0785-1⟩. ⟨hal-01540772v2⟩
569 View
294 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More