Formalizing a discrete model of the continuum in Coq from a discrete geometry perspective
This work presents a formalization of the discrete model of the continuum introduced by
Harthong (1989), the Harthong-Reeb line. This model was at the origin of important …
Harthong (1989), the Harthong-Reeb line. This model was at the origin of important …
Exploring the foundations of discrete analytical geometry in Isabelle/HOL
J Fleuriot - Automated Deduction in Geometry: 8th International …, 2011 - Springer
This paper gives an overview of the formalization of the Harthong-Reeb integer number
system (HR ω) in the proof-assistant Isabelle. The work builds on an existing mechanization …
system (HR ω) in the proof-assistant Isabelle. The work builds on an existing mechanization …
Foundational aspects of multiscale digitization
In this article, we describe the theoretical foundations of the Ω-arithmetization. This method
provides a multi-scale discretization of a continuous function that is a solution of a differential …
provides a multi-scale discretization of a continuous function that is a solution of a differential …
Formalismes non classiques pour le traitement informatique de la topologie et de la géométrie discrète
A Chollet - 2010 - theses.hal.science
L'objet de ce travail est l'utilisation de certains formalismes non classiques (analyses non
standard, analyses constructives) afin de proposer des bases théoriques nouvelles autour …
standard, analyses constructives) afin de proposer des bases théoriques nouvelles autour …
[PDF][PDF] Appela projet interne Icube: Transformations affines discretes pour la représentation du continu
N Magaud, L Mazo, MA Da Col - 2014 - dpt-info.u-strasbg.fr
7 Résumé L'utilisation de transformations affines ou linéaires–les rotations, symétries,
homothéties, transvections, etc.–est une opération courante en traitement d'image. Ces …
homothéties, transvections, etc.–est une opération courante en traitement d'image. Ces …