A boundary approach for set inversion - ENSTA Bretagne - École nationale supérieure de techniques avancées Bretagne Accéder directement au contenu
Article Dans Une Revue Engineering Applications of Artificial Intelligence Année : 2021

A boundary approach for set inversion


In the paper, we present a new interval-based set inversion algorithm which takes into account the continuity of the problem. In the case where the set Y to be inverted has some volume, we show that inverting the boundary ∂Y of Y is sufficient to reconstruct the preimage X=f−1(Y). The inversion of ∂Y separates the domain of f into two regions: one inside X and one outside. To detect which part is inside or outside, we show that we can retro-propagate the information coming from Y at negligible cost. The efficiency of the approach is illustrated on a localization problem.
Fichier principal
Vignette du fichier
paper_sepbox.pdf (1.21 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03151977 , version 1 (25-02-2021)



Luc Jaulin. A boundary approach for set inversion. Engineering Applications of Artificial Intelligence, 2021, 100, pp.104184. ⟨10.1016/j.engappai.2021.104184⟩. ⟨hal-03151977⟩
30 Consultations
71 Téléchargements



Gmail Facebook Twitter LinkedIn More