Towards an invertible Euclidean reconstruction of a discrete object

Rodolphe Breton (1) , Isabelle Sivignon (2) , Florent Dupont (2) , Eric Andres (1)

1 SIC - SIGNAL-IMAGE-COMMUNICATION
2 LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information

An invertible Euclidean reconstruction method for a 2D curve is proposed. Hints on an extension to 3D are provided. The framework of this method is the discrete analytical geometry. The reconstruction result is more compact than classical methods such as the Marching Cubes. The notions of discrete cups and patches are introduced. patches are introduced.

Domaines: Traitement des images [eess.IV]; Géométrie algorithmique [cs.CG]

Rodolphe Breton, Isabelle Sivignon, Florent Dupont, Eric Andres. Towards an invertible Euclidean reconstruction of a discrete object. Discrete Geometry for Computer Imagery, 2003, Naples, Italy. pp.246-256, ⟨10.1007/978-3-540-39966-7_23⟩. ⟨hal-00185171⟩