Correspondence between Topological and Discrete Connectivities in Hausdorff Discretization

We consider Hausdorff discretization from a metric space E to a discrete subspace D, which associates to a closed subset F of E any subset S of D minimizing the Hausdorff distance between F and S; this minimum distance, called the Hausdorff radius of F and written rH(F), is bounded by the resolution...

Full description

Bibliographic Details
Main Authors: Ronse Christian, Mazo Loic, Tajine Mohamed
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Mathematical Morphology
Subjects:
Online Access:https://doi.org/10.1515/mathm-2019-0001