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...
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 |
Similar Items
-
The μ-topological Hausdorff dimension
by: Hela Lofti
Published: (2019-12-01) -
Discrete Geometric Homotopy Theory and Critical Values of Metric Spaces
by: Wilkins, Leonard Duane
Published: (2011) -
Topological approximations of multisets
by: El-Sayed A. Abo-Tabl
Published: (2013-07-01) -
MORPHOLOGICAL SAMPLING OF CLOSED SETS
by: Christian Ronse, et al.
Published: (2011-05-01) -
Perfectly supportable semigroups are σ-discrete in
each Hausdorff shift-invariant topology
by: Banakh Taras, et al.
Published: (2013-05-01)