The notion of gap is quite important in combinatorial image analysis and it finds several useful applications in fields as CAD and computer graphics. On the other hand, dimension is a fundamental concept in General Topology and it was recently extended to digital objects. In this paper, we show that the dimension of a 2D digital object equipped with an adjacency relation A ( 2 f0; 1g) can be determinated by the number of its gaps besides some other parameters like the number of its pixel, vertices and edges.
A Note on Dimension and Gaps in Digital Geometry
MAIMONE, ANGELO;NORDO, Giorgio
2017-01-01
Abstract
The notion of gap is quite important in combinatorial image analysis and it finds several useful applications in fields as CAD and computer graphics. On the other hand, dimension is a fundamental concept in General Topology and it was recently extended to digital objects. In this paper, we show that the dimension of a 2D digital object equipped with an adjacency relation A ( 2 f0; 1g) can be determinated by the number of its gaps besides some other parameters like the number of its pixel, vertices and edges.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
anodagidg.pdf
solo gestori archivio
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
421.32 kB
Formato
Adobe PDF
|
421.32 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
a_note_on_dimension_and_gaps_in_digital_topology_2377-23642-1-PB.pdf
accesso aperto
Descrizione: Post print dell'articolo A Note on Dimension and Gaps in Digital Geometry
Tipologia:
Versione Editoriale (PDF)
Dimensione
343.29 kB
Formato
Adobe PDF
|
343.29 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
