This paper identifies the total number of gaps of object pixels in a binary picture, which solves an open problem in 2D digital geometry (or combinatorial topology of binary pictures). We obtain a formula for the total number of gaps as a function of the number of object pixels (grid squares), vertices (corners of grid squares), holes, connected components, and 2 × 2 squares of pixels. It can be used to test a binary picture (or just one region: e.g., a digital curve) for gap-freeness.
The number of gaps in binary pictures
MAIMONE, ANGELOInvestigation
;NORDO, GiorgioInvestigation
;
2005
Abstract
This paper identifies the total number of gaps of object pixels in a binary picture, which solves an open problem in 2D digital geometry (or combinatorial topology of binary pictures). We obtain a formula for the total number of gaps as a function of the number of object pixels (grid squares), vertices (corners of grid squares), holes, connected components, and 2 × 2 squares of pixels. It can be used to test a binary picture (or just one region: e.g., a digital curve) for gap-freeness.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
The number of gaps in binary pictures.pdf
solo gestori archivio
Tipologia:
Versione Editoriale (PDF)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
116.17 kB
Formato
Adobe PDF
|
116.17 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
Caricamento pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
