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EnglishDimension is a fundamental concept in topology. Mylopoulos and Pavlidis provided a definition for discrete spaces. In the present paper we propose an alternative one for the case of planar digital objects. It makes up certain shortcomings of the definition and implies dimensionality properties analogous to those familiar from classical topology. We also establish relations between dimension of digital objects and their Euler characteristic.
| Titolo: | On the Notion of Dimension in Digital Spaces |
| Autori: | |
| Data di pubblicazione: | 2006 |
| Rivista: | |
| Abstract: | Dimension is a fundamental concept in topology. Mylopoulos and Pavlidis provided a definition for discrete spaces. In the present paper we propose an alternative one for the case of planar digital objects. It makes up certain shortcomings of the definition and implies dimensionality properties analogous to those familiar from classical topology. We also establish relations between dimension of digital objects and their Euler characteristic. |
| Handle: | http://hdl.handle.net/11570/1841207 |
| Appare nelle tipologie: | 14.a.2 Proceedings in extenso su rivista |
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