Human’s Digital Space – What about the Metrics?

Popovich, Vasily and Schrenk, Manfred (2017) Human’s Digital Space – What about the Metrics? REAL CORP 2017 – PANTA RHEI – A World in Constant Motion. Proceedings of 22nd International Conference on Urban Planning, Regional Development and Information Society. pp. 245-249. ISSN 2521-3938

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Abstract

At the recent conference, CORP 2016, the idea about free space around a human has been discussed. In GIS systems, there are 1D, 2D, 3D, 3D+t representations of geographical elements and others features. According to GIS applications, a human also can be regarded as an object of GIS presentation and investigation for end users, software agents etc. In this paper, we would like to continue our research regarding human’s digital space (HDS). A very important object of our discussion is a metric for HDS properties. However, if we are speaking about metrics, we should take a look at classical mathematics. A short review of mathematical definitions of space and their metrics is also discussed. Our preliminary research has shown that Hausdorff measure (a special mathematical measure used to calculate length, area and volume of non-specific figures) discovers new opportunities for realisation of different kinds of business logics in complex multidimensional and implicitly specified spaces. In HDS, investigation the Hausdorff measure could be used as an approach for numerical interpretation of HDS properties.

Item Type: Article
Uncontrolled Keywords: Human’s Digital Space, Hausdorff measure, GIS, 3D, Space definition
Subjects: G Geography. Anthropology. Recreation > GA Mathematical geography. Cartography
Depositing User: Maria Molnár
Date Deposited: 07 Sep 2017 15:16
Last Modified: 07 Sep 2017 15:16
URI: http://repository.corp.at/id/eprint/335

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