Next Article in Journal
Development of the Theory of Six Value Aggregation Paths in Network Modeling for Spatial Analyses
Next Article in Special Issue
Disdyakis Triacontahedron DGGS
Previous Article in Journal
Correlation Studies between Land Cover Change and Baidu Index: A Case Study of Hubei Province
Previous Article in Special Issue
Indexing Mixed Aperture Icosahedral Hexagonal Discrete Global Grid Systems
Article

General Method for Extending Discrete Global Grid Systems to Three Dimensions

Department of Computer Science, University of Calgary, Calgary, AB T2N 1N4, Canada
*
Author to whom correspondence should be addressed.
ISPRS Int. J. Geo-Inf. 2020, 9(4), 233; https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9040233
Received: 24 February 2020 / Revised: 20 March 2020 / Accepted: 8 April 2020 / Published: 10 April 2020
(This article belongs to the Special Issue Global Grid Systems)
Geospatial sensors are generating increasing amounts of three-dimensional (3D) data. While Discrete Global Grid Systems (DGGS) are a useful tool for integrating geospatial data, they provide no native support for 3D data. Several different 3D global grids have been proposed; however, these approaches are not consistent with state-of-the-art DGGSs. In this paper, we propose a general method that can extend any DGGS to the third dimension to operate as a 3D DGGS. This extension is done carefully to ensure any valid DGGS can be supported, including all refinement factors and non-congruent refinement. We define encoding, decoding, and indexing operations in a way that splits responsibility between the surface DGGS and the 3D component, which allows for easy transference of data between the 2D and 3D versions of a DGGS. As a part of this, we use radial mapping functions that serve a similar purpose as polyhedral projection in a conventional DGGS. We validate our method by creating three different 3D DGGSs tailored for three specific use cases. These use cases demonstrate our ability to quickly generate 3D global grids while achieving desired properties such as support for large ranges of altitudes, volume preservation between cells, and custom cell aspect ratio. View Full-Text
Keywords: discrete global grid system; 3D global grid; polyhedral grid; volume preservation discrete global grid system; 3D global grid; polyhedral grid; volume preservation
Show Figures

Figure 1

MDPI and ACS Style

Ulmer, B.; Hall, J.; Samavati, F. General Method for Extending Discrete Global Grid Systems to Three Dimensions. ISPRS Int. J. Geo-Inf. 2020, 9, 233. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9040233

AMA Style

Ulmer B, Hall J, Samavati F. General Method for Extending Discrete Global Grid Systems to Three Dimensions. ISPRS International Journal of Geo-Information. 2020; 9(4):233. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9040233

Chicago/Turabian Style

Ulmer, Benjamin, John Hall, and Faramarz Samavati. 2020. "General Method for Extending Discrete Global Grid Systems to Three Dimensions" ISPRS International Journal of Geo-Information 9, no. 4: 233. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9040233

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop