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Disdyakis Triacontahedron DGGS

Bibliographic Data

ID22033280
AuthorsJohn Hall (0000-0002-6453-8964, University of Calgary, corresponding author), Lakin Wecker (0000-0001-5253-7238, University of Calgary), Benjamin Ulmer (0000-0002-2387-8778, University of Calgary), Faramarz Samavati (University of Calgary), Faramarz F Samavati (0000-0001-9440-7562, University of Calgary)
Year2020
Volume9
Issue5
Pages315
Publication date2020-05-08
Open AccessYes
TypeARTICLE
VenueISPRS International Journal of Geo-Information (JOURNAL)
Journal identifiersISSN: 2220-9964 • E-ISSN: 2220-9964
PublisherMDPI AG (PUBLISHER • IT)
DOI10.3390/ijgi9050315
OpenAlexW3021556530
LanguageEN
Citations received6
References cited29

The amount of information collected about the Earth has become extremely large. With this information comes the demand for integration, processing, visualization and distribution of this data so that it can be leveraged to solve real-world problems. To address this issue, a carefully designed information structure is needed that stores all of the information about the Earth in a convenient format such that it can be easily used to solve a wide variety of problems. The idea which we explore is to create a Discrete Global Grid System (DGGS) using a Disdyakis Triacontahedron (DT) as the initial polyhedron. We have adapted a simple, closed-form, equal-area projection to reduce distortion and speed up queries. We have derived an efficient, closed-form inverse for this projection that can be used in important DGGS queries. The resulting construction is indexed using an atlas of connectivity maps. Using some simple modular arithmetic, we can then address point to cell, neighbourhood and hierarchical queries on the grid, allowing for these queries to be performed in constant time. We have evaluated the angular distortion created by our DGGS by comparing it to a traditional icosahedron DGGS using a similar projection. We demonstrate that our grid reduces angular distortion while allowing for real-time rendering of data across the globe

Algorithm · Data mining · Geometry · Grid · Modular design · Polyhedron · Visualization · Computer Graphics and Visualization Techniques · Computer Science · Data Management and Algorithms · Mathematics · Scientific Research and Discoveries · Theoretical Computer Science

  • Constructing Efficient Mesh-Based Global Grid Systems with Reduced Distortions

    Open Access•Lakin Wecker, John Hall et al.•ISPRS International Journal of…•2024

  • Perspective Charts in a Multi-Foci Globe-Based Visualization of Covid-19 Data

    Open Access•Mia MacTavish, Lakin Wecker et al.•ISPRS International Journal of…•2022

  • Efficient Calculation of Distance Transform on Discrete Global Grid Systems

    Open Access•Meysam Kazemi, Lakin Wecker et al.•ISPRS International Journal of…•2022

  • A GtoG Direct Coding Mapping Method for Multi-Type Global Discrete Grids Based on Space Filling Curves

    Open Access•Yalu Li, Xuesheng Zhao et al.•ISPRS International Journal of…•2022

  • Correlation Analysis and Reconstruction of the Geometric Evaluation Indicator System of the Discrete Global Grid

    Open Access•Zheng Wang, Xuesheng Zhao et al.•ISPRS International Journal of…•2021

  • Special Issue “Global Grid Systems”

    Open Access•Faramarz F Samavati, Troy Alderson•ISPRS International Journal of…•2020

  • Comparing Geometrical Properties of Global Grids

    Jon A Kimerling, Kevin Sahr et al.•Cartography and Geographic…•1999

  • Geodesic Discrete Global Grid Systems

    Kevin Sahr, Denis White et al.•Cartography and Geographic…•2003

  • Equal-Area Projection on the Icosahedron

    Open Access•A Day Bradley•Geographical Review•1946

Citations per year1
Citation span2020 - 2024 (5)
Highly citedNo

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