{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,18]],"date-time":"2026-08-18T04:46:23Z","timestamp":1787028383626,"version":"build-2736575974"},"reference-count":43,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,7,20]],"date-time":"2023-07-20T00:00:00Z","timestamp":1689811200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004564","name":"Ministry of Education, Science and Technological Development of the Republic of Serbia","doi-asserted-by":"publisher","award":["451-03-47\/2023-01\/200102"],"award-info":[{"award-number":["451-03-47\/2023-01\/200102"]}],"id":[{"id":"10.13039\/501100004564","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJGI"],"abstract":"<jats:p>The rapid growth in Earth\u2019s global geospatial data necessitates an efficient system for organizing the data, facilitating data fusion from diverse sources, and promoting interoperability. Mapping the spheroidal surface of the planet presents significant challenges as it involves balancing distortion and splitting the surface into multiple partitions. The distortion decreases as the number of partitions increases, but, at the same time, the complexity of data processing increases since each partition represents a separate dataset and is defined in its own local coordinate system. In this paper, we propose the Dual Orthogonal Equidistant Cylindrical projection method to mitigate distortion and reduce the number of partitions. Additionally, we use the rotation of the graticule system on the globe to achieve the oblique aspect, which effectively minimizes average angular and areal distortions of Earth\u2019s landmass and reduces the interruption of continental plates caused by partition edges. By incorporating auxiliary latitudes and proposing an approximate authalic latitude, we further enhance the mapping of the ellipsoid onto the sphere, simplifying calculations. The experimental results demonstrate a substantial reduction in distortion and interruption of continental plates. With only two partitions, an average landmass angular distortion of less than 3.56 degrees and an average areal distortion of less than 1.07 were achieved.<\/jats:p>","DOI":"10.3390\/ijgi12070289","type":"journal-article","created":{"date-parts":[[2023,7,20]],"date-time":"2023-07-20T04:27:13Z","timestamp":1689827233000},"page":"289","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Efficient Distortion Mitigation and Partition Reduction in Mapping Global Geodata: Dual Orthogonal Equidistant Cylindrical Projection Approach"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5878-0164","authenticated-orcid":false,"given":"Aleksandar","family":"Dimitrijevi\u0107","sequence":"first","affiliation":[{"name":"Faculty of Electronic Engineering, University of Ni\u0161, 18104 Ni\u0161, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3057-7727","authenticated-orcid":false,"given":"Aleksandar","family":"Milosavljevi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Electronic Engineering, University of Ni\u0161, 18104 Ni\u0161, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dejan","family":"Ran\u010di\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Electronic Engineering, University of Ni\u0161, 18104 Ni\u0161, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"73","DOI":"10.5636\/jgg.15.73","article-title":"Integral and Spherical-Harmonic Analyses of the Geomagnetic Field for 1955.0, Part 2","volume":"15","author":"Vestine","year":"1963","journal-title":"J. Geomagn. Geoelectr."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1559\/152304099782294186","article-title":"Comparing Geometrical Properties of Global Grids","volume":"26","author":"Kimerling","year":"1999","journal-title":"Cartogr. Geogr. Inf. Sci."},{"key":"ref_3","unstructured":"Alborzi, H., and Samet, H. (2000, January 26\u201328). Augmenting SAND with a spherical data model. Proceedings of the First International Conference on Discrete Global Grids, Santa Barbara, CA, USA."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1559\/152304003100011090","article-title":"Geodesic Discrete Global Grid Systems","volume":"30","author":"Sahr","year":"2003","journal-title":"Cartogr. Geogr. Inf. Sci."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.cag.2015.06.006","article-title":"Ellipsoidal Clipmaps\u2014A planet-sized terrain rendering algorithm","volume":"52","year":"2015","journal-title":"Comput. Graph."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Kageyama, A., and Sato, T. (2004). Yin-Yang grid: An overset grid in spherical geometry. Geochem. Geophys. Geosystems, 5.","DOI":"10.1029\/2004GC000734"},{"key":"ref_7","unstructured":"Chan, F.K., and O\u2019Neill, E.M. (1975). Technology Report EPRF 2-75 (CSC), Naval Environmental Prediction Research Facility."},{"key":"ref_8","unstructured":"O\u2019Neill, E.M., and Laubscher, R.E. (1976). Technology Report NEPRF 3-76 (CSC), Naval Environmental Prediction Research Facility."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1086\/427976","article-title":"HEALPix: A framework for high-resolution discretization and fast analysis of data distributed on the sphere","volume":"622","author":"Hivon","year":"2005","journal-title":"Astrophys. J. (ApJ)"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"012012","DOI":"10.1088\/1755-1315\/34\/1\/012012","article-title":"The rHEALPix Discrete Global Grid System","volume":"34","author":"Gibb","year":"2016","journal-title":"IOP Conf. Ser. Earth Environ. Sci."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1139\/geomat-2018-0008","article-title":"The rHEALPix Discrete Global Grid System: Considerations for Canada","volume":"72","author":"Bowater","year":"2018","journal-title":"Geomatica"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"105656","DOI":"10.1016\/j.envsoft.2023.105656","article-title":"Discrete Global Grid Systems with quadrangular cells as reference frameworks for the current generation of Earth observation data cubes","volume":"162","author":"Lacasta","year":"2023","journal-title":"Environ. Model. Softw."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1043","DOI":"10.1007\/s00371-019-01708-4","article-title":"Survey of Cube Mapping Methods in Interactive Computer Graphics","volume":"36","author":"Lambers","year":"2020","journal-title":"Vis. Comput."},{"key":"ref_14","first-page":"259","article-title":"Comparison of Spherical Cube Map Projections Used in Planet-Sized Terrain Rendering","volume":"31","author":"Lambers","year":"2016","journal-title":"Facta Univ. Ser. Math. Inform."},{"key":"ref_15","unstructured":"Lerbour, R., Marvie, J.-E., and Gautron, P. (2010, January 1\u20134). Adaptive real-time rendering of planetary terrains. Proceedings of the Full Papers Proceedings: 18th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, Plzen, Czech Republic."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1080\/2151237X.2007.10129250","article-title":"Continuous Cube Mapping","volume":"12","author":"Grimm","year":"2007","journal-title":"J. Graph. GPU Game Tools"},{"key":"ref_17","unstructured":"Nowell, P. (2023, May 24). Mapping a Cube to a Sphere. Available online: http:\/\/mathproofs.blogspot.de\/2005\/07\/mapping-cube-to-sphere.html."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.cageo.2014.07.005","article-title":"Optimisation of global grids for high-resolution remote sensing data","volume":"72","author":"Sabel","year":"2014","journal-title":"Comput. Geosci."},{"key":"ref_19","unstructured":"Purss, M. (2023, May 24). Topic 21: Discrete Global Grid Systems Abstract Specification, OGC 15-104r5. Available online: http:\/\/docs.ogc.org\/as\/15-104r5\/15-104r5.html."},{"key":"ref_20","unstructured":"(2021). Geographic Information\u2014Discrete Global Grid Systems Specifications\u2014Part 1: Core Reference System and Operations, and Equal Area Earth Reference System (Standard No. ISO 19170-1:2021). Available online: https:\/\/www.iso.org\/standard\/32588.html."},{"key":"ref_21","unstructured":"Gibb, R. (2023, May 24). Topic 21\u2014Discrete Global Grid Systems\u2014Part 1 Core Reference system and Operations and Equal Area Earth Reference System, OGC 20-040r3. Available online: https:\/\/docs.ogc.org\/as\/20-040r3\/20-040r3.html."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"41","DOI":"10.5194\/agile-giss-3-41-2022","article-title":"Applied open-source Discrete Global Grid Systems","volume":"3","author":"Kmoch","year":"2022","journal-title":"AGILE GIScience Ser."},{"key":"ref_23","first-page":"63","article-title":"Datacubes: A Discrete Global Grid Systems Perspective","volume":"54","author":"Purss","year":"2019","journal-title":"Cartogr. Int. J. Geogr. Inf. Geovisualization"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Guo, H., Goodchild, M.F., and Annoni, A. (2020). Manual of Digital Earth, Springer. [1st ed.].","DOI":"10.1007\/978-981-32-9915-3"},{"key":"ref_25","unstructured":"(2023, May 24). Digital Earth. Available online: https:\/\/joint-research-centre.ec.europa.eu\/scientific-activities-z\/digital-earth_en."},{"key":"ref_26","unstructured":"(2023, May 24). Department of Defense, World Geodetic System 1984: Its Definition and Relationships with Local Geodetic Systems, Ver. 1.0.0, NGA.STND.0036_1.0.0_WGS84. Available online: https:\/\/nsgreg.nga.mil\/doc\/view?i=4085."},{"key":"ref_27","unstructured":"Petit, G., and Luzum, B. (2010). IERS Conventions, International Earth Rotation and Reference Systems Service. Available online: https:\/\/iers-conventions.obspm.fr."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"6109","DOI":"10.1002\/2016JB013098","article-title":"ITRF2014: A new release of the International Terrestrial Reference Frame modeling non-linear station motions","volume":"121","author":"Altamimi","year":"2016","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Snyder, J.P. (1987). Map projections: A working manual, US Geological Survey Professional Paper No.1395.","DOI":"10.3133\/pp1395"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"454","DOI":"10.2307\/2972482","article-title":"Latitude developments connected with geodesy and cartography: With tables including a table for Lambert equal-area meridional projection","volume":"28","author":"Adams","year":"1921","journal-title":"Am. Math. Mon."},{"key":"ref_31","unstructured":"Zdravkovi\u0107, M., Konjovi\u0107, Z., and Trajanovi\u0107, M. (2020). ICIST 2020 Proceedings, Information Society of Serbia."},{"key":"ref_32","first-page":"5","article-title":"Cartographic and geometric components of a global sampling design for environmental monitoring","volume":"19","author":"White","year":"1992","journal-title":"Cartogr. Geogr. Inf. Syst."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1080\/23729333.2016.1184554","article-title":"Map projection aspects","volume":"2","author":"Lapaine","year":"2016","journal-title":"Int. J. Cartogr."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/s10069-008-0013-z","article-title":"Ubiquitous interactive visualization of 3D mantle convection using a web-portal with Java and Ajax framework","volume":"13","author":"Greensky","year":"2008","journal-title":"Vis. Geosci."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.jcp.2013.10.026","article-title":"Global shallow water models based on multi-moment constrained finite volume method and three quasi-uniform spherical grids","volume":"271","author":"Chen","year":"2014","journal-title":"J. Comput. Phys."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"A48","DOI":"10.1051\/0004-6361\/201425025","article-title":"Three-dimensional simulations of core-collapse supernovae: From shock revival to shock breakout","volume":"577","author":"Wongwathanarat","year":"2015","journal-title":"Astron. Astrophys."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/j.patrec.2014.12.010","article-title":"Gradient operators for feature extraction from omnidirectional panoramic images","volume":"54","author":"Hara","year":"2015","journal-title":"Pattern Recognit. Lett."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"274","DOI":"10.3390\/geographies2020019","article-title":"Map Projections Classification","volume":"2","author":"Lapaine","year":"2022","journal-title":"Geographies"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1080\/17538947.2019.1576786","article-title":"Optimal orientations of discrete global grids and the Poles of Inaccessibility","volume":"13","author":"Barnes","year":"2020","journal-title":"Int. J. Digit. Earth"},{"key":"ref_40","unstructured":"Reichard, C.G. (2023, May 24). Atlas des Ganzen Erdkreises in der Central-Projection auf Fechs Tafeln Entworfen, Weimar, 1803. Available online: https:\/\/haab-digital.klassik-stiftung.de\/viewer\/image\/926414453."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1553","DOI":"10.1080\/17538947.2020.1748127","article-title":"A novel method of determining the optimal polyhedral orientation for discrete global grid systems applicable to regional-scale areas of interest","volume":"13","author":"Zhou","year":"2020","journal-title":"Int. J. Digit. Earth"},{"key":"ref_42","unstructured":"Fuller, R.B. (1975). Synergetics\u2014Explorations in the Geometry of Thinking, MacMillan Publishing Co. Inc."},{"key":"ref_43","unstructured":"Sandvik, B. (2023, May 24). World Borders Dataset ver. 0.3. Available online: https:\/\/thematicmapping.org\/downloads\/world_borders.php."}],"container-title":["ISPRS International Journal of Geo-Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2220-9964\/12\/7\/289\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:15:17Z","timestamp":1760127317000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2220-9964\/12\/7\/289"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,20]]},"references-count":43,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2023,7]]}},"alternative-id":["ijgi12070289"],"URL":"https:\/\/doi.org\/10.3390\/ijgi12070289","relation":{},"ISSN":["2220-9964"],"issn-type":[{"value":"2220-9964","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,20]]}}}