{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T16:17:04Z","timestamp":1778689024247,"version":"3.51.4"},"reference-count":79,"publisher":"Informa UK Limited","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Geographical Information Science"],"published-print":{"date-parts":[[2008,5]]},"DOI":"10.1080\/13658810701517120","type":"journal-article","created":{"date-parts":[[2008,3,25]],"date-time":"2008-03-25T23:11:08Z","timestamp":1206486668000},"page":"547-574","source":"Crossref","is-referenced-by-count":29,"title":["Modelling three\u2010dimensional geoscientific fields with the Voronoi diagram and its dual"],"prefix":"10.1080","volume":"22","author":[{"given":"H.","family":"Ledoux","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C. M.","family":"Gold","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1145\/355780.355786"},{"key":"ref3","first-page":"253","volume-title":"Geographical Information Systems (second edn)","author":"Anselin L.","year":"1999"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0032241"},{"key":"ref5","volume-title":"Interactive Spatial Data Analysis","author":"Bailey T. C.","year":"1995"},{"key":"ref6","first-page":"155","volume-title":"Three Dimensional Applications in Geographic Information Systems","author":"Bak P. R. G.","year":"1989"},{"key":"ref7","volume-title":"Proceedings of the Interactive Symposium on AWIPS","author":"Barjenbruch D. B.","year":"2002"},{"key":"ref8","first-page":"267","volume-title":"Proceedings of the 8th International Symposium on Spatial Data Handling","author":"Bernard L.","year":"1998"},{"key":"ref9","first-page":"58","volume-title":"Environmental Modeling with GIS","author":"Berry J. K.","year":"1993"},{"key":"ref10","volume-title":"Proceedings of the ArcGIS Atmospheric Data Modeling Workshop","author":"Betancourt T.","year":"2004"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/S0925-7721(01)00054-2","volume":"22","author":"Boissonnat J. D.","year":"2002","journal-title":"Computational Geometry\u2014Theory and Applications"},{"key":"ref12","first-page":"44","volume":"9","author":"Bruns H. T.","year":"1997","journal-title":"Journal of the Urban and Regional Information Systems Association"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1191\/030913303767888464"},{"key":"ref14","first-page":"3","volume-title":"Mathematical Visualization\u2014Algorithms, Applications, and Numerics","author":"Cignoni P.","year":"1998"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9671.2004.00175.x"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/3-540-55966-3_3","volume-title":"Theories and Methods of Spatio\u2010Temporal Reasoning in Geographic Space","author":"Couclelis H.","year":"1992"},{"key":"ref17","volume-title":"Proceedings GIS\/LIS '88","author":"Davis B. E.","year":"1988"},{"key":"ref18","first-page":"313","volume-title":"Proceedings of the 14th ACM\u2010SIAM Symposium on Discrete Algorithms (SODA)","author":"Devillers O.","year":"2003"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/BF01975867"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1145\/10515.10542"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1080\/014311697219015"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0032238"},{"key":"ref23","first-page":"21","author":"Gold C. M.","year":"1989","journal-title":"Three Dimensional Applications in Geographic Information Systems"},{"key":"ref24","first-page":"797","author":"Gold C. M.","year":"1993","journal-title":"Proceedings GIS'93: Eyes on the Future"},{"key":"ref25","first-page":"415","volume":"50","author":"Gold C. M.","year":"1996","journal-title":"Geomatica, Journal of the Canadian Institute of Geomatics"},{"key":"ref26","first-page":"11","volume":"1","author":"Gold C. M.","year":"1992","journal-title":"ITC Journal"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1080\/02693799608902080"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1080\/02693799208901893"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1080\/13658810310001629583"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/OCEANS.1997.624168"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1109\/2.16223","volume":"22","author":"Hoffmann C. M.","year":"1989","journal-title":"Computer\u2014IEEE Computer Society Press"},{"key":"ref33","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-79012-6","volume-title":"3D Geoscience Modeling: Computer Techniques for Geological Characterization","author":"Houlding S. W.","year":"1994"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/s004100050206"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1080\/02693798908941493"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1080\/13658810500032362"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1145\/234313.234383"},{"key":"ref39","volume-title":"Proceedings of the 3rd International Conference on GeoComputation","author":"Kemp K. K.","year":"1998"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-4937(69)80005-8"},{"key":"ref41","unstructured":"Lattuada, R. 1998. \u201cA triangulation based approach to three dimensional geoscientific modeling.\u201d. PhD thesis, Department of Geography, Birkbeck College, University of London, London, UK"},{"key":"ref42","unstructured":"Ledoux, H. 2006. \u201cModelling three\u2010dimensional fields in geoscience with the Voronoi diagram and its dual.\u201d. PhD thesis. School of Computing, University of Glamorgan, 2006, Pontypridd, Wales, UK"},{"key":"ref43","first-page":"97","volume-title":"Developments in Spatial Data Handling\u201411th International Symposium on Spatial Data Handling","author":"Ledoux H.","year":"2004"},{"key":"ref44","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/3-540-35589-8_8","volume-title":"Progress in Spatial Data Handling\u201412th International Symposium on Spatial Data Handling","author":"Ledoux H.","year":"2006"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.3166\/rig.16.51-70"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1080\/15210609309379699"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1145\/37402.37422"},{"key":"ref48","volume-title":"Proceedings of the General Assembly 2006 of the European Geosciences Union (EGU 2006)","author":"Mackenzie J. R.","year":"2006"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1080\/02693799408901994"},{"key":"ref50","unstructured":"Matheron, G. 1971. \u201cThe theory of regionalised variables and its applications.\u201d. Les Cahiers du Centre de Morphologie Math\u00e9matique de Fontainebleu, Vol.\u00a05"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1559\/1523040053270765"},{"key":"ref52","unstructured":"Mioc, D. 2002. \u201cThe Voronoi spatio\u2010temporal data structure.\u201d. D\u00e9partement des Sciences G\u00e9omatiques, Universit\u00e9 Laval, Qu\u00e9bec, Canada"},{"key":"ref53","unstructured":"Mostafavi, M. A. 2006. \u201cPersonal communication\u201d."},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1080\/13658810310001620942"},{"key":"ref55","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/S0925-7721(98)00035-2","volume":"12","author":"Mucke E. P.","year":"1999","journal-title":"Computational Geometry\u2014Theory and Applications"},{"key":"ref56","volume-title":"Proceedings of the 84th Annual Meeting of the American Meteorological Society","author":"Nativi S.","year":"2004"},{"key":"ref57","volume-title":"Recent Advances and Issues in Oceanography","author":"Nichols C. R.","year":"2003"},{"key":"ref58","first-page":"47","volume":"1","author":"O'Conaill M. A.","year":"1992","journal-title":"ITC Journal"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1080\/02693799408901986"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1080\/02693799008941549"},{"key":"ref61","doi-asserted-by":"crossref","first-page":"66","DOI":"10.3138\/D794-N214-221R-23R5","volume":"21","author":"Peuquet D. J.","year":"1984","journal-title":"Cartographica"},{"key":"ref62","unstructured":"Peuquet, D. J., Smith, B. and Brogaard, B. 1999. \u201cThe ontology of fields: Report of a specialist meeting held under the auspices of the VARENIUS project.\u201d. National Center for Geographic Information and Analysis, Santa Barbara, CA, USA"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1023\/A:1011438215225"},{"key":"ref64","volume-title":"Three Dimensional Applications in Geographic Information Systems","author":"Raper J","year":"1989"},{"key":"ref65","doi-asserted-by":"crossref","unstructured":"Roos, T. 1991. \u201cDynamic Voronoi diagrams.\u201d. PhD thesis, Universit\u00e4t W\u00fcrzburg, Germany","DOI":"10.1007\/3-540-54891-2_17"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1995.tb06841.x"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1145\/356924.356930"},{"key":"ref68","first-page":"21","volume-title":"Interpreting Multivariate Data","author":"Sibson R.","year":"1981"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1126\/science.103.2684.677"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1080\/014904199273515"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(95)00028-B"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1016\/S0198-9715(98)00052-0"},{"key":"ref73","doi-asserted-by":"crossref","first-page":"69","DOI":"10.15807\/jorsj.29.69","volume":"29","author":"Suzuki A.","year":"1986","journal-title":"Journal of the Operations Research Society of Japan"},{"key":"ref74","unstructured":"Takeyama, M. 1996. \u201cGeo\u2010Algebra: A mathematical approach to integrating spatial modeling and GIS.\u201d. PhD thesis, Department of Geography, University of California, Santa Barbara, CA, USA"},{"key":"ref75","first-page":"127","volume-title":"Proceedings of the 1983 Harvard Computer Graphics Conference","author":"Tomlin C. D.","year":"1983"},{"key":"ref76","volume-title":"Quatitative Stereology","author":"Underwood E.","year":"1970"},{"key":"ref77","doi-asserted-by":"crossref","DOI":"10.1201\/b12572","volume-title":"Geographic Information Systems in Oceanography and Fisheries","author":"Valavanis V. D.","year":"2002"},{"key":"ref78","volume-title":"Proceedings FOSS\/GRASS Users Conference 2004","author":"Vitti A.","year":"2004"},{"key":"ref79","volume-title":"Contouring: A Guide to the Analysis and Display of Spatial Data","author":"Watson D. F.","year":"1992"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1145\/99308.99325"},{"key":"ref81","doi-asserted-by":"crossref","DOI":"10.4324\/9780203481554","volume-title":"GIS: A Computing Perspective, 2nd edn","author":"Worboys M. F.","year":"2004"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1016\/j.future.2003.11.012"}],"container-title":["International Journal of Geographical Information Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/13658810701517120","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,6]],"date-time":"2021-09-06T13:22:24Z","timestamp":1630934544000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/13658810701517120"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,5]]},"references-count":79,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2008,5]]}},"alternative-id":["10.1080\/13658810701517120"],"URL":"https:\/\/doi.org\/10.1080\/13658810701517120","relation":{},"ISSN":["1365-8816","1362-3087"],"issn-type":[{"value":"1365-8816","type":"print"},{"value":"1362-3087","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,5]]}}}