Quasi indicatrix approach for distortion visualization and analysis for map projections

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dc.contributor.authorBildirici, Ibrahim Oztug
dc.date.accessioned2020-03-26T19:06:51Z
dc.date.available2020-03-26T19:06:51Z
dc.date.issued2015
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractTissot's indicatrix or ellipse of distortion is a diagram that is the projection of an infinitesimal circle on the original surface. It is normally an ellipse of which elongation depends on the amount of distortion caused by map projection. It provides a medium for analyzing existing projections and developing new ones. The ellipse can be scaled and depicted on the map for visualization purposes. This paper presents an alternative approach, in which the projection of a finite small circle on the sphere is used. Its projection is normally an ellipse that can be very close to Tissot's indicatrix, and is called quasi indicatrix, here. Its parameters can be derived from the forward projection equations without using partial derivatives. Therefore, it is a useful and practical approach from a programmer's point of view. The quasi indicatrix approach is also numerically tested on Aitoff-Hammer projection with a set of points. The indicatrix parameters obtained by using this approach deviate 0.5% from the ground truths at most, being the average less than 0.2%.en_US
dc.identifier.doi10.1080/13658816.2015.1074236en_US
dc.identifier.endpage2309en_US
dc.identifier.issn1365-8816en_US
dc.identifier.issn1362-3087en_US
dc.identifier.issue12en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2295en_US
dc.identifier.urihttps://dx.doi.org/10.1080/13658816.2015.1074236
dc.identifier.urihttps://hdl.handle.net/20.500.12395/32487
dc.identifier.volume29en_US
dc.identifier.wosWOS:000361533100012en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTAYLOR & FRANCIS LTDen_US
dc.relation.ispartofINTERNATIONAL JOURNAL OF GEOGRAPHICAL INFORMATION SCIENCEen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectmap projectionsen_US
dc.subjectTissot's indicatrixen_US
dc.subjectellipse of distortionen_US
dc.subjectconic sectionsen_US
dc.subjectprojection distortionsen_US
dc.titleQuasi indicatrix approach for distortion visualization and analysis for map projectionsen_US
dc.typeArticleen_US

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