Function matching for Soviet-era table-based modified polyconic projections

dc.contributor.authorBildirici, IO
dc.contributor.authorIpbuker, C
dc.contributor.authorYanalak, M
dc.date.accessioned2020-03-26T17:03:36Z
dc.date.available2020-03-26T17:03:36Z
dc.date.issued2006
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractSome map projections are defined by table values rather than mathematical equations. The most popular and famous one in this category is the Robinson Projection. The Ginzburg projections, which were developed and used in the former Soviet Union, are among the other table-based world projections. A computational method is required in order to efficiently use these kinds of projections in Geographic Information Systems (GIS) and similar environments. Function matching for projections based on table values can be realized for a numerical forward transformation. Matched functions also allow the calculation of distortions in the projection easily. In this study, polynomials and radial basis functions, such as multiquadric and thin-plate spline functions, are applied to derive an analytical expression from an array of tabular coordinates. The tests are realized on three table-based polyconic projections, the Ginzburg IV, V and VI. The distortion characteristics of table-based projections are sought by using partial derivatives obtained through numerical approximation. The distortion analysis shows that the Ginzburg V has very reasonable distortions. A solution for the inverse transformation of these projections is also provided. With the awareness of such projections, more alternatives in seeking a suitable map projection in world-scale GIS applications can be proposed.en_US
dc.identifier.doi10.1080/13658810600665111en_US
dc.identifier.endpage795en_US
dc.identifier.issn1365-8816en_US
dc.identifier.issue7en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage769en_US
dc.identifier.urihttps://dx.doi.org/10.1080/13658810600665111
dc.identifier.urihttps://hdl.handle.net/20.500.12395/20506
dc.identifier.volume20en_US
dc.identifier.wosWOS:000238567200004en_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.subjectGISen_US
dc.subjectthe Ginzburg projectionsen_US
dc.subjectmodified polyconic projectionsen_US
dc.subjecttable-based projectionsen_US
dc.subjectpolynomial approximationen_US
dc.subjectradial basis functionsen_US
dc.titleFunction matching for Soviet-era table-based modified polyconic projectionsen_US
dc.typeArticleen_US

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