An iterative approach for inverse transformation of map projections

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dc.contributor.authorBildirici, Ibrahim Oztug
dc.date.accessioned2020-03-26T19:33:49Z
dc.date.available2020-03-26T19:33:49Z
dc.date.issued2017
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractMap projections are given by forward transformation equations. Inverse transformation is derived from forward transformation analytically or numerically. In this paper, a numerical approach for inverse transformation of map projections is proposed, which is based on numerical differentiation and Newton-Raphson root finding method. This approach can facilitate the program developments for map projections when inverse transformation is needed. Numerical differentiation is tested with three map projections. It is seen that seven-digit precision or more can be reached. Boundary conditions and initial guess problem in inverse transformation are discussed. In terms of initial guess, map projections are divided into three categories, and appropriate initial guess values for cylindrical, pseudocylindrical, azimuthal, and conical projections in normal aspect are suggested. Newton-Raphson method with numerical differentiation is tested with 20 different map projections by using test data sets. The results show that the proposed approach is applicable if appropriate initial guess is available.en_US
dc.identifier.doi10.1080/15230406.2016.1200492en_US
dc.identifier.endpage471en_US
dc.identifier.issn1523-0406en_US
dc.identifier.issn1545-0465en_US
dc.identifier.issue5en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage463en_US
dc.identifier.urihttps://dx.doi.org/10.1080/15230406.2016.1200492
dc.identifier.urihttps://hdl.handle.net/20.500.12395/34792
dc.identifier.volume44en_US
dc.identifier.wosWOS:000410842800008en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTAYLOR & FRANCIS INCen_US
dc.relation.ispartofCARTOGRAPHY AND GEOGRAPHIC 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.subjectinverse transformationen_US
dc.subjectnumerical differentiationen_US
dc.subjectNewton-Raphson methoden_US
dc.subjectnumerical analysisen_US
dc.titleAn iterative approach for inverse transformation of map projectionsen_US
dc.typeArticleen_US

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