On Conformal Conic Mappings of Spherical Domains

The problem of the generation of homogeneous grids for spherical domains is considered in the class of conformal conic mappings. The equivalence between secant and tangent projections is shown and splitting the set of conformal conic mappings into equivalence classes is presented. The problem of min...

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Detalles Bibliográficos
Autores principales: Bourchtein, Andrei, Bourchtein, Ludmila
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3914382/
https://www.ncbi.nlm.nih.gov/pubmed/24558337
http://dx.doi.org/10.1155/2014/840280
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author Bourchtein, Andrei
Bourchtein, Ludmila
author_facet Bourchtein, Andrei
Bourchtein, Ludmila
author_sort Bourchtein, Andrei
collection PubMed
description The problem of the generation of homogeneous grids for spherical domains is considered in the class of conformal conic mappings. The equivalence between secant and tangent projections is shown and splitting the set of conformal conic mappings into equivalence classes is presented. The problem of minimization of the mapping factor variation is solved in the class of conformal conic mappings. Obtained results can be used in applied sciences, such as geophysical fluid dynamics and cartography, where the flattening of the Earth surface is required.
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spelling pubmed-39143822014-02-20 On Conformal Conic Mappings of Spherical Domains Bourchtein, Andrei Bourchtein, Ludmila ScientificWorldJournal Research Article The problem of the generation of homogeneous grids for spherical domains is considered in the class of conformal conic mappings. The equivalence between secant and tangent projections is shown and splitting the set of conformal conic mappings into equivalence classes is presented. The problem of minimization of the mapping factor variation is solved in the class of conformal conic mappings. Obtained results can be used in applied sciences, such as geophysical fluid dynamics and cartography, where the flattening of the Earth surface is required. Hindawi Publishing Corporation 2014-01-14 /pmc/articles/PMC3914382/ /pubmed/24558337 http://dx.doi.org/10.1155/2014/840280 Text en Copyright © 2014 A. Bourchtein and L. Bourchtein. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Bourchtein, Andrei
Bourchtein, Ludmila
On Conformal Conic Mappings of Spherical Domains
title On Conformal Conic Mappings of Spherical Domains
title_full On Conformal Conic Mappings of Spherical Domains
title_fullStr On Conformal Conic Mappings of Spherical Domains
title_full_unstemmed On Conformal Conic Mappings of Spherical Domains
title_short On Conformal Conic Mappings of Spherical Domains
title_sort on conformal conic mappings of spherical domains
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3914382/
https://www.ncbi.nlm.nih.gov/pubmed/24558337
http://dx.doi.org/10.1155/2014/840280
work_keys_str_mv AT bourchteinandrei onconformalconicmappingsofsphericaldomains
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