title: On conformal conic mappings of spherical domains.
abstract: 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.
authors.affiliation: Institute of Physics and Mathematics, Pelotas State University, Brazil.
authors.forename: Andrei
authors.identifier: 0000-0001-5223-320X
authors.initials: A
authors.lastname: Bourchtein
authors.affiliation: Institute of Physics and Mathematics, Pelotas State University, Brazil.
authors.forename: Ludmila
authors.initials: L
authors.lastname: Bourchtein
mesh_terms: D000465:Algorithms; D062305:Geographic Mapping; D007089:Image Enhancement / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*