Map Projections

DOI10.1007/978-3-540-36702-4zbMath1134.86001OpenAlexW4229972795MaRDI QIDQ3412795

Friedrich W. Krumm, Erik W. Grafarend

Publication date: 2 January 2007

Full work available at URL: https://doi.org/10.1007/978-3-540-36702-4

zbMATH Keywords

map projectionscartographic problems

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geophysics (86-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Geodesy, mapping problems (86A30)

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An octahedral equal area partition of the sphere and near optimal configurations of points ⋮ Area preserving maps and volume preserving maps between a class of polyhedrons and a sphere ⋮ Visualization of flat and curved spacetimes with simple cartography tools ⋮ A minimal atlas for the rotation group SO(3) ⋮ Uniform spherical grids via equal area projection from the cube to the sphere ⋮ Space gradiometry: tensor-valued ellipsoidal harmonics, the datum problem and application of the Lusternik-Schnirelmann category to construct a minimum atlas ⋮ An area preserving projection from the regular octahedron to the sphere ⋮ Uniform and refinable grids on elliptic domains and on some surfaces of revolution

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