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Equidistant, Equal-Area, and other Azimuthal projections.
Classes Equidistant, EquidistantExact, EquidistantGeodSolve, EquidistantKarney, Gnomonic, GnomonicExact, GnomonicKarney, LambertEqualArea, Orthographic and Stereographic, classes AzimuthalError, Azimuthal7Tuple and functions equidistant and gnomonic.
EquidistantExact and GnomonicExact are based on exact geodesic GeodesicExact and GeodesicLineExact, Python versions of Karney's C++ original GeodesicExact, respectively GeodesicLineExact.
Using EquidistantGeodSolve requires Karney's utility GeodSolve to be available and set in env variable
PYGEODESY_GEODSOLVE
, see module geodsolve for
more details.
EquidistantKarney and GnomonicKarney require Charles Karney's Python geographiclib package to be installed.
Other azimuthal classes implement only (**) Snyder's FORMULAS FOR THE SPHERE and use those for any datum, spherical and ellipsoidal. The radius used for the latter is the ellipsoid's mean radius of curvature at the latitude of the projection center point. For further justification, see the first paragraph under Snyder's FORMULAS FOR THE ELLIPSOID, page 197.
Page numbers in Snyder
references apply to John P.
Snyder, "Map Projections -- A Working Manual", 1987.
See also here, especially the Comparison of the Azimuthal equidistant projection and some azimuthal projections centred on 90° N at the same scale, ordered by projection altitude in Earth radii.
Version: 21.05.19
Classes | |
_AzimuthalBase (INTERNAL) Base class for azimuthal projections. |
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AzimuthalError An azimuthal Equidistant, EquidistantKarney, Gnomonic, LambertEqualArea, Orthographic, Stereographic or Azimuthal7Tuple issue. |
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Azimuthal7Tuple 7-Tuple (x, y, lat, lon, azimuth, scale, datum) , in
meter , meter , degrees90 ,
degrees180 , degrees360 ,
scalar and Datum where (x,
y) is the projected easting and northing of point,
(lat, lon) the geodetic location, azimuth
the azimuth direction clockwise from true North and
scale is the projection scale, either 1 /
reciprocal or 1 or -1 in the Equidistant case.
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Equidistant Azimuthal equidistant projection for the sphere**, see Snyder, pp 195-197 and MathWorld-Wolfram. |
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EquidistantExact Azimuthal equidistant projection, a Python version of Karney's C++ class AzimuthalEquidistant, based on exact geodesic classes GeodesicExact. |
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EquidistantGeodSolve Azimuthal equidistant projection, a Python version of Karney's C++ class AzimuthalEquidistant, based on exact geodesic classes GeodesicSolve. |
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EquidistantKarney Azimuthal equidistant projection, a Python version of Karney's C++ class AzimuthalEquidistant, requiring package geographiclib to be installed. |
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Gnomonic Azimuthal gnomonic projection for the sphere**, see Snyder, pp 164-168 and MathWorld-Wolfram. |
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GnomonicExact Azimuthal gnomonic projection, a Python version of Karney's C++ class Gnomonic, based on exact geodesic classes GeodesicExact and GeodesicLineExact. |
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GnomonicKarney Azimuthal gnomonic projection, a Python version of Karney's C++ class Gnomonic, requiring package geographiclib to be installed. |
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LambertEqualArea Lambert-equal-area projection for the sphere** (aka Lambert zenithal equal-area projection, see Snyder, pp 185-187 and MathWorld-Wolfram. |
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Orthographic Orthographic projection for the sphere**, see Snyder, pp 148-153 and MathWorld-Wolfram. |
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Stereographic Stereographic projection for the sphere**, see Snyder, pp 157-160 and MathWorld-Wolfram. |
Functions | |||
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Variables | |
__all__ = _ALL_LAZY.azimuthal
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Function Details |
Return an EquidistantExact or (if Karney's geographiclib package is installed) an EquidistantKarney, otherwise an Equidistant instance.
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Return a GnomonicExact or (if Karney's geographiclib package is installed), a GnomonicKarney, otherwise a Gnomonic instance.
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