Orthographic Projection
OrthographicProjection
The orthographic projection is a projection from infinity that preserves neither area nor angle. It is given by
x = cosphisin(lambda-lambda_0)
(1)
y = cosphi_1sinphi-sinphi_1cosphicos(lambda-lambda_0),
(2)
where phi is the latitude, lambda is the longitude, and lambda_0 and phi_1 are reference longitudes and latitudes, respectively.
The inverse transformations are
phi = [画像:sin^(-1)(coscsinphi_1+(ysinccosphi_1)/rho)]
(3)
where
rho = sqrt(x^2+y^2)
(5)
c = sin^(-1)rho
(6)
and the two-argument form of the inverse tangent function is best used for this computation.
See also
Stereographic Projection, Vertical Perspective ProjectionExplore with Wolfram|Alpha
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References
Snyder, J. P. Map Projections--A Working Manual. U. S. Geological Survey Professional Paper 1395. Washington, DC: U. S. Government Printing Office, pp. 145-153, 1987.Referenced on Wolfram|Alpha
Orthographic ProjectionCite this as:
Weisstein, Eric W. "Orthographic Projection." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/OrthographicProjection.html