Mixed cylindric map projections of the ellipsoid of revolution |
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Authors: | E W Grafarend R Syffus |
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Institution: | (1) Department of Geodetic Science, Stuttgart University, Geschwister-Scholl-Strasse 24D, D-70174 Stuttgart, Germany e-mail: grafarend@rus.uni-stuttgart.de, DE |
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Abstract: | The mixed spherical map projections of equiareal, cylindric type are based upon the Lambert projection and the sinusoidal
Sanson–Flamsteed projection. These cylindric and pseudo-cylindric map projections of the sphere are generalized to the ellipsoid
of revolution (biaxial ellipsoid). They are used in consequence by two lemmas to generate a horizontal and a vertical weighted
mean of equiareal cylindric map projections of the ellipsoid of revolution. Its left–right deformation analysis via further
results leads to the left–right principal stretches/eigenvalues and left–right eigenvectors/eigenspace, as well as the maximal
left–right angular distortion for these new mixed cylindric map projections of ellipsoidal type. Detailed illustrations document
the cartographic synergy of mixed cylindric map projections.
Received: 23 April 1996 / Accepted: 19 April 1997 |
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Keywords: | , Lambert projection ,, ,Sanson,Flamsteed pro- jection ,, ,Mixed cylindric map projections ,, ,Ellipsoid of revolution |
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