Minimum-Error Equal-Area Map Projections

Authors: Dyer, John A.; Snyder, John P.

Source: Cartography and Geographic Information Science, 1 January 1989, vol. 16, no. 1, pp. 39-46(8)


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An equal-area map projection minimizing scale variation within a desired region may be prepared by combining the principle of least squares with an iteration of three elementary equal-area transformations. Constants are determined on a one-time basis using the Gram-Schmidt orthonormalization procedure with any number of chosen points on the Earth sphere or ellipsoid for which minimal distortion is desired. A standard initial projection such as the Lambert Azimuthal Equal-Area is then transformed using these constants and the iterative transformations to produce the final equal-area projection with irregular lines of constant distortion suiting the chosen region.


Document Type: Research Article


Publication date: January 1, 1989

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