Miller cylindrical projection - Alchetron, the free social encyclopedia

The Miller cylindrical projection is a modified Mercator projection, proposed by Osborn Maitland Miller in 1942. The latitude is scaled by a factor of ⁴⁄₅, projected according to Mercator, and then the result is multiplied by ⁵⁄₄ to retain scale along the equator. Hence:

x = λ y = 5 4 ln ⁡ [ tan ⁡ ( π 4 + 2 φ 5 ) ] = 5 4 sinh − 1 ⁡ ( tan ⁡ 4 φ 5 )

or inversely,

λ = x φ = 5 2 tan − 1 ⁡ e 4 y 5 − 5 π 8 = 5 4 tan − 1 ⁡ ( sinh ⁡ 4 y 5 )

where λ is the longitude from the central meridian of the projection, and φ is the latitude. Meridians are thus about 0.733 the length of the equator.

In GIS applications, this projection is known as: "EPSG:54003 - World Miller Cylindrical"

Compact Miller projection is similar to Miller but spacing between parallels stops growing after 55 degrees.

References

Miller cylindrical projection Wikipedia

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