Miller Cylindrical Projection

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

\begin x &= \lambda \\ y &= \frac\ln\left tan\left(\frac + \frac\right)\right= \frac\sinh^\left(\tan\frac\right)\end

or inversely,

$\begin \lambda &= x \\ \varphi &= \frac\tan^e^\frac - \frac = \frac\tan^\left(\sinh\frac\right)\end$

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: "ESRI:54003 – World Miller Cylindrical".

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

See also

* List of map projections

References

External links

Math formulae information

Map projections
Cylindrical projections

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