Miller cylindrical projection: Difference between revisions

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The Miller cylindrical projection is a modified Mercator projection, proposed by Osborn Maitland Miller (1897–1979) in 1942. The parallels of latitude are 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.^[1] Hence:

x=\lambda \,

y={\frac {5}{4}}\ln \left[\tan \left({\frac {1}{4}}\pi +{\frac {2}{5}}\phi \right)\right]

where λ is the longitude from the central meridian of the projection, and φ is the latitude.

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

References

^ Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, pp. 179, 183, ISBN 0-226-76747-7.

External links

Table of examples and properties of all common projections, from radicalcartography.net
An interactive Java Applet to study the metric deformations of the Miller Projection.
Math formulae information
Spatial information
Historical information

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[1] Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, pp. 179, 183, ISBN 0-226-76747-7.

[1]

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 [[Image:miller-projection.jpg|thumb|400px|A Miller projection of the [[Earth]].]]
-The '''Miller cylindrical projection''' is a modified [[Mercator projection]], proposed by [[Osborn Maitland Miller]] (1897&ndash;1979) in 1942.  The parallels of latitude are scaled by a factor of 2/5, projected according to Mercator, and then the result is multiplied by 5/4 to retain scale along the equator.<ref>''Flattening the Earth:  Two Thousand Years of Map Projections'', John P. Snyder, 1993, pp. 179, 183, ISBN 0-226-76747-7.</ref>  Hence:
+The '''Miller cylindrical projection''' is a modified [[Mercator projection]], proposed by [[Osborn Maitland Miller]] (1897&ndash;1979) in 1942.  The parallels of latitude are 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.<ref>''Flattening the Earth:  Two Thousand Years of Map Projections'', John P. Snyder, 1993, pp. 179, 183, ISBN 0-226-76747-7.</ref>  Hence:
 :<math>x = \lambda\,</math>