Miller cylindrical projection

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The Miller cylindrical projection is a modified Mercator projection, proposed by Osborn Maitland Miller in 1942. The latitude is scaled by a factor of 45, projected according to Mercator, and then the result is multiplied by 54 to retain scale along the equator.[1] Hence:

A Miller projection of the Earth.
Miller projection with 1,000 km indicatrices of distortion.

or inversely,

where λ is the longitude from the central meridian of the projection, and φ is the latitude.[2] Meridians are thus about 0.733 the length of the equator.

In GIS applications, this projection is known as: "ESRI:54003"[3] and "+proj=mill".[4]

Compact Miller projection is similar to Miller but spacing between parallels stops growing after 55 degrees.[5]

In GIS applications, this projection is known as: "ESRI:54080" and "+proj=comill".[6]

See also

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References

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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.
  2. ^ "Miller Cylindrical Projection". Wolfram MathWorld. Retrieved 25 March 2015.
  3. ^ "Projected coordinate systems". ArcGIS Resources: ArcGIS Rest API. ESRI. Retrieved 16 June 2017.
  4. ^ Open-source software PROJ
  5. ^ Patterson, Tom; Šavrič, Bojan; Jenny, Bernhard (2015). "Introducing the Patterson Cylindrical Projection". Cartographic Perspectives (78): 77–81. doi:10.14714/CP78.1270.
  6. ^ Open-source software PROJ
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