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:
or inversely,
where û is the longitude from the central meridian of the projection, and àis the latitude. Meridians are thus about 0.733 the length of the equator.
In GIS applications, this projection is known as: "ESRI:54003" and "+proj=mill".
Compact Miller projection is similar to Miller but spacing between parallels stops growing after 55 degrees.
In GIS applications, this projection is known as: "ESRI:54080" and "+proj=comill".