Miller Cylindrical¶
The Miller cylindrical projection is a modified Mercator projection, proposed by Osborn Maitland Miller in 1942. The latitude is scaled by a factor of \(\frac{4}{5}\), projected according to Mercator, and then the result is multiplied by \(\frac{5}{4}\) to retain scale along the equator.
Classification | Neither conformal nor equal area cylindrical |
Available forms | Forward and inverse spherical |
Defined area | Global, but best used near the equator |
Alias | mill |
Domain | 2D |
Input type | Geodetic coordinates |
Output type | Projected coordinates |
Usage¶
The Miller Cylindrical projection is used for world maps and in several atlases, including the National Atlas of the United States (USGS, 1970, p. 330-331) [Snyder1987].
Example using Central meridian 90°W:
$ echo -100 35 | proj +proj=mill +lon_0=90w
-1113194.91 4061217.24
Parameters¶
Note
All parameters for the projection are optional.
-
+lon_0
=<value>
¶ Longitude of projection center.
Defaults to 0.0.
-
+R
=<value>
¶ Radius of the sphere given in meters. If used in conjunction with
+ellps
+R
takes precedence.
-
+x_0
=<value>
¶ False easting.
Defaults to 0.0.
-
+y_0
=<value>
¶ False northing.
Defaults to 0.0.
Mathematical definition¶
The formulas describing the Miller projection are all taken from [Snyder1987].