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| author | Kristian Evers <kristianevers@gmail.com> | 2017-09-18 22:21:20 +0200 |
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| committer | Kristian Evers <kristianevers@gmail.com> | 2017-09-18 22:21:20 +0200 |
| commit | 6d1a1ff4e470bb4d26be46bdf01de3d94e6ab8e9 (patch) | |
| tree | 7bec3d77463fba3ff68ebabcc127ad504da0836d /docs/source/projections/mill.rst | |
| parent | 1f60b8c407ac202916cf4570683935fcca451531 (diff) | |
| download | PROJ-6d1a1ff4e470bb4d26be46bdf01de3d94e6ab8e9.tar.gz PROJ-6d1a1ff4e470bb4d26be46bdf01de3d94e6ab8e9.zip | |
Moved projection list to using chapter and created a list of transformations. Both are grouped in a section called operations.
Diffstat (limited to 'docs/source/projections/mill.rst')
| -rw-r--r-- | docs/source/projections/mill.rst | 72 |
1 files changed, 0 insertions, 72 deletions
diff --git a/docs/source/projections/mill.rst b/docs/source/projections/mill.rst deleted file mode 100644 index eb9c2092..00000000 --- a/docs/source/projections/mill.rst +++ /dev/null @@ -1,72 +0,0 @@ -.. _mill: - -******************************************************************************** -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 :math:`\frac{4}{5}`, projected according to Mercator, and then the result is multiplied by :math:`\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 | -+---------------------+--------------------------------------------------------------------------------+ -| **Implemented by** | Gerald I. Evenden | -+---------------------+--------------------------------------------------------------------------------+ -| **Options** | -+---------------------+--------------------------------------------------------------------------------+ -| `+lat_0` | Latitude of origin (Default to 0) | -+---------------------+--------------------------------------------------------------------------------+ - -.. image:: ./images/mill.png - :scale: 50% - :alt: Miller Cylindrical - -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 - -Mathematical definition -####################### - -The formulas describing the Miller projection are all taken from Snyder's manuals [Snyder1987]_. - - -Forward projection -================== - -.. math:: - - x = \lambda - -.. math:: - - y = 1.25 * \ln \left[ \tan \left(\frac{\pi}{4} + 0.4 * \phi \right) \right] - - -Inverse projection -================== - -.. math:: - - \lambda = x - -.. math:: - - \phi = 2.5 * ( \arctan \left[ e^{0.8 * y} \right] - \frac{\pi}{4} ) - -Further reading -############### - -#. `Wikipedia <https://en.wikipedia.org/wiki/Miller_cylindrical_projection>`_ - |