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| author | Kristian Evers <kristianevers@gmail.com> | 2018-04-30 22:42:59 +0200 |
|---|---|---|
| committer | Kristian Evers <kristianevers@gmail.com> | 2018-04-30 22:57:05 +0200 |
| commit | 970d708ff9d796f7d9ec00b22023e835fbdc7f2d (patch) | |
| tree | cbee11737ed36f20e51ba19c9e8faa757e79ac0d /docs/source/operations/projections/gall.rst | |
| parent | cd23e5f1b2630ee07567bd361373ba725774061b (diff) | |
| download | PROJ-970d708ff9d796f7d9ec00b22023e835fbdc7f2d.tar.gz PROJ-970d708ff9d796f7d9ec00b22023e835fbdc7f2d.zip | |
Refactor operation doc pages
Extended the use of the :option: directive to all currently written
operation doc pages. In the process several more default parameters were
added for easy inclusion in other doc pages.
Expanded the info tables for each operation with "domain", "alias",
"input type" and "output type".
Corrected various errors along the way. Mainly formatting errors and
references to invalid parameters such as +sym in hatano.
Diffstat (limited to 'docs/source/operations/projections/gall.rst')
| -rw-r--r-- | docs/source/operations/projections/gall.rst | 48 |
1 files changed, 34 insertions, 14 deletions
diff --git a/docs/source/operations/projections/gall.rst b/docs/source/operations/projections/gall.rst index b9120d9f..bdb88895 100644 --- a/docs/source/operations/projections/gall.rst +++ b/docs/source/operations/projections/gall.rst @@ -7,22 +7,26 @@ Gall (Gall Stereographic) The Gall stereographic projection, presented by James Gall in 1855, is a cylindrical projection. It is neither equal-area nor conformal but instead tries to balance the distortion inherent in any projection. -+---------------------+--------------------------------------------------------------------------------+ -| **Classification** | Transverse and oblique cylindrical | -+---------------------+--------------------------------------------------------------------------------+ -| **Available forms** | Forward and inverse, Spherical | -+---------------------+--------------------------------------------------------------------------------+ -| **Defined area** | Global | -+---------------------+--------------------------------------------------------------------------------+ -| **Implemented by** | Gerald I. Evenden | -+---------------------+--------------------------------------------------------------------------------+ -| **Options** | No special options for this projection | -+---------------------+--------------------------------------------------------------------------------+ ++---------------------+----------------------------------------------------------+ +| **Classification** | Transverse and oblique cylindrical | ++---------------------+----------------------------------------------------------+ +| **Available forms** | Forward and inverse, Spherical | ++---------------------+----------------------------------------------------------+ +| **Defined area** | Global | ++---------------------+----------------------------------------------------------+ +| **Alias** | gall | ++---------------------+----------------------------------------------------------+ +| **Domain** | 2D | ++---------------------+----------------------------------------------------------+ +| **Input type** | Geodetic coordinates | ++---------------------+----------------------------------------------------------+ +| **Output type** | Projected coordinates | ++---------------------+----------------------------------------------------------+ .. image:: ./images/gall.png :scale: 50% - :alt: Gall (Gall Stereographic) + :alt: Gall (Gall Stereographic) Usage ##### @@ -38,7 +42,7 @@ Unlike the Mercator, the Gall shows the poles as lines running across the top an Example using Gall Stereographical :: - $ echo 9 51 | proj +proj=gall +lon_0=0 +x_0=0 +y_0=0 +ellps=WGS84 +datum=WGS84 +units=m +no_defs + $ echo 9 51 | proj +proj=gall +lon_0=0 +x_0=0 +y_0=0 +ellps=WGS84 +datum=WGS84 +units=m +no_defs 708432.90 5193386.36 Example using Gall Stereographical (Central meridian 90°W) :: @@ -46,6 +50,22 @@ Example using Gall Stereographical (Central meridian 90°W) :: $ echo 9 51 | proj +proj=gall +lon_0=90w +x_0=0 +y_0=0 +ellps=WGS84 +datum=WGS84 +units=m +no_defs 7792761.91 5193386.36 +Parameters +################################################################################ + +.. note:: All parameters for the projection are optional. + +.. include:: ../options/lon_0.rst + +.. include:: ../options/R.rst + +.. include:: ../options/x_0.rst + +.. include:: ../options/y_0.rst + +.. include:: ../options/ellps.rst + + Mathematical definition ####################### @@ -70,7 +90,7 @@ Inverse projection .. math:: - \phi = 2 \arctan( \frac{y}{1+\frac{\sqrt{2}}{2}} ) + \phi = 2 \arctan( \frac{y}{1+\frac{\sqrt{2}}{2}} ) .. math:: |
