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authorKristian Evers <kristianevers@gmail.com>2018-04-30 22:42:59 +0200
committerKristian Evers <kristianevers@gmail.com>2018-04-30 22:57:05 +0200
commit970d708ff9d796f7d9ec00b22023e835fbdc7f2d (patch)
treecbee11737ed36f20e51ba19c9e8faa757e79ac0d /docs/source/operations/projections/gall.rst
parentcd23e5f1b2630ee07567bd361373ba725774061b (diff)
downloadPROJ-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.rst48
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::