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<appendix label="F" id="appendix-grid-mappings"> |
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<title>Grid Mappings</title> |
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<para> |
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Each recognized grid mapping is described in one of the sections |
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below. Each section contains: the valid name that is used with the |
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<varname>grid_mapping_name</varname> |
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attribute; a list of the specific attributes |
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that may be used to assign values to the mapping's parameters; |
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the standard names used to identify the coordinate variables that |
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contain the mapping's independent variables; and references to the |
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mapping's definition or other information that may help in using the |
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mapping. Since the attributes used to set a mapping's parameters may |
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be shared among several mappings, their definitions are contained |
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in a table in the final section. |
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<emphasis role="newtext">The attributes which describe the |
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ellipsoid and prime meridian may be included, when applicable, with |
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any grid mapping.</emphasis> |
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</para> |
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<para> |
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We have used the FGDC "Content Standard for Digital Geospatial |
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Metadata" |
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<biblioref linkend="fgdc"/> |
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as a guide in choosing the values for |
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<varname>grid_mapping_name</varname> |
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and the attribute names for the parameters |
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describing map projections. |
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</para> |
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|
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<simplesect> |
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<title>Albers Equal Area</title> |
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<programlisting> |
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<varname>grid_mapping_name</varname> = albers_conical_equal_area |
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</programlisting> |
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<variablelist> |
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<varlistentry> |
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<term><emphasis>Map parameters:</emphasis></term> |
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<listitem> |
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<para> |
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<itemizedlist> |
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<listitem> |
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<para> |
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<varname>standard_parallel</varname> - There may be 1 or 2 values. |
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</para> |
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</listitem> |
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<listitem> |
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<para><varname>longitude_of_central_meridian</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>latitude_of_projection_origin</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>false_easting</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>false_northing</varname></para> |
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</listitem> |
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</itemizedlist> |
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</para> |
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</listitem> |
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</varlistentry> |
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|
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<varlistentry> |
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<term><emphasis>Map coordinates:</emphasis></term> |
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<listitem> |
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<para> |
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The x (abscissa) and y (ordinate) rectangular coordinates |
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are identified by the <varname>standard_name</varname> |
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attribute values <varname>projection_x_coordinate</varname> and |
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<varname>projection_y_coordinate</varname> respectively. |
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</para> |
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</listitem> |
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</varlistentry> |
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|
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<varlistentry> |
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<term><emphasis>Notes:</emphasis></term> |
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<listitem> |
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<para> |
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Notes on using the <varname>PROJ.4</varname> software package for computing the mapping may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/albers_equal_area_conic.html">http://www.remotesensing.org/geotiff/proj_list/albers_equal_area_conic.html</ulink>. |
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</para> |
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</listitem> |
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</varlistentry> |
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</variablelist> |
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</simplesect> |
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|
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<simplesect id="azimuthal-equidistant"> |
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<title>Azimuthal equidistant</title> |
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<para> |
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<programlisting> |
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<varname>grid_mapping_name</varname> = azimuthal_equidistant |
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</programlisting> |
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|
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<variablelist> |
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<varlistentry> |
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<term><emphasis>Map parameters:</emphasis></term> |
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<listitem> |
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<para> |
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<itemizedlist> |
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<listitem> |
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<para><varname>longitude_of_projection_origin</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>latitude_of_projection_origin</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>false_easting</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>false_northing</varname></para> |
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</listitem> |
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</itemizedlist> |
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</para> |
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</listitem> |
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</varlistentry> |
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|
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<varlistentry> |
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<term><emphasis>Map coordinates:</emphasis></term> |
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<listitem> |
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<para> |
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The x (abscissa) and y (ordinate) rectangular coordinates |
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are identified by the <varname>standard_name</varname> attribute values |
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<varname>projection_x_coordinate</varname> |
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and <varname>projection_y_coordinate</varname> respectively. |
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</para> |
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</listitem> |
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</varlistentry> |
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|
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<varlistentry> |
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<term><emphasis>Notes:</emphasis></term> |
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<listitem> |
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<para> |
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Notes on using the <varname>PROJ.4</varname> software package for computing the mapping may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/azimuthal_equidistant.html">http://www.remotesensing.org/geotiff/proj_list/azimuthal_equidistant.html</ulink>. |
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</para> |
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</listitem> |
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</varlistentry> |
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</variablelist> |
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</para> |
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</simplesect> |
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|
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<simplesect id="lambert-azimuthal-equal-area"> |
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<title>Lambert azimuthal equal area</title> |
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<para> |
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<programlisting> |
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<varname>grid_mapping_name</varname> = lambert_azimuthal_equal_area |
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</programlisting> |
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|
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<variablelist> |
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<varlistentry> |
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<term><emphasis>Map parameters:</emphasis></term> |
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<listitem> |
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<para> |
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<itemizedlist> |
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<listitem> |
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<para><varname>longitude_of_projection_origin</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>latitude_of_projection_origin</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>false_easting</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>false_northing</varname></para> |
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</listitem> |
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</itemizedlist> |
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</para> |
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</listitem> |
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</varlistentry> |
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|
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<varlistentry> |
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<term><emphasis>Map coordinates:</emphasis></term> |
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<listitem> |
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<para> |
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The x (abscissa) and y (ordinate) rectangular coordinates |
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are identified by the <varname>standard_name</varname> attribute values |
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<varname>projection_x_coordinate</varname> |
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and <varname>projection_y_coordinate</varname> respectively. |
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</para> |
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</listitem> |
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</varlistentry> |
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180 |
|
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<varlistentry> |
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<term><emphasis>Notes:</emphasis></term> |
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<listitem> |
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<para> |
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Notes on using the <varname>PROJ.4</varname> software package for computing the mapping may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/lambert_azimuthal_equal_area.html">http://www.remotesensing.org/geotiff/proj_list/lambert_azimuthal_equal_area.html</ulink>. |
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</para> |
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</listitem> |
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</varlistentry> |
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</variablelist> |
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</para> |
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</simplesect> |
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|
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<simplesect> |
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<title>Lambert conformal</title> |
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<para> |
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<programlisting> |
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<varname>grid_mapping_name</varname> = lambert_conformal_conic |
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</programlisting> |
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|
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<variablelist> |
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<varlistentry> |
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<term><emphasis>Map parameters:</emphasis></term> |
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<listitem> |
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<para> |
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<itemizedlist> |
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<listitem> |
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<para><varname>standard_parallel</varname> - There may be 1 or 2 values.</para> |
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</listitem> |
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<listitem> |
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<para><varname>longitude_of_central_meridian</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>latitude_of_projection_origin</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>false_easting</varname></para> |
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</listitem> |
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<listitem> |
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<para><varname>false_northing</varname></para> |
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</listitem> |
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</itemizedlist> |
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</para> |
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</listitem> |
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</varlistentry> |
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|
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<varlistentry> |
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<term><emphasis>Map coordinates:</emphasis></term> |
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<listitem> |
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<para> |
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The x (abscissa) and y (ordinate) rectangular coordinates |
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are identified by the <varname>standard_name</varname> attribute values |
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<varname>projection_x_coordinate</varname> |
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and <varname>projection_y_coordinate</varname> respectively. |
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</para> |
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</listitem> |
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</varlistentry> |
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|
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<varlistentry> |
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<term><emphasis>Notes:</emphasis></term> |
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<listitem> |
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<para> |
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Notes on using the <varname>PROJ.4</varname> software package for computing the mapping may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/lambert_conic_conformal_2sp.html">http://www.remotesensing.org/geotiff/proj_list/lambert_conic_conformal_2sp.html</ulink>. |
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</para> |
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</listitem> |
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</varlistentry> |
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</variablelist> |
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</para> |
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</simplesect> |
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|
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|
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<simplesect> |
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<title> |
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<emphasis role="newtext">Lambert Cylindrical Equal Area</emphasis> |
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</title> |
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<programlisting> |
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<emphasis role="newtext"><varname>grid_mapping_name</varname> = lambert_cylindrical_equal_area</emphasis> |
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</programlisting> |
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<variablelist> |
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<varlistentry> |
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<term><emphasis><emphasis role="newtext">Map parameters:</emphasis></emphasis></term> |
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<listitem><para><emphasis role="newtext"> |
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<itemizedlist> |
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<listitem> |
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<emphasis role="newtext"><varname>longitude_of_central_meridian</varname></emphasis> |
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</listitem> |
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<listitem> |
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<emphasis role="newtext">Either <varname>standard_parallel</varname> or <varname>scale_factor_at_projection_origin</varname></emphasis> |
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</listitem> |
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<listitem> |
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<emphasis role="newtext"><varname>false_easting</varname></emphasis> |
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</listitem> |
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<listitem> |
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<emphasis role="newtext"><varname>false_northing</varname></emphasis> |
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</listitem> |
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</itemizedlist> |
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</emphasis></para></listitem> |
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</varlistentry> |
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<varlistentry> |
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<term><emphasis><emphasis role="newtext">Map coordinates:</emphasis></emphasis></term> |
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<listitem><para><emphasis role="newtext"> |
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<emphasis role="newtext">The x (abscissa) and y (ordinate) rectangular coordinates are identified by the <varname>standard_name</varname> attribute value <varname>projection_x_coordinate</varname> and <varname>projection_y_coordinate</varname> respectively.</emphasis> |
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</emphasis></para></listitem> |
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</varlistentry> |
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<varlistentry> |
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<term><emphasis><emphasis role="newtext">Notes:</emphasis></emphasis></term> |
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<listitem><para><emphasis role="newtext"> |
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Notes on using the PROJ.4 software packages for computing the mapping may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/cylindrical_equal_area.html">http://www.remotesensing.org/geotiff/proj_list/cylindrical_equal_area.html</ulink> ("Lambert Cylindrical Equal Area" or EPSG 9834 or EPSG 9835). Detailed formulas can be found in [Snyder] pages 76-85. |
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</emphasis></para></listitem> |
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</varlistentry> |
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</variablelist> |
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</simplesect> |
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|
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|
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<simplesect> |
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<title><emphasis role="newtext">Latitude-Longitude</emphasis></title> |
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<programlisting> |
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<emphasis role="newtext"><varname>grid_mapping_name</varname> = latitude_longitude</emphasis> |
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</programlisting> |
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<para><emphasis role="newtext"> |
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This grid mapping defines the canonical 2D geographical |
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coordinate system based upon latitude and longitude |
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coordinates on a spherical Earth. It is included so |
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that the figure of the Earth can be described. |
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</emphasis></para> |
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<variablelist> |
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<varlistentry> |
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<term><emphasis><emphasis role="newtext">Map parameters:</emphasis></emphasis></term> |
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<listitem><para><emphasis role="newtext"> |
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None. |
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</emphasis></para></listitem> |
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</varlistentry> |
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<varlistentry> |
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<term><emphasis><emphasis role="newtext">Map coordinates:</emphasis></emphasis></term> |
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<listitem><para><emphasis role="newtext"> |
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The rectangular coordinates are longitude and latitude |
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identified by the usual conventions |
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(<xref linkend="latitude-coordinate"/> and <xref linkend="longitude-coordinate"/>). |
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</emphasis></para></listitem> |
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</varlistentry> |
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</variablelist> |
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</simplesect> |
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|
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|
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<simplesect> |
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<title> |
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<emphasis role="newtext">Mercator</emphasis> |
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</title> |
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<programlisting> |
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<emphasis role="newtext"><varname>grid_mapping_name</varname> = mercator</emphasis> |
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</programlisting> |
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<variablelist> |
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332 |
<varlistentry> |
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<term><emphasis><emphasis role="newtext">Map parameters:</emphasis></emphasis></term> |
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334 |
<listitem><para><emphasis role="newtext"> |
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335 |
<itemizedlist> |
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336 |
<listitem> |
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<emphasis role="newtext"><varname>longitude_of_projection_origin</varname></emphasis> |
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</listitem> |
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<listitem> |
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<emphasis role="newtext">Either <varname>standard_parallel</varname> (EPSG 9805) or <varname>scale_factor_at_projection_origin</varname> (EPSG 9804)</emphasis> |
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</listitem> |
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<listitem> |
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<emphasis role="newtext"><varname>false_easting</varname></emphasis> |
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</listitem> |
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345 |
<listitem> |
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<emphasis role="newtext"><varname>false_northing</varname></emphasis> |
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</listitem> |
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</itemizedlist> |
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</emphasis></para></listitem> |
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</varlistentry> |
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351 |
<varlistentry> |
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352 |
<term><emphasis><emphasis role="newtext">Map coordinates:</emphasis></emphasis></term> |
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353 |
<listitem><para><emphasis role="newtext"> |
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354 |
The x (abscissa) and y (ordinate) rectangular coordinates are identified by the <varname>standard_name</varname> attribute value <varname>projection_x_coordinate</varname> and <varname>projection_y_coordinate</varname> respectively. |
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</emphasis></para></listitem> |
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356 |
</varlistentry> |
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357 |
<varlistentry> |
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<term><emphasis><emphasis role="newtext">Notes:</emphasis></emphasis></term> |
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359 |
<listitem><para><emphasis role="newtext"> |
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360 |
Notes on using the PROJ.4 software packages for computing the mapping may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/mercator_1sp.html">http://www.remotesensing.org/geotiff/proj_list/mercator_1sp.html</ulink> ("Mercator (1SP)" or EPSG 9804) or <ulink url="http://www.remotesensing.org/geotiff/proj_list/mercator_2sp.html">http://www.remotesensing.org/geotiff/proj_list/mercator_2sp.html</ulink> ("Mercator (2SP)" or EPSG 9805). |
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</emphasis></para> |
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<para><emphasis role="newtext"> |
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More information on formulas available in <biblioref linkend="ogp-epsg_gn7_2">[OGP/EPSG_GN7_2]</biblioref>. |
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364 |
</emphasis></para></listitem> |
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365 |
</varlistentry> |
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366 |
</variablelist> |
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367 |
</simplesect> |
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|
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|
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<simplesect> |
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<title><emphasis role="newtext">Orthographic</emphasis></title> |
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372 |
<programlisting> |
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<emphasis role="newtext"><varname>grid_mapping_name</varname> = orthographic</emphasis> |
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374 |
</programlisting> |
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375 |
<variablelist> |
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376 |
<varlistentry> |
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377 |
<term><emphasis><emphasis role="newtext">Map parameters:</emphasis></emphasis></term> |
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378 |
<listitem><para><emphasis role="newtext"> |
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379 |
<itemizedlist> |
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380 |
<listitem> |
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381 |
<emphasis role="newtext"><varname>longitude_of_projection_origin</varname></emphasis> |
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382 |
</listitem> |
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383 |
<listitem> |
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384 |
<emphasis role="newtext"><varname>latitude_of_projection_origin</varname></emphasis> |
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385 |
</listitem> |
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386 |
<listitem> |
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387 |
<emphasis role="newtext"><varname>false_easting</varname></emphasis> |
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388 |
</listitem> |
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389 |
<listitem> |
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<emphasis role="newtext"><varname>false_northing</varname></emphasis> |
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391 |
</listitem> |
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392 |
</itemizedlist> |
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393 |
</emphasis></para></listitem> |
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394 |
</varlistentry> |
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395 |
<varlistentry> |
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396 |
<term><emphasis><emphasis role="newtext">Map coordinates:</emphasis></emphasis></term> |
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397 |
<listitem><para><emphasis role="newtext"> |
---|
398 |
The x (abscissa) and y (ordinate) rectangular coordinates are identified by the <varname>standard_name</varname> attribute value <varname>projection_x_coordinate</varname> and <varname>projection_y_coordinate</varname> respectively. |
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399 |
</emphasis></para></listitem> |
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400 |
</varlistentry> |
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401 |
<varlistentry> |
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402 |
<term><emphasis><emphasis role="newtext">Notes:</emphasis></emphasis></term> |
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403 |
<listitem><para><emphasis role="newtext"> |
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404 |
Notes on using the PROJ.4 software packages for computing the mapping may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/orthographic.html">http://www.remotesensing.org/geotiff/proj_list/orthographic.html</ulink> ("Orthographic" or EPSG 9840). |
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405 |
</emphasis></para> |
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406 |
<para><emphasis role="newtext"> |
---|
407 |
More information on formulas available in <biblioref linkend="ogp-epsg_gn7_2">[OGP/EPSG_GN7_2]</biblioref>. |
---|
408 |
</emphasis></para></listitem> |
---|
409 |
</varlistentry> |
---|
410 |
</variablelist> |
---|
411 |
</simplesect> |
---|
412 |
|
---|
413 |
|
---|
414 |
<simplesect id="polar-stereographic"> |
---|
415 |
<title>Polar stereographic</title> |
---|
416 |
<programlisting> |
---|
417 |
<varname>grid_mapping_name</varname> = polar_stereographic |
---|
418 |
</programlisting> |
---|
419 |
<variablelist> |
---|
420 |
<varlistentry> |
---|
421 |
<term><emphasis>Map parameters:</emphasis></term> |
---|
422 |
<listitem> |
---|
423 |
<para> |
---|
424 |
<itemizedlist> |
---|
425 |
<listitem> |
---|
426 |
<para><varname>straight_vertical_longitude_from_pole</varname></para> |
---|
427 |
</listitem> |
---|
428 |
<listitem> |
---|
429 |
<para><varname>latitude_of_projection_origin</varname> - Either +90. or -90.</para> |
---|
430 |
</listitem> |
---|
431 |
<listitem> |
---|
432 |
<para>Either <varname>standard_parallel</varname> or <varname>scale_factor_at_projection_origin</varname></para> |
---|
433 |
</listitem> |
---|
434 |
<listitem> |
---|
435 |
<para><varname>false_easting</varname></para> |
---|
436 |
</listitem> |
---|
437 |
<listitem> |
---|
438 |
<para><varname>false_northing</varname></para> |
---|
439 |
</listitem> |
---|
440 |
</itemizedlist> |
---|
441 |
</para> |
---|
442 |
</listitem> |
---|
443 |
</varlistentry> |
---|
444 |
<varlistentry> |
---|
445 |
<term><emphasis>Map coordinates:</emphasis></term> |
---|
446 |
<listitem> |
---|
447 |
<para> |
---|
448 |
The x (abscissa) and y (ordinate) rectangular coordinates |
---|
449 |
are identified by the <varname>standard_name</varname> attribute values |
---|
450 |
<varname>projection_x_coordinate</varname> |
---|
451 |
and <varname>projection_y_coordinate</varname> respectively. |
---|
452 |
</para> |
---|
453 |
</listitem> |
---|
454 |
</varlistentry> |
---|
455 |
|
---|
456 |
<varlistentry> |
---|
457 |
<term><emphasis>Notes:</emphasis></term> |
---|
458 |
<listitem> |
---|
459 |
<para> |
---|
460 |
Notes on using the <varname>PROJ.4</varname> software package for computing the mapping may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/polar_stereographic.html">http://www.remotesensing.org/geotiff/proj_list/polar_stereographic.html</ulink>. |
---|
461 |
</para> |
---|
462 |
</listitem> |
---|
463 |
</varlistentry> |
---|
464 |
</variablelist> |
---|
465 |
</simplesect> |
---|
466 |
|
---|
467 |
<simplesect> |
---|
468 |
<title>Rotated pole</title> |
---|
469 |
<para> |
---|
470 |
<programlisting> |
---|
471 |
<varname>grid_mapping_name</varname> = rotated_latitude_longitude |
---|
472 |
</programlisting> |
---|
473 |
<variablelist> |
---|
474 |
<varlistentry> |
---|
475 |
<term><emphasis>Map parameters:</emphasis></term> |
---|
476 |
<listitem> |
---|
477 |
<para> |
---|
478 |
<itemizedlist> |
---|
479 |
<listitem> |
---|
480 |
<para><varname>grid_north_pole_latitude</varname></para> |
---|
481 |
</listitem> |
---|
482 |
<listitem> |
---|
483 |
<para><varname>grid_north_pole_longitude</varname></para> |
---|
484 |
</listitem> |
---|
485 |
<listitem> |
---|
486 |
<para><varname>north_pole_grid_longitude</varname> - This parameter is option (default is 0).</para> |
---|
487 |
</listitem> |
---|
488 |
</itemizedlist> |
---|
489 |
</para> |
---|
490 |
</listitem> |
---|
491 |
</varlistentry> |
---|
492 |
|
---|
493 |
<varlistentry> |
---|
494 |
<term><emphasis>Map coordinates:</emphasis></term> |
---|
495 |
<listitem> |
---|
496 |
<para> |
---|
497 |
The rotated latitude and longitude coordinates |
---|
498 |
are identified by the <varname>standard_name</varname> attribute values |
---|
499 |
<varname>grid_latitude</varname> |
---|
500 |
and <varname>grid_longitude</varname> respectively. |
---|
501 |
</para> |
---|
502 |
</listitem> |
---|
503 |
</varlistentry> |
---|
504 |
|
---|
505 |
<varlistentry> |
---|
506 |
<term><emphasis>Notes:</emphasis></term> |
---|
507 |
<listitem> |
---|
508 |
<para></para> |
---|
509 |
</listitem> |
---|
510 |
</varlistentry> |
---|
511 |
</variablelist> |
---|
512 |
</para> |
---|
513 |
</simplesect> |
---|
514 |
|
---|
515 |
|
---|
516 |
<simplesect> |
---|
517 |
<title>Stereographic</title> |
---|
518 |
<para> |
---|
519 |
<programlisting> |
---|
520 |
<varname>grid_mapping_name</varname> = stereographic |
---|
521 |
</programlisting> |
---|
522 |
|
---|
523 |
<variablelist> |
---|
524 |
<varlistentry> |
---|
525 |
<term><emphasis>Map parameters:</emphasis></term> |
---|
526 |
<listitem> |
---|
527 |
<para> |
---|
528 |
<itemizedlist> |
---|
529 |
<listitem> |
---|
530 |
<para><varname>longitude_of_projection_origin</varname></para> |
---|
531 |
</listitem> |
---|
532 |
<listitem> |
---|
533 |
<para><varname>latitude_of_projection_origin</varname></para> |
---|
534 |
</listitem> |
---|
535 |
<listitem> |
---|
536 |
<para><varname>scale_factor_at_projection_origin</varname></para> |
---|
537 |
</listitem> |
---|
538 |
<listitem> |
---|
539 |
<para><varname>false_easting</varname></para> |
---|
540 |
</listitem> |
---|
541 |
<listitem> |
---|
542 |
<para><varname>false_northing</varname></para> |
---|
543 |
</listitem> |
---|
544 |
</itemizedlist> |
---|
545 |
</para> |
---|
546 |
</listitem> |
---|
547 |
</varlistentry> |
---|
548 |
|
---|
549 |
<varlistentry> |
---|
550 |
<term><emphasis>Map coordinates:</emphasis></term> |
---|
551 |
<listitem> |
---|
552 |
<para> |
---|
553 |
The x (abscissa) and y (ordinate) rectangular coordinates |
---|
554 |
are identified by the <varname>standard_name</varname> |
---|
555 |
attribute values <varname>projection_x_coordinate</varname> |
---|
556 |
and <varname>projection_y_coordinate</varname> respectively. |
---|
557 |
</para> |
---|
558 |
</listitem> |
---|
559 |
</varlistentry> |
---|
560 |
|
---|
561 |
<varlistentry> |
---|
562 |
<term><emphasis>Notes:</emphasis></term> |
---|
563 |
<listitem> |
---|
564 |
<para> |
---|
565 |
Formulas for the mapping and its inverse along with notes on using the <varname>PROJ.4</varname> software package for doing the calcuations may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/stereographic.html">http://www.remotesensing.org/geotiff/proj_list/stereographic.html</ulink>. See the section "Polar stereographic" for the special case when the projection origin is one of the poles. |
---|
566 |
</para> |
---|
567 |
</listitem> |
---|
568 |
</varlistentry> |
---|
569 |
</variablelist> |
---|
570 |
</para> |
---|
571 |
</simplesect> |
---|
572 |
|
---|
573 |
|
---|
574 |
<simplesect> |
---|
575 |
<title>Transverse Mercator</title> |
---|
576 |
<para> |
---|
577 |
<programlisting> |
---|
578 |
<varname>grid_mapping_name</varname> = transverse_mercator |
---|
579 |
</programlisting> |
---|
580 |
|
---|
581 |
<variablelist> |
---|
582 |
<varlistentry> |
---|
583 |
<term><emphasis>Map parameters:</emphasis></term> |
---|
584 |
<listitem> |
---|
585 |
<para> |
---|
586 |
<itemizedlist> |
---|
587 |
<listitem> |
---|
588 |
<para><varname>scale_factor_at_central_meridian</varname></para> |
---|
589 |
</listitem> |
---|
590 |
<listitem> |
---|
591 |
<para><varname>longitude_of_central_meridian</varname></para> |
---|
592 |
</listitem> |
---|
593 |
<listitem> |
---|
594 |
<para><varname>latitude_of_projection_origin</varname></para> |
---|
595 |
</listitem> |
---|
596 |
<listitem> |
---|
597 |
<para><varname>false_easting</varname></para> |
---|
598 |
</listitem> |
---|
599 |
<listitem> |
---|
600 |
<para><varname>false_northing</varname></para> |
---|
601 |
</listitem> |
---|
602 |
</itemizedlist> |
---|
603 |
</para> |
---|
604 |
</listitem> |
---|
605 |
</varlistentry> |
---|
606 |
|
---|
607 |
<varlistentry> |
---|
608 |
<term><emphasis>Map coordinates:</emphasis></term> |
---|
609 |
<listitem> |
---|
610 |
<para> |
---|
611 |
The x (abscissa) and y (ordinate) rectangular coordinates |
---|
612 |
are identified by the <varname>standard_name</varname> |
---|
613 |
attribute values <varname>projection_x_coordinate</varname> |
---|
614 |
and <varname>projection_y_coordinate</varname> respectively. |
---|
615 |
</para> |
---|
616 |
</listitem> |
---|
617 |
</varlistentry> |
---|
618 |
|
---|
619 |
<varlistentry> |
---|
620 |
<term><emphasis>Notes:</emphasis></term> |
---|
621 |
<listitem> |
---|
622 |
<para> |
---|
623 |
Formulas for the mapping and its inverse along with notes on using the <varname>PROJ.4</varname> software package for doing the calcuations may be found at <ulink url="http://www.remotesensing.org/geotiff/proj_list/transverse_mercator.html">http://www.remotesensing.org/geotiff/proj_list/transverse_mercator.html</ulink>. |
---|
624 |
</para> |
---|
625 |
</listitem> |
---|
626 |
</varlistentry> |
---|
627 |
</variablelist> |
---|
628 |
</para> |
---|
629 |
</simplesect> |
---|
630 |
|
---|
631 |
<simplesect> |
---|
632 |
<title><emphasis role="newtext">Vertical perspective</emphasis></title> |
---|
633 |
<programlisting> |
---|
634 |
<emphasis role="newtext"><varname>grid_mapping_name</varname> = vertical_perspective</emphasis> |
---|
635 |
</programlisting> |
---|
636 |
<variablelist> |
---|
637 |
<varlistentry> |
---|
638 |
<term><emphasis><emphasis role="newtext">Map parameters:</emphasis></emphasis></term> |
---|
639 |
<listitem><para><itemizedlist> |
---|
640 |
<listitem><para><varname><emphasis role="newtext">latitude_of_projection_origin</emphasis></varname></para></listitem> |
---|
641 |
<listitem><para><varname><emphasis role="newtext">longitude_of_projection_origin</emphasis></varname></para></listitem> |
---|
642 |
<listitem><para><varname><emphasis role="newtext">perspective_point_height</emphasis></varname></para></listitem> |
---|
643 |
<listitem><para><varname><emphasis role="newtext">false_easting</emphasis></varname></para></listitem> |
---|
644 |
<listitem><para><varname><emphasis role="newtext">false_northing</emphasis></varname></para></listitem> |
---|
645 |
</itemizedlist></para></listitem> |
---|
646 |
</varlistentry> |
---|
647 |
<varlistentry> |
---|
648 |
<term><emphasis><emphasis role="newtext">Map coordinates:</emphasis></emphasis></term> |
---|
649 |
<listitem><para><emphasis role="newtext"> |
---|
650 |
The x (abscissa) and y (ordinate) rectangular coordinates |
---|
651 |
are identified by the <varname>standard_name</varname> attribute |
---|
652 |
value <varname>projection_x_coordinate</varname> and |
---|
653 |
<varname>projection_y_coordinate</varname> respectively. |
---|
654 |
</emphasis></para></listitem> |
---|
655 |
</varlistentry> |
---|
656 |
<varlistentry> |
---|
657 |
<term><emphasis><emphasis role="newtext">Notes:</emphasis></emphasis></term> |
---|
658 |
<listitem><para><emphasis role="newtext"> |
---|
659 |
Notes on using the <varname>PROJ.4</varname> software packages |
---|
660 |
for computing the mapping may be found at |
---|
661 |
<ulink url="http://www.remotesensing.org/geotiff/proj_list/geos.html">http://www.remotesensing.org/geotiff/proj_list/geos.html</ulink> |
---|
662 |
. These notes assume the point of perspective |
---|
663 |
is directly over the equator. A more general description |
---|
664 |
of vertical perspective projection is given in |
---|
665 |
<biblioref linkend="snyder">[Snyder]</biblioref>, pages 169-181. |
---|
666 |
</emphasis></para></listitem> |
---|
667 |
</varlistentry> |
---|
668 |
</variablelist> |
---|
669 |
</simplesect> |
---|
670 |
|
---|
671 |
<para> |
---|
672 |
<emphasis role="newtext">In the following table the "Type" values are |
---|
673 |
<emphasis role="bold">S</emphasis> for string and |
---|
674 |
<emphasis role="bold">N</emphasis> for numeric.</emphasis> |
---|
675 |
</para> |
---|
676 |
|
---|
677 |
<table frame="all"> |
---|
678 |
<title>Grid Mapping Attributes</title> |
---|
679 |
<tgroup cols="3" align="left" colsep="1" rowsep="1"> |
---|
680 |
<colspec colwidth="4*"/> |
---|
681 |
<colspec colwidth="0.5*"/> |
---|
682 |
<colspec colwidth="4*"/> |
---|
683 |
|
---|
684 |
<thead> |
---|
685 |
<row> |
---|
686 |
<entry align="center">Attribute</entry> |
---|
687 |
<entry align="center"><emphasis role="newtext">Type</emphasis></entry> |
---|
688 |
<entry align="center">Description</entry> |
---|
689 |
</row> |
---|
690 |
</thead> |
---|
691 |
<tbody> |
---|
692 |
<row> |
---|
693 |
<entry><emphasis role="newtext"><varname>earth_radius</varname></emphasis></entry> |
---|
694 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
695 |
<entry><emphasis role="newtext"> |
---|
696 |
Used to specify the radius, in metres, of the spherical |
---|
697 |
figure used to approximate the shape of the Earth. This |
---|
698 |
attribute should be specified for those projected coordinate |
---|
699 |
reference systems in which the X-Y cartesian coordinates |
---|
700 |
have been derived using a spherical Earth approximation. If |
---|
701 |
the cartesian coordinates were derived using an ellipsoid, |
---|
702 |
this attribute should not be defined. Example: "6371007", |
---|
703 |
which is the radius of the GRS 1980 Authalic Sphere. |
---|
704 |
</emphasis></entry> |
---|
705 |
</row> |
---|
706 |
|
---|
707 |
<row> |
---|
708 |
<entry><varname>false_easting</varname></entry> |
---|
709 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
710 |
<entry> |
---|
711 |
The value added to all abscissa values in the rectangular |
---|
712 |
coordinates for a map projection. This value frequently |
---|
713 |
is assigned to eliminate negative numbers. Expressed in |
---|
714 |
the unit of the coordinate variable identified by the |
---|
715 |
standard name <varname>projection_x_coordinate</varname>. |
---|
716 |
</entry> |
---|
717 |
</row> |
---|
718 |
|
---|
719 |
<row> |
---|
720 |
<entry><varname>false_northing</varname></entry> |
---|
721 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
722 |
<entry> |
---|
723 |
The value added to all ordinate values in the rectangular |
---|
724 |
coordinates for a map projection. This value frequently |
---|
725 |
is assigned to eliminate negative numbers. Expressed in |
---|
726 |
the unit of the coordinate variable identified by the |
---|
727 |
standard name <varname>projection_y_coordinate</varname>. |
---|
728 |
</entry> |
---|
729 |
</row> |
---|
730 |
<row> |
---|
731 |
<entry><varname>grid_mapping_name</varname></entry> |
---|
732 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
733 |
<entry> |
---|
734 |
The name used to identify the grid mapping. |
---|
735 |
</entry> |
---|
736 |
</row> |
---|
737 |
<row> |
---|
738 |
<entry><varname>grid_north_pole_latitude</varname></entry> |
---|
739 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
740 |
<entry> |
---|
741 |
True latitude (degrees_north) of the north pole of the rotated grid. |
---|
742 |
</entry> |
---|
743 |
</row> |
---|
744 |
<row> |
---|
745 |
<entry><varname>grid_north_pole_longitude</varname></entry> |
---|
746 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
747 |
<entry> |
---|
748 |
True longitude (degrees_east) of the north pole of the rotated grid. |
---|
749 |
</entry> |
---|
750 |
</row> |
---|
751 |
|
---|
752 |
<row> |
---|
753 |
<entry><emphasis role="newtext"><varname>inverse_flattening</varname></emphasis></entry> |
---|
754 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
755 |
<entry><emphasis role="newtext"> |
---|
756 |
Used to specify the <emphasis>inverse</emphasis> flattening |
---|
757 |
(<emphasis>1/f</emphasis>) of the ellipsoidal figure |
---|
758 |
associated with the geodetic datum and used to approximate the shape |
---|
759 |
of the Earth. The flattening (<emphasis>f</emphasis>) of the ellipsoid |
---|
760 |
is related to the semi-major and semi-minor axes by the formula |
---|
761 |
<emphasis>f = (a-b)/a</emphasis>. In the case |
---|
762 |
of a spherical Earth this attribute should be omitted or set to zero. |
---|
763 |
Example: 298.257222101 for the GRS 1980 ellipsoid. (Note: By |
---|
764 |
convention the dimensions of an ellipsoid are specified using either |
---|
765 |
the semi-major and semi-minor axis lengths, or the semi-major axis |
---|
766 |
length and the inverse flattening. If all three attributes are |
---|
767 |
specified then the supplied values must be consistent with the |
---|
768 |
aforementioned formula.) |
---|
769 |
</emphasis></entry> |
---|
770 |
</row> |
---|
771 |
|
---|
772 |
<row> |
---|
773 |
<entry><varname>latitude_of_projection_origin</varname></entry> |
---|
774 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
775 |
<entry> |
---|
776 |
The latitude chosen as the origin of rectangular coordinates for a map projection. |
---|
777 |
Domain: <varname>-90.0 <= latitude_of_projection_origin <= 90.0</varname> |
---|
778 |
</entry> |
---|
779 |
</row> |
---|
780 |
<row> |
---|
781 |
<entry><varname>longitude_of_central_meridian</varname></entry> |
---|
782 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
783 |
<entry> |
---|
784 |
The line of longitude at the center of a map projection generally used as the basis for constructing the projection. |
---|
785 |
Domain: <varname>-180.0 <= longitude_of_central_meridian < 180.0</varname> |
---|
786 |
</entry> |
---|
787 |
</row> |
---|
788 |
|
---|
789 |
<row> |
---|
790 |
<entry><emphasis role="newtext"><varname>longitude_of_prime_meridian</varname></emphasis></entry> |
---|
791 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
792 |
<entry><emphasis role="newtext"> |
---|
793 |
Specifies the longitude, with respect to Greenwich, of the prime |
---|
794 |
meridian associated with the geodetic datum. The prime meridian defines |
---|
795 |
the origin from which longitude values are determined. Not to be |
---|
796 |
confused with the projection origin longitude |
---|
797 |
(cf. <varname>longitude_of_projection_origin</varname>, a.k.a. central |
---|
798 |
meridian) which defines the longitude of the map projection origin. |
---|
799 |
Domain: <varname>-180.0 <= longitude_of_prime_meridian < 180.0</varname> decimal degrees. |
---|
800 |
Default = <varname>0.0</varname> |
---|
801 |
</emphasis></entry> |
---|
802 |
</row> |
---|
803 |
|
---|
804 |
<row> |
---|
805 |
<entry><varname>longitude_of_projection_origin</varname></entry> |
---|
806 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
807 |
<entry> |
---|
808 |
The longitude chosen as the origin of rectangular coordinates for a map projection. |
---|
809 |
Domain: <varname>-180.0 <= longitude_of_projection_origin < 180.0</varname> |
---|
810 |
</entry> |
---|
811 |
</row> |
---|
812 |
<row> |
---|
813 |
<entry><varname>north_pole_grid_longitude</varname></entry> |
---|
814 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
815 |
<entry> |
---|
816 |
Longitude (degrees) of the true north pole in the rotated grid. |
---|
817 |
</entry> |
---|
818 |
</row> |
---|
819 |
|
---|
820 |
<row> |
---|
821 |
<entry><emphasis role="newtext"><varname>perspective_point_height</varname></emphasis></entry> |
---|
822 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
823 |
<entry><emphasis role="newtext"> |
---|
824 |
Records the height, <emphasis>in metres</emphasis>, of the map |
---|
825 |
projection perspective point above the ellipsoid (or sphere). Used |
---|
826 |
by perspective-type map projections, for example the Vertical |
---|
827 |
Perspective Projection, which may be used to simulate the view from |
---|
828 |
a Meteosat satellite. |
---|
829 |
</emphasis></entry> |
---|
830 |
</row> |
---|
831 |
|
---|
832 |
<row> |
---|
833 |
<entry><varname>scale_factor_at_central_meridian</varname></entry> |
---|
834 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
835 |
<entry> |
---|
836 |
A multiplier for reducing a distance obtained from a map by |
---|
837 |
computation or scaling to the actual distance along the |
---|
838 |
central meridian. |
---|
839 |
Domain: <varname>scale_factor_at_central_meridian > 0.0</varname> |
---|
840 |
</entry> |
---|
841 |
</row> |
---|
842 |
<row> |
---|
843 |
<entry><varname>scale_factor_at_projection_origin</varname></entry> |
---|
844 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
845 |
<entry> |
---|
846 |
A multiplier for reducing a distance obtained from |
---|
847 |
a map by computation or scaling to the actual distance |
---|
848 |
at the projection origin. |
---|
849 |
Domain: <varname>scale_factor_at_projection_origin > 0.0</varname> |
---|
850 |
</entry> |
---|
851 |
</row> |
---|
852 |
|
---|
853 |
<row> |
---|
854 |
<entry><emphasis role="newtext"><varname>semi_major_axis</varname></emphasis></entry> |
---|
855 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
856 |
<entry><emphasis role="newtext"> |
---|
857 |
Specifies the length, <emphasis>in metres</emphasis>, of the semi-major |
---|
858 |
axis of the ellipsoidal figure associated with the geodetic datum and |
---|
859 |
used to approximate the shape of the Earth. Commonly denoted using the |
---|
860 |
symbol <emphasis>a</emphasis>. In the case of a spherical Earth |
---|
861 |
approximation this attribute defines the radius of the Earth. See |
---|
862 |
also the <varname>inverse_flattening</varname> attribute. |
---|
863 |
</emphasis></entry> |
---|
864 |
</row> |
---|
865 |
|
---|
866 |
<row> |
---|
867 |
<entry><emphasis role="newtext"><varname>semi_minor_axis</varname></emphasis></entry> |
---|
868 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
869 |
<entry><emphasis role="newtext"> |
---|
870 |
Specifies the length, <emphasis>in metres</emphasis>, of the semi-minor |
---|
871 |
axis of the ellipsoidal figure associated with the geodetic datum and |
---|
872 |
used to approximate the shape of the Earth. Commonly denoted using the |
---|
873 |
symbol <emphasis>b</emphasis>. In the case of a spherical Earth |
---|
874 |
approximation this attribute should be omitted (the preferred option) |
---|
875 |
or else set equal to the value of the semi_major_axis attribute. See also the inverse_flattening attribute. |
---|
876 |
</emphasis></entry> |
---|
877 |
</row> |
---|
878 |
|
---|
879 |
<row> |
---|
880 |
<entry><varname>standard_parallel</varname></entry> |
---|
881 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
882 |
<entry><emphasis role="newtext"> |
---|
883 |
Specifies the line, or lines, of latitude at which the developable map |
---|
884 |
projection surface (plane, cone, or cylinder) touches the reference |
---|
885 |
sphere or ellipsoid used to represent the Earth. Since there is zero |
---|
886 |
scale distortion along a standard parallel it is also referred to as |
---|
887 |
a "latitude of true scale". In the situation where a conical |
---|
888 |
developable surface intersects the reference ellipsoid there are two |
---|
889 |
standard parallels, in which case this attribute can be used as a |
---|
890 |
vector to record both latitude values, with the additional convention |
---|
891 |
that the standard parallel nearest the pole (N or S) is provided first. |
---|
892 |
</emphasis> |
---|
893 |
<emphasis role="deletedtext"> |
---|
894 |
Line of constant latitude at which the surface of the |
---|
895 |
Earth and plane or developable surface intersect. |
---|
896 |
This attribute may be vector valued if two standard |
---|
897 |
parallels are specified. |
---|
898 |
</emphasis> |
---|
899 |
Domain: <varname>-90.0 <= standard_parallel <= 90.0</varname> |
---|
900 |
</entry> |
---|
901 |
</row> |
---|
902 |
<row> |
---|
903 |
<entry><varname>straight_vertical_longitude_from_pole</varname></entry> |
---|
904 |
<entry><emphasis role="newtext">N</emphasis></entry> |
---|
905 |
<entry> |
---|
906 |
The longitude to be oriented straight up from the North or South Pole. |
---|
907 |
Domain: <varname>-180.0 <= straight_vertical_longitude_from_pole < 180.0</varname> |
---|
908 |
</entry> |
---|
909 |
</row> |
---|
910 |
</tbody> |
---|
911 |
</tgroup> |
---|
912 |
</table> |
---|
913 |
|
---|
914 |
</appendix> |
---|