mirror of
https://git.osgeo.org/gitea/postgis/postgis
synced 2024-10-24 09:02:37 +00:00
041befde1e
git-svn-id: http://svn.osgeo.org/postgis/trunk@12915 b70326c6-7e19-0410-871a-916f4a2858ee
524 lines
17 KiB
XML
524 lines
17 KiB
XML
<?xml version="1.0" encoding="UTF-8"?>
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<sect1 id="reference_sfcgal">
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<sect1info>
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<abstract>
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<para>
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SFCGAL is a C++ wrapper library around CGAL that provides advanced 2D and 3D functions.
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For robustness, geometry coordinates have an exact rational number representation.
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</para>
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<para>
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Installation instructions of the library can be found on SFCGAL home page <ulink url="http://www.sfcgal.org">http://www.sfcgal.org</ulink>.
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To load the functions execute postgis/sfcgal.sql
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</para>
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</abstract>
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</sect1info>
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<title>SFCGAL Functions</title>
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<refentry id="postgis_sfcgal_version">
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<refnamediv>
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<refname>postgis_sfcgal_version</refname>
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<refpurpose>Returns the version of SFCGAL in use</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>text <function>postgis_sfcgal_version</function></funcdef>
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<void/>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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</refentry>
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<refentry id="ST_Extrude">
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<refnamediv>
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<refname>ST_Extrude</refname>
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<refpurpose>Extrude a surface to a related volume</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>geometry <function>ST_Extrude</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom</parameter></paramdef>
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<paramdef><type>float</type> <parameter>x</parameter></paramdef>
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<paramdef><type>float</type> <parameter>y</parameter></paramdef>
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<paramdef><type>float</type> <parameter>z</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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<refsection><title>Examples</title>
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<para>3D images were generated using the PostGIS <xref linkend="ST_AsX3D" /> and rendering in HTML using <ulink url="http://www.x3dom.org">X3Dom HTML Javascript redering library</ulink>.</para>
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<informaltable>
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<tgroup cols="2">
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<tbody>
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<row>
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<entry><para>
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<programlisting>SELECT ST_Buffer(ST_GeomFromText('POINT(100 90)'),
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50, 'quad_segs=2'),0,0,30);</programlisting>
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<informalfigure>
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<mediaobject>
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<imageobject>
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<imagedata fileref="images/st_extrude01.png" />
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</imageobject>
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<caption><para>Original octagon formed from buffering point</para></caption>
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</mediaobject>
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</informalfigure></para>
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</entry>
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<entry><para>
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<programlisting>ST_Extrude(ST_Buffer(ST_GeomFromText('POINT(100 90)'),
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50, 'quad_segs=2'),0,0,30);</programlisting>
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<informalfigure>
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<mediaobject>
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<imageobject>
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<imagedata fileref="images/st_extrude02.png" />
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</imageobject>
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<caption><para>Hexagon extruded 30 units along Z produces a PolyhedralSurfaceZ</para></caption>
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</mediaobject>
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</informalfigure></para>
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</entry>
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</row>
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<row>
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<entry><para>
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<programlisting>SELECT ST_GeomFromText('LINESTRING(50 50, 100 90, 95 150)')</programlisting>
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<informalfigure>
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<mediaobject>
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<imageobject>
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<imagedata fileref="images/st_extrude03.png" />
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</imageobject>
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<caption><para>Original linestring</para></caption>
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</mediaobject>
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</informalfigure></para>
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</entry>
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<entry><para>
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<programlisting>SELECT ST_Extrude(
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ST_GeomFromText('LINESTRING(50 50, 100 90, 95 150)'),0,0,10));</programlisting>
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<informalfigure>
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<mediaobject>
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<imageobject>
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<imagedata fileref="images/st_extrude04.png" />
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</imageobject>
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<caption><para>LineString Extruded along Z produces a PolyhedralSurfaceZ</para></caption>
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</mediaobject>
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</informalfigure></para>
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</entry>
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</row>
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</tbody>
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</tgroup>
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</informaltable>
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</refsection>
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<refsection>
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<title>See Also</title>
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<para><xref linkend="ST_AsX3D" /></para>
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</refsection>
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</refentry>
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<refentry id="ST_StraightSkeleton">
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<refnamediv>
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<refname>ST_StraightSkeleton</refname>
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<refpurpose>Compute a straight skeleton from a geometry</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>geometry <function>ST_StraightSkeleton</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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<refsection><title>Examples</title>
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<programlisting>SELECT ST_StraightSkeleton(ST_GeomFromText('POLYGON (( 190 190, 10 190, 10 10, 190 10, 190 20, 160 30, 60 30, 60 130, 190 140, 190 190 ))'));</programlisting>
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<informaltable>
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<tgroup cols="2">
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<tbody>
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<row>
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<entry><para><informalfigure>
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<mediaobject>
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<imageobject>
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<imagedata fileref="images/st_straightskeleton01.png" />
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</imageobject>
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<caption><para>Original polygon</para></caption>
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</mediaobject>
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</informalfigure></para>
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</entry>
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<entry><para><informalfigure>
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<mediaobject>
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<imageobject>
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<imagedata fileref="images/st_straightskeleton02.png" />
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</imageobject>
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<caption><para>Straight Skeleton of polygon</para></caption>
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</mediaobject>
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</informalfigure></para>
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</entry>
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</row>
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</tbody>
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</tgroup>
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</informaltable>
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</refsection>
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</refentry>
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<refentry id="ST_IsPlanar">
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<refnamediv>
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<refname>ST_IsPlanar</refname>
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<refpurpose>Check if a surface is or not planar</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>boolean <function>ST_IsPlanar</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Availability: 2.2.0: This was documented in 2.1.0 but got accidentally left out in 2.1 release.</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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</refentry>
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<refentry id="ST_Orientation">
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<refnamediv>
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<refname>ST_Orientation</refname>
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<refpurpose>Determine surface orientation</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>integer <function>ST_Orientation</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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</refentry>
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<refentry id="ST_ForceLHR">
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<refnamediv>
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<refname>ST_ForceLHR</refname>
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<refpurpose>Force LHR orientation</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>geometry <function>ST_ForceLHR</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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</refentry>
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<refentry id="ST_MinkowskiSum">
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<refnamediv>
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<refname>ST_MinkowskiSum</refname>
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<refpurpose>Performs Minkowski sum</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>geometry <function>ST_MinkowskiSum</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom1</parameter></paramdef>
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<paramdef><type>geometry</type> <parameter>geom2</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>This function performs a 2D minkowski sum of a point, line or polygon with a polygon.</para>
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<para>The first parameter can be any 2D geometry (point, linestring, polygon). If a 3D geometry is passed, it will be converted to 2D by forcing Z to 0, leading to possible cases of invalidity. The second parameter must be a 2D polygon.</para>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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</refsection>
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</refentry>
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<refentry id="ST_3DIntersection">
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<refnamediv>
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<refname>ST_3DIntersection</refname>
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<refpurpose>Perform 3D intersection</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>geometry <function>ST_3DIntersection</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom1</parameter></paramdef>
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<paramdef><type>geometry</type> <parameter>geom2</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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<refsection>
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<title>Examples: 3D linestring and Polygon</title>
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<programlisting> SELECT ST_AsText(ST_3DIntersection(linestring, polygon)) As wkt
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FROM ST_GeomFromText('LINESTRING Z (2 2 6,1.5 1.5 7,1 1 8,0.5 0.5 8,0 0 10)') AS linestring
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CROSS JOIN ST_GeomFromText('POLYGON((0 0 8, 0 1 8, 1 1 8, 1 0 8, 0 0 8))') AS polygon;
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wkt
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--------------------------------
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LINESTRING Z (1 1 8,0.5 0.5 8)
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</programlisting>
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<para>Cube (closed Polyhedral Surface) and Polygon Z</para>
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<programlisting>SELECT ST_AsText(ST_3DIntersection(
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ST_GeomFromText('POLYHEDRALSURFACE Z( ((0 0 0, 0 0 1, 0 1 1, 0 1 0, 0 0 0)),
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((0 0 0, 0 1 0, 1 1 0, 1 0 0, 0 0 0)), ((0 0 0, 1 0 0, 1 0 1, 0 0 1, 0 0 0)),
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((1 1 0, 1 1 1, 1 0 1, 1 0 0, 1 1 0)),
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((0 1 0, 0 1 1, 1 1 1, 1 1 0, 0 1 0)), ((0 0 1, 1 0 1, 1 1 1, 0 1 1, 0 0 1)) )'),
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'POLYGON Z ((0 0 0, 0 0 0.5, 0 0.5 0.5, 0 0.5 0, 0 0 0))'::geometry))</programlisting>
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<screen>TIN Z (((0 0 0,0 0 0.5,0 0.5 0.5,0 0 0)),((0 0.5 0,0 0 0,0 0.5 0.5,0 0.5 0)))</screen>
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<para>Intersection of 2 solids that result in volumetric intersection is also a solid (ST_Dimension returns 3)</para>
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<programlisting>SELECT ST_AsText(ST_3DIntersection( ST_Extrude(ST_Buffer('POINT(10 20)'::geometry,10,1),0,0,30),
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ST_Extrude(ST_Buffer('POINT(10 20)'::geometry,10,1),2,0,10) ));</programlisting>
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<screen>POLYHEDRALSURFACE Z (((13.3333333333333 13.3333333333333 10,20 20 0,20 20 10,13.3333333333333 13.3333333333333 10)),
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((20 20 10,16.6666666666667 23.3333333333333 10,13.3333333333333 13.3333333333333 10,20 20 10)),
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((20 20 0,16.6666666666667 23.3333333333333 10,20 20 10,20 20 0)),
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((13.3333333333333 13.3333333333333 10,10 10 0,20 20 0,13.3333333333333 13.3333333333333 10)),
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((16.6666666666667 23.3333333333333 10,12 28 10,13.3333333333333 13.3333333333333 10,16.6666666666667 23.3333333333333 10)),
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((20 20 0,9.99999999999995 30 0,16.6666666666667 23.3333333333333 10,20 20 0)),
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((10 10 0,9.99999999999995 30 0,20 20 0,10 10 0)),((13.3333333333333 13.3333333333333 10,12 12 10,10 10 0,13.3333333333333 13.3333333333333 10)),
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((12 28 10,12 12 10,13.3333333333333 13.3333333333333 10,12 28 10)),
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((16.6666666666667 23.3333333333333 10,9.99999999999995 30 0,12 28 10,16.6666666666667 23.3333333333333 10)),
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((10 10 0,0 20 0,9.99999999999995 30 0,10 10 0)),
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((12 12 10,11 11 10,10 10 0,12 12 10)),((12 28 10,11 11 10,12 12 10,12 28 10)),
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((9.99999999999995 30 0,11 29 10,12 28 10,9.99999999999995 30 0)),((0 20 0,2 20 10,9.99999999999995 30 0,0 20 0)),
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((10 10 0,2 20 10,0 20 0,10 10 0)),((11 11 10,2 20 10,10 10 0,11 11 10)),((12 28 10,11 29 10,11 11 10,12 28 10)),
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((9.99999999999995 30 0,2 20 10,11 29 10,9.99999999999995 30 0)),((11 11 10,11 29 10,2 20 10,11 11 10)))</screen>
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</refsection>
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</refentry>
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<refentry id="ST_3DArea">
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<refnamediv>
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<refname>ST_3DArea</refname>
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<refpurpose>Computes area of 3D geometries</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>float<function>ST_3DArea</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom1</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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</refentry>
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<refentry id="ST_Tesselate">
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<refnamediv>
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<refname>ST_Tesselate</refname>
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<refpurpose>Perform surface Tesselation of a polygon or polyhedralsurface and returns as a TIN or collection of TINS</refpurpose>
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</refnamediv>
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<refsynopsisdiv>
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<funcsynopsis>
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<funcprototype>
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<funcdef>geometry <function>ST_Tesselate</function></funcdef>
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<paramdef><type>geometry</type> <parameter>geom</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<refsection>
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<title>Description</title>
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<para>Takes as input a surface such a MULTI(POLYGON) or POLYHEDRALSURFACE and returns a TIN representation via the process of tesselation using triangles.</para>
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<para>Availability: 2.1.0</para>
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<para>&sfcgal_required;</para>
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<para>&Z_support;</para>
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<para>&P_support;</para>
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<para>&T_support;</para>
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</refsection>
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<refsection><title>Examples</title>
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<informaltable>
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<tgroup cols="2">
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<tbody>
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<row>
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<entry><para>
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<programlisting>SELECT ST_GeomFromText('POLYHEDRALSURFACE Z( ((0 0 0, 0 0 1, 0 1 1, 0 1 0, 0 0 0)),
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((0 0 0, 0 1 0, 1 1 0, 1 0 0, 0 0 0)), ((0 0 0, 1 0 0, 1 0 1, 0 0 1, 0 0 0)),
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((1 1 0, 1 1 1, 1 0 1, 1 0 0, 1 1 0)),
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((0 1 0, 0 1 1, 1 1 1, 1 1 0, 0 1 0)), ((0 0 1, 1 0 1, 1 1 1, 0 1 1, 0 0 1)) )');</programlisting>
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<informalfigure>
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<mediaobject>
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<imageobject>
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<imagedata fileref="images/st_tesselate01.png" />
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</imageobject>
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<caption><para>Original Cube</para></caption>
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</mediaobject>
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</informalfigure></para>
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</entry>
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<entry><para>
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<programlisting>SELECT ST_Tesselate(ST_GeomFromText('POLYHEDRALSURFACE Z( ((0 0 0, 0 0 1, 0 1 1, 0 1 0, 0 0 0)),
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((0 0 0, 0 1 0, 1 1 0, 1 0 0, 0 0 0)), ((0 0 0, 1 0 0, 1 0 1, 0 0 1, 0 0 0)),
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((1 1 0, 1 1 1, 1 0 1, 1 0 0, 1 1 0)),
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((0 1 0, 0 1 1, 1 1 1, 1 1 0, 0 1 0)), ((0 0 1, 1 0 1, 1 1 1, 0 1 1, 0 0 1)) )'));</programlisting></para>
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<para>ST_AsText output:</para>
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|
<screen>TIN Z (((0 0 0,0 0 1,0 1 1,0 0 0)),((0 1 0,0 0 0,0 1 1,0 1 0)),
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((0 0 0,0 1 0,1 1 0,0 0 0)),
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|
((1 0 0,0 0 0,1 1 0,1 0 0)),((0 0 1,1 0 0,1 0 1,0 0 1)),
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((0 0 1,0 0 0,1 0 0,0 0 1)),
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((1 1 0,1 1 1,1 0 1,1 1 0)),((1 0 0,1 1 0,1 0 1,1 0 0)),
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|
((0 1 0,0 1 1,1 1 1,0 1 0)),((1 1 0,0 1 0,1 1 1,1 1 0)),
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((0 1 1,1 0 1,1 1 1,0 1 1)),((0 1 1,0 0 1,1 0 1,0 1 1)))</screen>
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|
<para> <informalfigure>
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|
<mediaobject>
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|
<imageobject>
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|
<imagedata fileref="images/st_tesselate02.png" />
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|
</imageobject>
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|
<caption><para>Tesselated Cube with triangles colored</para></caption>
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|
</mediaobject>
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|
</informalfigure></para>
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|
</entry>
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|
</row>
|
|
|
|
<row>
|
|
<entry><para>
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|
<programlisting>SELECT 'POLYGON (( 10 190, 10 70, 80 70, 80 130, 50 160, 120 160, 120 190, 10 190 ))'::geometry;</programlisting>
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|
<informalfigure>
|
|
<mediaobject>
|
|
<imageobject>
|
|
<imagedata fileref="images/st_tesselate03.png" />
|
|
</imageobject>
|
|
<caption><para>Original polygon</para></caption>
|
|
</mediaobject>
|
|
</informalfigure></para>
|
|
</entry>
|
|
<entry><para>
|
|
<programlisting>SELECT
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|
ST_Tesselate('POLYGON (( 10 190, 10 70, 80 70, 80 130, 50 160, 120 160, 120 190, 10 190 ))'::geometry);</programlisting>
|
|
</para>
|
|
<para>ST_AsText output</para>
|
|
<screen>TIN(((80 130,50 160,80 70,80 130)),((50 160,10 190,10 70,50 160)),
|
|
((80 70,50 160,10 70,80 70)),((120 160,120 190,50 160,120 160)),
|
|
((120 190,10 190,50 160,120 190)))</screen>
|
|
<para><informalfigure>
|
|
<mediaobject>
|
|
<imageobject>
|
|
<imagedata fileref="images/st_tesselate04.png" />
|
|
</imageobject>
|
|
<caption><para>Tesselated Polygon</para></caption>
|
|
</mediaobject>
|
|
</informalfigure></para>
|
|
</entry>
|
|
</row>
|
|
</tbody>
|
|
</tgroup>
|
|
</informaltable>
|
|
</refsection>
|
|
|
|
</refentry>
|
|
|
|
</sect1>
|