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+ + <section data-toggle="wy-nav-shift" class="wy-nav-content-wrap"><nav class="wy-nav-top" aria-label="Mobile navigation menu" style="background: #353130" > + <i data-toggle="wy-nav-top" class="fa fa-bars"></i> + <a href="../../index.html">PROJ</a> + </nav> + + <div class="wy-nav-content"> + <div class="rst-content"> + <div role="navigation" aria-label="Page navigation"> + <ul class="wy-breadcrumbs"> + <li><a href="../../index.html" class="icon icon-home"></a> »</li> + <li><a href="../index.html">Coordinate operations</a> »</li> + <li><a href="index.html">Conversions</a> »</li> + <li>Geocentric to topocentric conversion</li> + <li class="wy-breadcrumbs-aside"> + <a href="https://github.com/OSGeo/PROJ/edit/8.2/docs/source/operations/conversions/topocentric.rst" class="fa fa-github"> Edit on GitHub</a> + </li> + </ul><div class="rst-breadcrumbs-buttons" role="navigation" aria-label="Sequential page navigation"> + <a href="set.html" class="btn btn-neutral float-left" title="Set coordinate value" accesskey="p"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a> + <a href="unitconvert.html" class="btn btn-neutral float-right" title="Unit conversion" accesskey="n">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a> + </div> + <hr/> +</div> + <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article"> + <div itemprop="articleBody"> + + <section id="geocentric-to-topocentric-conversion"> +<span id="topocentric"></span><h1>Geocentric to topocentric conversion<a class="headerlink" href="#geocentric-to-topocentric-conversion" title="Permalink to this headline">¶</a></h1> +<div class="versionadded"> +<p><span class="versionmodified added">New in version 8.0.0.</span></p> +</div> +<p>Convert geocentric coordinates to topocentric coordinates (in the forward path).</p> +<table class="docutils align-default"> +<colgroup> +<col style="width: 27%" /> +<col style="width: 73%" /> +</colgroup> +<tbody> +<tr class="row-odd"><td><p><strong>Alias</strong></p></td> +<td><p>topocentric</p></td> +</tr> +<tr class="row-even"><td><p><strong>Domain</strong></p></td> +<td><p>3D</p></td> +</tr> +<tr class="row-odd"><td><p><strong>Input type</strong></p></td> +<td><p>Geocentric cartesian coordinates</p></td> +</tr> +<tr class="row-even"><td><p><strong>Output type</strong></p></td> +<td><p>Topocentric cartesian coordinates</p></td> +</tr> +</tbody> +</table> +<p>This operation converts geocentric coordinate values (X, Y, Z) to topocentric +(E/East, N/North, U/Up) values. This is also sometimes known as the ECEF (Earth +Centered Earth Fixed) to ENU conversion.</p> +<p>Topocentric coordinates are expressed in a frame whose East and North axis form +a local tangent plane to the Earth’s ellipsoidal surface fixed to a specific +location (the topocentric origin), and the Up axis points upwards along the +normal to that plane.</p> +<a class="reference internal image-reference" href="../../_images/ECEF_ENU_Longitude_Latitude_relationships.png"><img alt="ENU coordinate frame" class="align-center" src="../../_images/ECEF_ENU_Longitude_Latitude_relationships.png" style="width: 400.0px; height: 379.0px;" /></a> +<p>The topocentric origin is a required parameter of the conversion, and can be +expressed either as geocentric coordinates (<code class="docutils literal notranslate"><span class="pre">X_0</span></code>, <code class="docutils literal notranslate"><span class="pre">Y_0</span></code> and <code class="docutils literal notranslate"><span class="pre">Z_0</span></code>) or +as geographic coordinates (<code class="docutils literal notranslate"><span class="pre">lat_0</span></code>, <code class="docutils literal notranslate"><span class="pre">lon_0</span></code>, <code class="docutils literal notranslate"><span class="pre">h_0</span></code>).</p> +<p>When conversion between geographic and topocentric coordinates is desired, the +topocentric conversion must be preceded by the <a class="reference internal" href="cart.html#cart"><span class="std std-ref">Geodetic to cartesian conversion</span></a> conversion to +perform the initial geographic to geocentric coordinates conversion.</p> +<p>The formulas used come from the “Geocentric/topocentric conversions” paragraph +of <span id="id1">[<a class="reference internal" href="../../zreferences.html#id17" title="IOGP. Geomatics guidance note 7, part 2: coordinate conversions & transformations including formulas. IOGP Publication 373-7-2, International Association For Oil And Gas Producers, 2018. URL: https://www.iogp.org/bookstore/product/coordinate-conversions-and-transformation-including-formulas/.">IOGP2018</a>]</span>. <code class="docutils literal notranslate"><span class="pre">+proj=topocentric</span></code> alone corresponds to the <code class="docutils literal notranslate"><span class="pre">EPSG:9836</span></code> +conversion method, <code class="docutils literal notranslate"><span class="pre">+proj=cart</span></code> followed by <code class="docutils literal notranslate"><span class="pre">+proj=topocentric</span></code> corresponds +to <code class="docutils literal notranslate"><span class="pre">EPSG:9837</span></code>.</p> +<section id="usage"> +<h2>Usage<a class="headerlink" href="#usage" title="Permalink to this headline">¶</a></h2> +<p>Convert geocentric coordinates to topocentric coordinates, with the topocentric +origin specified in geocentric coordinates:</p> +<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>echo 3771793.968 140253.342 5124304.349 2020 | \ + cct -d 3 +proj=topocentric +ellps=WGS84 +X_0=3652755.3058 +Y_0=319574.6799 +Z_0=5201547.3536 + +-189013.869 -128642.040 -4220.171 2020.0000 +</pre></div> +</div> +<p>Convert geographic coordinates to topocentric coordinates, with the topocentric +origin specified in geographic coordinates:</p> +<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>echo 2.12955 53.80939444 73 2020 | cct -d 3 +proj=pipeline \ + +step +proj=cart +ellps=WGS84 \ + +step +proj=topocentric +ellps=WGS84 +lon_0=5 +lat_0=55 +h_0=200 + +-189013.869 -128642.040 -4220.171 2020.0000 +</pre></div> +</div> +</section> +<section id="parameters"> +<h2>Parameters<a class="headerlink" href="#parameters" title="Permalink to this headline">¶</a></h2> +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-ellps"> +<span class="sig-name descname"><span class="pre">+ellps</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-ellps" title="Permalink to this definition">¶</a></dt> +<dd><p>The name of a built-in ellipsoid definition.</p> +<p>See <a class="reference internal" href="../../usage/ellipsoids.html#ellipsoids"><span class="std std-ref">Ellipsoids</span></a> for more information, or execute +<a class="reference internal" href="../../apps/proj.html#cmdoption-proj-le"><code class="xref std std-option docutils literal notranslate"><span class="pre">proj</span> <span class="pre">-le</span></code></a> for a list of built-in ellipsoid names.</p> +<p><em>Defaults to “GRS80”.</em></p> +</dd></dl> + +<section id="topocentric-origin-described-as-geocentric-coordinates"> +<h3>Topocentric origin described as geocentric coordinates<a class="headerlink" href="#topocentric-origin-described-as-geocentric-coordinates" title="Permalink to this headline">¶</a></h3> +<div class="admonition note"> +<p class="admonition-title">Note</p> +<p>The below options are mutually exclusive with the ones to express the origin as geographic coordinates.</p> +</div> +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-X_0"> +<span id="cmdoption-arg-x-0"></span><span class="sig-name descname"><span class="pre">+X_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-X_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Geocentric X value of the topocentric origin (in metre)</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-Y_0"> +<span id="cmdoption-arg-y-0"></span><span class="sig-name descname"><span class="pre">+Y_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-Y_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Geocentric Y value of the topocentric origin (in metre)</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-Z_0"> +<span id="cmdoption-arg-z-0"></span><span class="sig-name descname"><span class="pre">+Z_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-Z_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Geocentric Z value of the topocentric origin (in metre)</p> +</dd></dl> + +</section> +<section id="topocentric-origin-described-as-geographic-coordinates"> +<h3>Topocentric origin described as geographic coordinates<a class="headerlink" href="#topocentric-origin-described-as-geographic-coordinates" title="Permalink to this headline">¶</a></h3> +<div class="admonition note"> +<p class="admonition-title">Note</p> +<p>The below options are mutually exclusive with the ones to express the origin as geocentric coordinates.</p> +</div> +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-lat_0"> +<span id="cmdoption-arg-lat-0"></span><span class="sig-name descname"><span class="pre">+lat_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-lat_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Latitude of topocentric origin (in degree)</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-lon_0"> +<span id="cmdoption-arg-lon-0"></span><span class="sig-name descname"><span class="pre">+lon_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-lon_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Longitude of topocentric origin (in degree)</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-h_0"> +<span id="cmdoption-arg-h-0"></span><span class="sig-name descname"><span class="pre">+h_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-h_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Ellipsoidal height of topocentric origin (in metre)</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +</section> +</section> +</section> + + + </div> + </div> + <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer"> + <a href="set.html" class="btn btn-neutral float-left" title="Set coordinate value" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a> + <a href="unitconvert.html" class="btn btn-neutral float-right" title="Unit conversion" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a> + </div> + + <hr/> + + <div role="contentinfo"> + <p>© Copyright 1983-2022. + <span class="lastupdated">Last updated on 22 Mar 2022. + </span></p> + </div> + + Built with <a href="https://www.sphinx-doc.org/">Sphinx</a> 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