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+
+ <section id="geocentric-grid-shift">
+<span id="xyzgridshift"></span><h1>Geocentric grid shift<a class="headerlink" href="#geocentric-grid-shift" title="Permalink to this headline">¶</a></h1>
+<div class="versionadded">
+<p><span class="versionmodified added">New in version 7.0.0.</span></p>
+</div>
+<p>Geocentric translation using a grid shift</p>
+<table class="docutils align-default">
+<colgroup>
+<col style="width: 20%" />
+<col style="width: 80%" />
+</colgroup>
+<tbody>
+<tr class="row-odd"><td><p><strong>Alias</strong></p></td>
+<td><p>xyzgridshift</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>Cartesian coordinates</p></td>
+</tr>
+<tr class="row-even"><td><p><strong>Output type</strong></p></td>
+<td><p>Cartesian coordinates</p></td>
+</tr>
+</tbody>
+</table>
+<p>Perform a geocentric translation by bilinear interpolation of dx, dy, dz
+translation values from a grid. The grid is referenced against either the
+2D geographic CRS corresponding to the input (or sometimes output) CRS.</p>
+<p>This method is described (in French) in <span id="id1">[<a class="reference internal" href="../../zreferences.html#id26" title="IGN. Grille de parametres de transformation de coordonnees - GR3DF97A - notice d'utilisation. Technical Report, Service de Geodesie et Nivellement, Institut Geographique National, 1997. URL: https://geodesie.ign.fr/contenu/fichiers/documentation/algorithmes/notice/NTG_88.pdf.">NTF_88</a>]</span>
+and as EPSG operation method code 9655 in <span id="id2">[<a class="reference internal" href="../../zreferences.html#id17" title="IOGP. Geomatics guidance note 7, part 2: coordinate conversions &amp; 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> (§2.4.4.1.1
+France geocentric interpolation).</p>
+<p>The translation in the grids are added to the input coordinates in the forward direction,
+and subtracted in the reverse direction.
+By default (if <code class="docutils literal notranslate"><span class="pre">grid_ref=input_crs</span></code>), in the forward direction, the input coordinates
+are converted to their geographic equivalent to directly read and interpolate from
+the grid. In the reverse direction, an iterative method is used to be able to find
+the grid locations to read.
+If <code class="docutils literal notranslate"><span class="pre">grid_ref=output_crs</span></code> is used, then the reverse strategy is applied: iterative
+method in the forward direction, and direct read in the reverse direction.</p>
+<section id="example">
+<h2>Example<a class="headerlink" href="#example" title="Permalink to this headline">¶</a></h2>
+<p>NTF to RGF93 transformation using <code class="file docutils literal notranslate"><span class="pre">gr3df97a.tif</span></code> grid</p>
+<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>+proj=pipeline
+ +step +proj=push +v_3
+ +step +proj=cart +ellps=clrk80ign
+ +step +proj=xyzgridshift +grids=gr3df97a.tif +grid_ref=output_crs +ellps=GRS80
+ +step +proj=cart +ellps=GRS80 +inv
+ +step +proj=pop +v_3
+</pre></div>
+</div>
+<section id="parameters">
+<h3>Parameters<a class="headerlink" href="#parameters" title="Permalink to this headline">¶</a></h3>
+<p>The ellipsoid parameters should be the ones consistent with <code class="docutils literal notranslate"><span class="pre">grid_ref</span></code>.
+They are used to perform a geocentric to geographic conversion to find the
+translation parameters.</p>
+<section id="required">
+<h4>Required<a class="headerlink" href="#required" title="Permalink to this headline">¶</a></h4>
+<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">=&lt;value&gt;</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>
+
+<dl class="std option">
+<dt class="sig sig-object std" id="cmdoption-arg-grids">
+<span class="sig-name descname"><span class="pre">+grids</span></span><span class="sig-prename descclassname"><span class="pre">=&lt;list&gt;</span></span><a class="headerlink" href="#cmdoption-arg-grids" title="Permalink to this definition">¶</a></dt>
+<dd><p>Comma-separated list of grids to load. If a grid is prefixed by an <code class="docutils literal notranslate"><span class="pre">&#64;</span></code> the
+grid is considered optional and PROJ will the not complain if the grid is
+not available.</p>
+<p>Grids are expected to be in GeoTIFF format. If no metadata is provided,
+the first, second and third samples are assumed to be the geocentric
+translation along X, Y and Z axis respectively, in metres.</p>
+</dd></dl>
+
+</section>
+<section id="optional">
+<h4>Optional<a class="headerlink" href="#optional" title="Permalink to this headline">¶</a></h4>
+<dl class="std option">
+<dt class="sig sig-object std" id="cmdoption-arg-grid_ref">
+<span id="cmdoption-arg-grid-ref"></span><span class="sig-name descname"><span class="pre">+grid_ref</span></span><span class="sig-prename descclassname"><span class="pre">=input_crs/output_crs</span></span><a class="headerlink" href="#cmdoption-arg-grid_ref" title="Permalink to this definition">¶</a></dt>
+<dd><p>Specify in which CRS the grid is referenced to. The default value is
+input_crs. That is the grid is referenced in the geographic CRS corresponding
+to the input geocentric CRS.</p>
+<p>If output_crs is specified, the grid is referenced in the geographic CRS corresponding
+to the output geocentric CRS. This is for example the case for the French
+<code class="file docutils literal notranslate"><span class="pre">gr3df97a.tif</span></code> grid converting from NTF to RGF93, but referenced against RGF93.
+Thus in the forward direction (NTF-&gt;RGF93), an iterative method is used to find
+the appropriate shift.</p>
+</dd></dl>
+
+<dl class="std option">
+<dt class="sig sig-object std" id="cmdoption-arg-multiplier">
+<span class="sig-name descname"><span class="pre">+multiplier</span></span><span class="sig-prename descclassname"><span class="pre">=&lt;value&gt;</span></span><a class="headerlink" href="#cmdoption-arg-multiplier" title="Permalink to this definition">¶</a></dt>
+<dd><p>Specify the multiplier to apply to the grid values. Defaults to 1.0</p>
+</dd></dl>
+
+</section>
+</section>
+</section>
+</section>
+
+
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