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| author | PROJ deploybot <proj.bot@proj.bot> | 2022-03-22 20:00:06 +0000 |
|---|---|---|
| committer | PROJ deploybot <proj.bot@proj.bot> | 2022-03-22 20:00:06 +0000 |
| commit | a3f43744feec86272fe532124679d3a013ef9a8c (patch) | |
| tree | 27e4198db6011e3097eb7bcfe7197684aba7583a /operations/transformations/affine.html | |
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update with results of commit https://github.com/OSGeo/PROJ/commit/53c07a8bd211b7aee4bc07a9c6726005504b7181gh-pages
Diffstat (limited to 'operations/transformations/affine.html')
| -rw-r--r-- | operations/transformations/affine.html | 303 |
1 files changed, 303 insertions, 0 deletions
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href="https://github.com/OSGeo/PROJ/edit/8.2/docs/source/operations/transformations/affine.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="index.html" class="btn btn-neutral float-left" title="Transformations" accesskey="p"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a> + <a href="defmodel.html" class="btn btn-neutral float-right" title="Multi-component time-based deformation model" 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="affine-transformation"> +<span id="affine"></span><h1>Affine transformation<a class="headerlink" href="#affine-transformation" title="Permalink to this headline">¶</a></h1> +<div class="versionadded"> +<p><span class="versionmodified added">New in version 6.0.0.</span></p> +</div> +<p>The affine transformation applies translation and scaling/rotation terms on the +x,y,z coordinates, and translation and scaling on the temporal coordinate.</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>affine</p></td> +</tr> +<tr class="row-even"><td><p><strong>Domain</strong></p></td> +<td><p>4D</p></td> +</tr> +<tr class="row-odd"><td><p><strong>Input type</strong></p></td> +<td><p>XYZT</p></td> +</tr> +<tr class="row-even"><td><p><strong>output type</strong></p></td> +<td><p>XYZT</p></td> +</tr> +</tbody> +</table> +<p>By default, the parameters are set for an identity transforms. The transformation +is reversible unless the determinant of the sji matrix is 0, or <cite>tscale</cite> is 0</p> +<section id="parameters"> +<h2>Parameters<a class="headerlink" href="#parameters" title="Permalink to this headline">¶</a></h2> +<section id="optional"> +<h3>Optional<a class="headerlink" href="#optional" title="Permalink to this headline">¶</a></h3> +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-xoff"> +<span class="sig-name descname"><span class="pre">+xoff</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-xoff" title="Permalink to this definition">¶</a></dt> +<dd><p>Offset in X. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-yoff"> +<span class="sig-name descname"><span class="pre">+yoff</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-yoff" title="Permalink to this definition">¶</a></dt> +<dd><p>Offset in Y. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-zoff"> +<span class="sig-name descname"><span class="pre">+zoff</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-zoff" title="Permalink to this definition">¶</a></dt> +<dd><p>Offset in Z. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-toff"> +<span class="sig-name descname"><span class="pre">+toff</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-toff" title="Permalink to this definition">¶</a></dt> +<dd><p>Offset in T. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s11"> +<span class="sig-name descname"><span class="pre">+s11</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s11" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 1</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s12"> +<span class="sig-name descname"><span class="pre">+s12</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s12" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s13"> +<span class="sig-name descname"><span class="pre">+s13</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s13" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s21"> +<span class="sig-name descname"><span class="pre">+s21</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s21" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s22"> +<span class="sig-name descname"><span class="pre">+s22</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s22" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 1</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s23"> +<span class="sig-name descname"><span class="pre">+s23</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s23" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s31"> +<span class="sig-name descname"><span class="pre">+s31</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s31" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s32"> +<span class="sig-name descname"><span class="pre">+s32</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s32" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 0</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-s33"> +<span class="sig-name descname"><span class="pre">+s33</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-s33" title="Permalink to this definition">¶</a></dt> +<dd><p>Rotation/scaling term. Default value: 1</p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-tscale"> +<span class="sig-name descname"><span class="pre">+tscale</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-tscale" title="Permalink to this definition">¶</a></dt> +<dd><p>Time scaling term. Default value: 1</p> +</dd></dl> + +<section id="mathematical-description"> +<h4>Mathematical description<a class="headerlink" href="#mathematical-description" title="Permalink to this headline">¶</a></h4> +<div class="math notranslate nohighlight" id="equation-formula"> +<span class="eqno">(1)<a class="headerlink" href="#equation-formula" title="Permalink to this equation">¶</a></span>\[\begin{split}\begin{align} + \begin{bmatrix} + X \\ + Y \\ + Z \\ + T \\ + \end{bmatrix}^{dest} = + \begin{bmatrix} + xoff \\ + yoff \\ + zoff \\ + toff \\ + \end{bmatrix} + + \begin{bmatrix} + s11 & s12 & s13 & 0 \\ + s21 & s22 & s23 & 0 \\ + s31 & s32 & s33 & 0 \\ + 0 & 0 & 0 & tscale \\ + \end{bmatrix} + \begin{bmatrix} + X \\ + Y \\ + Z \\ + T \\ + \end{bmatrix}^{source} +\end{align}\end{split}\]</div> +</section> +</section> +</section> +</section> + + + </div> + </div> + <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer"> + <a href="index.html" class="btn btn-neutral float-left" title="Transformations" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a> + <a href="defmodel.html" class="btn btn-neutral float-right" title="Multi-component time-based deformation model" 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> using a + <a href="https://github.com/readthedocs/sphinx_rtd_theme">theme</a> + provided by <a href="https://readthedocs.org">Read the Docs</a>. + + +</footer> + </div> + </div> + </section> + </div> + <script> + jQuery(function () { + SphinxRtdTheme.Navigation.enable(true); + }); + </script> + +</body> +</html>
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