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<div class="sphx-glr-example-title section" id="d-voxel-volumetric-plot">
<span id="sphx-glr-gallery-mplot3d-voxels-py"></span><h1>3D voxel / volumetric plot<a class="headerlink" href="#d-voxel-volumetric-plot" title="Permalink to this headline">¶</a></h1>
<p>Demonstrates plotting 3D volumetric objects with <code class="docutils literal notranslate"><span class="pre">ax.voxels</span></code></p>
<img alt="../../_images/sphx_glr_voxels_001.png" class="sphx-glr-single-img" src="../../_images/sphx_glr_voxels_001.png" />
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="c1"># This import registers the 3D projection, but is otherwise unused.</span>
<span class="kn">from</span> <span class="nn">mpl_toolkits.mplot3d</span> <span class="kn">import</span> <span class="n">Axes3D</span> <span class="c1"># noqa: F401 unused import</span>
<span class="c1"># prepare some coordinates</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">x</span></a><span class="p">,</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">y</span></a><span class="p">,</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">z</span></a> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.indices.html#numpy.indices" title="View documentation for numpy.indices"><span class="n">np</span><span class="o">.</span><span class="n">indices</span></a><span class="p">((</span><span class="mi">8</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">8</span><span class="p">))</span>
<span class="c1"># draw cuboids in the top left and bottom right corners, and a link between them</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">cube1</span></a> <span class="o">=</span> <span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">x</span></a> <span class="o"><</span> <span class="mi">3</span><span class="p">)</span> <span class="o">&</span> <span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">y</span></a> <span class="o"><</span> <span class="mi">3</span><span class="p">)</span> <span class="o">&</span> <span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">z</span></a> <span class="o"><</span> <span class="mi">3</span><span class="p">)</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">cube2</span></a> <span class="o">=</span> <span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">x</span></a> <span class="o">>=</span> <span class="mi">5</span><span class="p">)</span> <span class="o">&</span> <span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">y</span></a> <span class="o">>=</span> <span class="mi">5</span><span class="p">)</span> <span class="o">&</span> <span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">z</span></a> <span class="o">>=</span> <span class="mi">5</span><span class="p">)</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">link</span></a> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">x</span></a> <span class="o">-</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">y</span></a><span class="p">)</span> <span class="o">+</span> <span class="nb">abs</span><span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">y</span></a> <span class="o">-</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">z</span></a><span class="p">)</span> <span class="o">+</span> <span class="nb">abs</span><span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">z</span></a> <span class="o">-</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">x</span></a><span class="p">)</span> <span class="o"><=</span> <span class="mi">2</span>
<span class="c1"># combine the objects into a single boolean array</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">voxels</span></a> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">cube1</span></a> <span class="o">|</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">cube2</span></a> <span class="o">|</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">link</span></a>
<span class="c1"># set the colors of each object</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">colors</span></a> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.empty.html#numpy.empty" title="View documentation for numpy.empty"><span class="n">np</span><span class="o">.</span><span class="n">empty</span></a><span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.shape.html#numpy.ndarray.shape" title="View documentation for numpy.ndarray.shape"><span class="n">voxels</span><span class="o">.</span><span class="n">shape</span></a><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="nb">object</span><span class="p">)</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">colors</span></a><span class="p">[</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">link</span></a><span class="p">]</span> <span class="o">=</span> <span class="s1">'red'</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">colors</span></a><span class="p">[</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">cube1</span></a><span class="p">]</span> <span class="o">=</span> <span class="s1">'blue'</span>
<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">colors</span></a><span class="p">[</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">cube2</span></a><span class="p">]</span> <span class="o">=</span> <span class="s1">'green'</span>
<span class="c1"># and plot everything</span>
<a href="../../api/_as_gen/matplotlib.figure.Figure.html#matplotlib.figure.Figure" title="View documentation for matplotlib.figure.Figure"><span class="n">fig</span></a> <span class="o">=</span> <a href="../../api/_as_gen/matplotlib.pyplot.figure.html#matplotlib.pyplot.figure" title="View documentation for matplotlib.pyplot.figure"><span class="n">plt</span><span class="o">.</span><span class="n">figure</span></a><span class="p">()</span>
<a href="../../api/_as_gen/matplotlib.axes.SubplotBase.html#matplotlib.axes.SubplotBase" title="View documentation for matplotlib.axes.SubplotBase"><span class="n">ax</span></a> <span class="o">=</span> <a href="../../api/_as_gen/matplotlib.figure.Figure.html#matplotlib.figure.Figure" title="View documentation for matplotlib.figure.Figure"><span class="n">fig</span></a><span class="o">.</span><span class="n">gca</span><span class="p">(</span><span class="n">projection</span><span class="o">=</span><span class="s1">'3d'</span><span class="p">)</span>
<a href="../../api/_as_gen/matplotlib.axes.SubplotBase.html#matplotlib.axes.SubplotBase" title="View documentation for matplotlib.axes.SubplotBase"><span class="n">ax</span></a><span class="o">.</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">voxels</span></a><span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">voxels</span></a><span class="p">,</span> <span class="n">facecolors</span><span class="o">=</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.html#numpy.ndarray" title="View documentation for numpy.ndarray"><span class="n">colors</span></a><span class="p">,</span> <span class="n">edgecolor</span><span class="o">=</span><span class="s1">'k'</span><span class="p">)</span>
<a href="../../api/_as_gen/matplotlib.pyplot.show.html#matplotlib.pyplot.show" title="View documentation for matplotlib.pyplot.show"><span class="n">plt</span><span class="o">.</span><span class="n">show</span></a><span class="p">()</span>
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