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<div class="section" id="colour-characterisation-package">
<h1>colour.characterisation Package<a class="headerlink" href="#colour-characterisation-package" title="Permalink to this headline">¶</a></h1>
<div class="section" id="sub-packages">
<h2>Sub-Packages<a class="headerlink" href="#sub-packages" title="Permalink to this headline">¶</a></h2>
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<li class="toctree-l1"><a class="reference internal" href="colour.characterisation.dataset.html">colour.characterisation.dataset Package</a><ul>
<li class="toctree-l2"><a class="reference internal" href="colour.characterisation.dataset.html#sub-packages">Sub-Packages</a><ul>
<li class="toctree-l3"><a class="reference internal" href="colour.characterisation.dataset.colour_checkers.html">colour.characterisation.dataset.colour_checkers Package</a><ul>
<li class="toctree-l4"><a class="reference internal" href="colour.characterisation.dataset.colour_checkers.html#sub-modules">Sub-Modules</a><ul>
<li class="toctree-l5"><a class="reference internal" href="colour.characterisation.dataset.colour_checkers.chromaticity_coordinates.html">colour.characterisation.dataset.colour_checkers.chromaticity_coordinates Module</a><ul>
<li class="toctree-l6"><a class="reference internal" href="colour.characterisation.dataset.colour_checkers.chromaticity_coordinates.html#colourcheckers-chromaticity-coordinates">ColourCheckers Chromaticity Coordinates</a></li>
</ul>
</li>
<li class="toctree-l5"><a class="reference internal" href="colour.characterisation.dataset.colour_checkers.spds.html">colour.characterisation.dataset.colour_checkers.spds Module</a><ul>
<li class="toctree-l6"><a class="reference internal" href="colour.characterisation.dataset.colour_checkers.spds.html#colourcheckers-spectral-power-distributions">ColourCheckers Spectral Power Distributions</a></li>
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<li class="toctree-l4"><a class="reference internal" href="colour.characterisation.dataset.colour_checkers.html#module-colour.characterisation.dataset.colour_checkers">Module Contents</a></li>
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<li class="toctree-l2"><a class="reference internal" href="colour.characterisation.dataset.html#module-colour.characterisation.dataset">Module Contents</a></li>
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<li class="toctree-l1"><a class="reference internal" href="colour.characterisation.fitting.html">colour.characterisation.fitting Module</a><ul>
<li class="toctree-l2"><a class="reference internal" href="colour.characterisation.fitting.html#colour-fitting">Colour Fitting</a></li>
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<div class="section" id="module-colour.characterisation">
<span id="module-contents"></span><h2>Module Contents<a class="headerlink" href="#module-colour.characterisation" title="Permalink to this headline">¶</a></h2>
<dl class="function">
<dt id="colour.characterisation.first_order_colour_fit">
<tt class="descclassname">colour.characterisation.</tt><tt class="descname">first_order_colour_fit</tt><big>(</big><em>m1</em>, <em>m2</em><big>)</big><a class="headerlink" href="#colour.characterisation.first_order_colour_fit" title="Permalink to this definition">¶</a></dt>
<dd><p>Performs a first order colour fit from given <span class="math">\(m2\)</span> colour matrix to
<span class="math">\(m1\)</span> colour matrix. The resulting colour matrix is calculated using
multiple linear regression.</p>
<p>The purpose of that object is for example matching of two <em>ColorChecker</em>
colour rendition charts together.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>m1</strong> (<em>array_like, (3, n)</em>) – Reference matrix the matrix <span class="math">\(m2\)</span> will be colour fitted against.</li>
<li><strong>m2</strong> (<em>array_like, (3, n)</em>) – Matrix to fit.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Fitting colour matrix.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">ndarray, (3, 3)</p>
</td>
</tr>
</tbody>
</table>
<p class="rubric">Examples</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">m1</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.1722481</span><span class="p">,</span> <span class="mf">0.0917066</span><span class="p">,</span> <span class="mf">0.06416938</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.49189645</span><span class="p">,</span> <span class="mf">0.2780205</span><span class="p">,</span> <span class="mf">0.21923399</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.10999751</span><span class="p">,</span> <span class="mf">0.18658946</span><span class="p">,</span> <span class="mf">0.29938611</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.1166612</span><span class="p">,</span> <span class="mf">0.14327905</span><span class="p">,</span> <span class="mf">0.05713804</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.18988879</span><span class="p">,</span> <span class="mf">0.18227649</span><span class="p">,</span> <span class="mf">0.36056247</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.12501329</span><span class="p">,</span> <span class="mf">0.42223442</span><span class="p">,</span> <span class="mf">0.37027445</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.64785606</span><span class="p">,</span> <span class="mf">0.22396782</span><span class="p">,</span> <span class="mf">0.03365194</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.06761093</span><span class="p">,</span> <span class="mf">0.11076896</span><span class="p">,</span> <span class="mf">0.39779139</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.49101797</span><span class="p">,</span> <span class="mf">0.09448929</span><span class="p">,</span> <span class="mf">0.11623839</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.11622386</span><span class="p">,</span> <span class="mf">0.04425753</span><span class="p">,</span> <span class="mf">0.14469986</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.36867946</span><span class="p">,</span> <span class="mf">0.4454523</span><span class="p">,</span> <span class="mf">0.06028681</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.61632937</span><span class="p">,</span> <span class="mf">0.32323906</span><span class="p">,</span> <span class="mf">0.02437089</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.03016472</span><span class="p">,</span> <span class="mf">0.06153243</span><span class="p">,</span> <span class="mf">0.29014596</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.11103655</span><span class="p">,</span> <span class="mf">0.30553067</span><span class="p">,</span> <span class="mf">0.08149137</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.4116219</span><span class="p">,</span> <span class="mf">0.05816656</span><span class="p">,</span> <span class="mf">0.04845934</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.73339206</span><span class="p">,</span> <span class="mf">0.53075188</span><span class="p">,</span> <span class="mf">0.02475212</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.47347718</span><span class="p">,</span> <span class="mf">0.08834792</span><span class="p">,</span> <span class="mf">0.30310315</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.</span><span class="p">,</span> <span class="mf">0.25187016</span><span class="p">,</span> <span class="mf">0.3506245</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.76809639</span><span class="p">,</span> <span class="mf">0.7848624</span><span class="p">,</span> <span class="mf">0.77808297</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.53822392</span><span class="p">,</span> <span class="mf">0.54307997</span><span class="p">,</span> <span class="mf">0.54710883</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.35458526</span><span class="p">,</span> <span class="mf">0.35318419</span><span class="p">,</span> <span class="mf">0.35524431</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.17976704</span><span class="p">,</span> <span class="mf">0.18000531</span><span class="p">,</span> <span class="mf">0.17991488</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.09351417</span><span class="p">,</span> <span class="mf">0.09510603</span><span class="p">,</span> <span class="mf">0.09675027</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.03405071</span><span class="p">,</span> <span class="mf">0.03295077</span><span class="p">,</span> <span class="mf">0.03702047</span><span class="p">]])</span>
<span class="gp">>>> </span><span class="n">m2</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.15579559</span><span class="p">,</span> <span class="mf">0.09715755</span><span class="p">,</span> <span class="mf">0.07514556</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.3911314</span><span class="p">,</span> <span class="mf">0.25943419</span><span class="p">,</span> <span class="mf">0.21266708</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.12824821</span><span class="p">,</span> <span class="mf">0.1846357</span><span class="p">,</span> <span class="mf">0.31508023</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.12028974</span><span class="p">,</span> <span class="mf">0.13455659</span><span class="p">,</span> <span class="mf">0.074084</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.19368988</span><span class="p">,</span> <span class="mf">0.21158946</span><span class="p">,</span> <span class="mf">0.37955964</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.19957425</span><span class="p">,</span> <span class="mf">0.36085439</span><span class="p">,</span> <span class="mf">0.40678123</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.48896605</span><span class="p">,</span> <span class="mf">0.20691688</span><span class="p">,</span> <span class="mf">0.05816533</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.09775522</span><span class="p">,</span> <span class="mf">0.16710693</span><span class="p">,</span> <span class="mf">0.47147724</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.39358649</span><span class="p">,</span> <span class="mf">0.122334</span><span class="p">,</span> <span class="mf">0.10526425</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.10780332</span><span class="p">,</span> <span class="mf">0.07258529</span><span class="p">,</span> <span class="mf">0.16151473</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.27502671</span><span class="p">,</span> <span class="mf">0.34705454</span><span class="p">,</span> <span class="mf">0.09728099</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.43980441</span><span class="p">,</span> <span class="mf">0.26880559</span><span class="p">,</span> <span class="mf">0.05430533</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.05887212</span><span class="p">,</span> <span class="mf">0.11126272</span><span class="p">,</span> <span class="mf">0.38552469</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.12705825</span><span class="p">,</span> <span class="mf">0.2578786</span><span class="p">,</span> <span class="mf">0.13566464</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.35612929</span><span class="p">,</span> <span class="mf">0.07933258</span><span class="p">,</span> <span class="mf">0.05118732</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.48131976</span><span class="p">,</span> <span class="mf">0.42082843</span><span class="p">,</span> <span class="mf">0.07120612</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.34665585</span><span class="p">,</span> <span class="mf">0.15170714</span><span class="p">,</span> <span class="mf">0.24969804</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.08261116</span><span class="p">,</span> <span class="mf">0.24588716</span><span class="p">,</span> <span class="mf">0.48707733</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.66054904</span><span class="p">,</span> <span class="mf">0.65941137</span><span class="p">,</span> <span class="mf">0.66376412</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.48051509</span><span class="p">,</span> <span class="mf">0.47870296</span><span class="p">,</span> <span class="mf">0.48230082</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.33045354</span><span class="p">,</span> <span class="mf">0.32904184</span><span class="p">,</span> <span class="mf">0.33228886</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.18001305</span><span class="p">,</span> <span class="mf">0.17978567</span><span class="p">,</span> <span class="mf">0.18004416</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.10283975</span><span class="p">,</span> <span class="mf">0.1042468</span><span class="p">,</span> <span class="mf">0.10384975</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.04742204</span><span class="p">,</span> <span class="mf">0.04772203</span><span class="p">,</span> <span class="mf">0.04914226</span><span class="p">]])</span>
<span class="gp">>>> </span><span class="n">first_order_colour_fit</span><span class="p">(</span><span class="n">m1</span><span class="p">,</span> <span class="n">m2</span><span class="p">)</span>
<span class="go">array([[ 1.4043128..., 0.0112806..., -0.2029710...],</span>
<span class="go"> [-0.0998911..., 1.5012214..., -0.1856479...],</span>
<span class="go"> [ 0.2248369..., -0.0767236..., 1.0496013...]])</span>
</pre></div>
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