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<div class="section" id="module-colour.constants.cie">
<span id="colour-constants-cie-module"></span><h1>colour.constants.cie Module<a class="headerlink" href="#module-colour.constants.cie" title="Permalink to this headline">¶</a></h1>
<div class="section" id="cie-constants">
<h2>CIE Constants<a class="headerlink" href="#cie-constants" title="Permalink to this headline">¶</a></h2>
<p>Defines <em>CIE</em> constants.</p>
<dl class="data">
<dt id="colour.constants.cie.CIE_E">
<tt class="descclassname">colour.constants.cie.</tt><tt class="descname">CIE_E</tt><em class="property"> = 0.008856451679035631</em><a class="headerlink" href="#colour.constants.cie.CIE_E" title="Permalink to this definition">¶</a></dt>
<dd><p><em>CIE</em> <span class="math">\(\epsilon\)</span> constant.</p>
<p>CIE_E : numeric</p>
<p class="rubric">Notes</p>
<ul>
<li><p class="first">The original <em>CIE</em> value for <span class="math">\(\epsilon\)</span> is <span class="math">\(\epsilon=0.008856\)</span>,
Lindbloom (2003) has shown that this value is causing a discontinuity
at the junction point of the two functions grafted together to create the
<em>Lightness</em> <span class="math">\(L^*\)</span> function.</p>
<p>That discontinuity can be avoided by using the rational representation as
follows: <span class="math">\(\epsilon=216\ /\ 24389\)</span>.</p>
</li>
</ul>
<p class="rubric">References</p>
<table class="docutils footnote" frame="void" id="id1" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id2">[1]</a></td><td>Lindbloom, B. (2003). A Continuity Study of the CIE L* Function.
Retrieved February 24, 2014, from
<a class="reference external" href="http://brucelindbloom.com/LContinuity.html">http://brucelindbloom.com/LContinuity.html</a></td></tr>
</tbody>
</table>
</dd></dl>
<dl class="data">
<dt id="colour.constants.cie.CIE_K">
<tt class="descclassname">colour.constants.cie.</tt><tt class="descname">CIE_K</tt><em class="property"> = 903.2962962962963</em><a class="headerlink" href="#colour.constants.cie.CIE_K" title="Permalink to this definition">¶</a></dt>
<dd><p><em>CIE</em> <span class="math">\(\kappa\)</span> constant.</p>
<p>CIE_K : numeric</p>
<p class="rubric">Notes</p>
<ul>
<li><p class="first">The original <em>CIE</em> value for <span class="math">\(\kappa\)</span> is <span class="math">\(\kappa=903.3\)</span>,
Lindbloom (2003) has shown that this value is causing a discontinuity
at the junction point of the two functions grafted together to create the
<em>Lightness</em> <span class="math">\(L^*\)</span> function. <a class="footnote-reference" href="#id1" id="id2">[1]</a></p>
<p>That discontinuity can be avoided by using the rational representation as
follows: <span class="math">\(k=24389\ /\ 27\)</span>.</p>
</li>
</ul>
</dd></dl>
<dl class="data">
<dt id="colour.constants.cie.K_M">
<tt class="descclassname">colour.constants.cie.</tt><tt class="descname">K_M</tt><em class="property"> = 683</em><a class="headerlink" href="#colour.constants.cie.K_M" title="Permalink to this definition">¶</a></dt>
<dd><p>Rounded maximum photopic luminous efficiency <span class="math">\(K_m\)</span> value in
<span class="math">\(lm\cdot W^{-1}\)</span>.</p>
<p>K_M : numeric</p>
<p class="rubric">Notes</p>
<ul class="simple">
<li>To be adequate for all practical applications the <span class="math">\(K_m\)</span> value has
been rounded from the original 683.002 value. <a class="footnote-reference" href="#id4" id="id3">[2]</a></li>
</ul>
<p class="rubric">References</p>
<table class="docutils footnote" frame="void" id="id4" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[2]</td><td><em>(<a class="fn-backref" href="#id3">1</a>, <a class="fn-backref" href="#id5">2</a>)</em> Wyszecki, G., & Stiles, W. S. (2000). Standard Photometric Observers.
In Color Science: Concepts and Methods, Quantitative Data and Formulae
(pp. 256–259,395). Wiley. ISBN:978-0471399186</td></tr>
</tbody>
</table>
</dd></dl>
<dl class="data">
<dt id="colour.constants.cie.KP_M">
<tt class="descclassname">colour.constants.cie.</tt><tt class="descname">KP_M</tt><em class="property"> = 1700</em><a class="headerlink" href="#colour.constants.cie.KP_M" title="Permalink to this definition">¶</a></dt>
<dd><p>Rounded maximum scotopic luminous efficiency <span class="math">\(K^{\prime}_m\)</span> value in
<span class="math">\(lm\cdot W^{-1}\)</span>.</p>
<p>KP_M : numeric</p>
<p class="rubric">Notes</p>
<ul class="simple">
<li>To be adequate for all practical applications the <span class="math">\(K^{\prime}_m\)</span>
value has been rounded from the original 1700.06 value. <a class="footnote-reference" href="#id4" id="id5">[2]</a></li>
</ul>
</dd></dl>
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