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<div class="section" id="module-colour.appearance.llab">
<span id="colour-appearance-llab-module"></span><h1>colour.appearance.llab Module<a class="headerlink" href="#module-colour.appearance.llab" title="Permalink to this headline">¶</a></h1>
<div class="section" id="llab-l-c-colour-appearance-model">
<h2>LLAB(l:c) Colour Appearance Model<a class="headerlink" href="#llab-l-c-colour-appearance-model" title="Permalink to this headline">¶</a></h2>
<p>Defines LLAB(l:c) colour appearance model objects:</p>
<ul class="simple">
<li><a class="reference internal" href="#colour.appearance.llab.LLAB_InductionFactors" title="colour.appearance.llab.LLAB_InductionFactors"><tt class="xref py py-class docutils literal"><span class="pre">LLAB_InductionFactors</span></tt></a></li>
<li><a class="reference internal" href="#colour.appearance.llab.LLAB_VIEWING_CONDITIONS" title="colour.appearance.llab.LLAB_VIEWING_CONDITIONS"><tt class="xref py py-attr docutils literal"><span class="pre">LLAB_VIEWING_CONDITIONS</span></tt></a></li>
<li><a class="reference internal" href="#colour.appearance.llab.LLAB_Specification" title="colour.appearance.llab.LLAB_Specification"><tt class="xref py py-class docutils literal"><span class="pre">LLAB_Specification</span></tt></a></li>
<li><a class="reference internal" href="#colour.appearance.llab.XYZ_to_LLAB" title="colour.appearance.llab.XYZ_to_LLAB"><tt class="xref py py-func docutils literal"><span class="pre">XYZ_to_LLAB()</span></tt></a></li>
</ul>
<div class="admonition seealso">
<p class="first admonition-title">See also</p>
<p class="last"><a class="reference external" href="http://nbviewer.ipython.org/github/colour-science/colour-ipython/blob/master/notebooks/appearance/llab.ipynb">LLAB(l:c) Colour Appearance Model IPython Notebook</a></p>
</div>
<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">[1]</td><td>Fairchild, M. D. (2013). LLAB Model. In Color Appearance Models
(3rd ed., pp. 6025–6178). Wiley. ASIN:B00DAYO8E2</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id2" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[2]</td><td>Luo, M. R., & Morovic, J. (1996). Two Unsolved Issues in Colour
Management – Colour Appearance and Gamut Mapping. In Conference: 5th
International Conference on High Technology: Imaging Science and
Technology – Evolution & Promise (pp. 136–147). Retrieved from
<a class="reference external" href="http://www.researchgate.net/publication/236348295_Two_Unsolved_Issues_in_Colour_Management__Colour_Appearance_and_Gamut_Mapping">http://www.researchgate.net/publication/236348295_Two_Unsolved_Issues_in_Colour_Management__Colour_Appearance_and_Gamut_Mapping</a></td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id3" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[3]</td><td>Luo, M. R., Lo, M.-C., & Kuo, W.-G. (1996). The LLAB (l:c) colour
model. Color Research & Application, 21(6), 412–429.
doi:10.1002/(SICI)1520-6378(199612)21:6<412::AID-COL4>3.0.CO;2-Z</td></tr>
</tbody>
</table>
<dl class="class">
<dt id="colour.appearance.llab.LLAB_InductionFactors">
<em class="property">class </em><tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">LLAB_InductionFactors</tt><a class="reference internal" href="_modules/colour/appearance/llab.html#LLAB_InductionFactors"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.LLAB_InductionFactors" title="Permalink to this definition">¶</a></dt>
<dd><p>Bases: <a class="reference internal" href="#colour.appearance.llab.LLAB_InductionFactors" title="colour.appearance.llab.LLAB_InductionFactors"><tt class="xref py py-class docutils literal"><span class="pre">colour.appearance.llab.LLAB_InductionFactors</span></tt></a></p>
<p>LLAB(l:c) colour appearance model induction factors.</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 last simple">
<li><strong>D</strong> (<em>numeric</em>) – <em>Discounting-the-Illuminant</em> factor <span class="math">\(D\)</span> in domain [0, 1].</li>
<li><strong>F_S</strong> (<em>numeric</em>) – Surround induction factor <span class="math">\(F_S\)</span>.</li>
<li><strong>F_L</strong> (<em>numeric</em>) – <em>Lightness</em> induction factor <span class="math">\(F_L\)</span>.</li>
<li><strong>F_C</strong> (<em>numeric</em>) – <em>Chroma</em> induction factor <span class="math">\(F_C\)</span>.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="data">
<dt id="colour.appearance.llab.LLAB_VIEWING_CONDITIONS">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">LLAB_VIEWING_CONDITIONS</tt><em class="property"> = CaseInsensitiveMapping({u'35mm Projection Transparency, Dark Surround': LLAB_InductionFactors(D=0.7, F_S=4, F_L=1, F_C=1), u'Cut Sheet Transparency, Dim Surround': LLAB_InductionFactors(D=1, F_S=5, F_L=1, F_C=1.1), u'ref_average_4_plus': LLAB_InductionFactors(D=1, F_S=3, F_L=0, F_C=1), u'Reference Samples & Images, Average Surround, Subtending < 4': LLAB_InductionFactors(D=1, F_S=3, F_L=1, F_C=1), u'Television & VDU Displays, Dim Surround': LLAB_InductionFactors(D=0.7, F_S=3.5, F_L=1, F_C=1), u'sheet_dim': LLAB_InductionFactors(D=1, F_S=5, F_L=1, F_C=1.1), u'projected_dark': LLAB_InductionFactors(D=0.7, F_S=4, F_L=1, F_C=1), u'ref_average_4_minus': LLAB_InductionFactors(D=1, F_S=3, F_L=1, F_C=1), u'Reference Samples & Images, Average Surround, Subtending > 4': LLAB_InductionFactors(D=1, F_S=3, F_L=0, F_C=1), u'tv_dim': LLAB_InductionFactors(D=0.7, F_S=3.5, F_L=1, F_C=1)})</em><a class="headerlink" href="#colour.appearance.llab.LLAB_VIEWING_CONDITIONS" title="Permalink to this definition">¶</a></dt>
<dd><p>Reference LLAB(l:c) colour appearance model viewing conditions.</p>
<dl class="docutils">
<dt>LLAB_VIEWING_CONDITIONS <span class="classifier-delimiter">:</span> <span class="classifier">CaseInsensitiveMapping</span></dt>
<dd>{‘Reference Samples & Images, Average Surround, Subtending > 4’,
‘Reference Samples & Images, Average Surround, Subtending < 4’,
‘Television & VDU Displays, Dim Surround’,
‘Cut Sheet Transparency, Dim Surround’:,
‘35mm Projection Transparency, Dark Surround’}</dd>
</dl>
<p>Aliases:</p>
<ul class="simple">
<li>‘ref_average_4_plus’:
‘Reference Samples & Images, Average Surround, Subtending > 4’</li>
<li>‘ref_average_4_minus’:
‘Reference Samples & Images, Average Surround, Subtending < 4’</li>
<li>‘tv_dim’: ‘Television & VDU Displays, Dim Surround’</li>
<li>‘sheet_dim’: ‘Cut Sheet Transparency, Dim Surround’</li>
<li>‘projected_dark’: ‘35mm Projection Transparency, Dark Surround’</li>
</ul>
</dd></dl>
<dl class="data">
<dt id="colour.appearance.llab.LLAB_XYZ_TO_RGB_MATRIX">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">LLAB_XYZ_TO_RGB_MATRIX</tt><em class="property"> = array([[ 0.8951, 0.2664, -0.1614], [-0.7502, 1.7135, 0.0367], [ 0.0389, -0.0685, 1.0296]])</em><a class="headerlink" href="#colour.appearance.llab.LLAB_XYZ_TO_RGB_MATRIX" title="Permalink to this definition">¶</a></dt>
<dd><p>LLAB(l:c) colour appearance model <em>CIE XYZ</em> colourspace matrix to normalised
cone responses matrix.</p>
<p>LLAB_XYZ_TO_RGB_MATRIX : array_like, (3, 3)</p>
</dd></dl>
<dl class="data">
<dt id="colour.appearance.llab.LLAB_RGB_TO_XYZ_MATRIX">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">LLAB_RGB_TO_XYZ_MATRIX</tt><em class="property"> = array([[ 0.98699291, -0.14705426, 0.15996265], [ 0.43230527, 0.51836027, 0.04929123], [-0.00852866, 0.04004282, 0.9684867 ]])</em><a class="headerlink" href="#colour.appearance.llab.LLAB_RGB_TO_XYZ_MATRIX" title="Permalink to this definition">¶</a></dt>
<dd><p>LLAB(l:c) colour appearance model normalised cone responses to <em>CIE XYZ</em>
colourspace matrix.</p>
<p>LLAB_RGB_TO_XYZ_MATRIX : array_like, (3, 3)</p>
</dd></dl>
<dl class="class">
<dt id="colour.appearance.llab.LLAB_ReferenceSpecification">
<em class="property">class </em><tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">LLAB_ReferenceSpecification</tt><a class="reference internal" href="_modules/colour/appearance/llab.html#LLAB_ReferenceSpecification"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.LLAB_ReferenceSpecification" title="Permalink to this definition">¶</a></dt>
<dd><p>Bases: <a class="reference internal" href="#colour.appearance.llab.LLAB_ReferenceSpecification" title="colour.appearance.llab.LLAB_ReferenceSpecification"><tt class="xref py py-class docutils literal"><span class="pre">colour.appearance.llab.LLAB_ReferenceSpecification</span></tt></a></p>
<p>Defines the LLAB(l:c) colour appearance model reference specification.</p>
<p>This specification has field names consistent with Fairchild (2013)
reference.</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 last simple">
<li><strong>L_L</strong> (<em>numeric</em>) – Correlate of <em>Lightness</em> <span class="math">\(L_L\)</span>.</li>
<li><strong>Ch_L</strong> (<em>numeric</em>) – Correlate of <em>chroma</em> <span class="math">\(Ch_L\)</span>.</li>
<li><strong>h_L</strong> (<em>numeric</em>) – <em>Hue</em> angle <span class="math">\(h_L\)</span> in degrees.</li>
<li><strong>s_L</strong> (<em>numeric</em>) – Correlate of <em>saturation</em> <span class="math">\(s_L\)</span>.</li>
<li><strong>C_L</strong> (<em>numeric</em>) – Correlate of <em>colourfulness</em> <span class="math">\(C_L\)</span>.</li>
<li><strong>HC</strong> (<em>numeric</em>) – <em>Hue</em> <span class="math">\(h\)</span> composition <span class="math">\(H^C\)</span>.</li>
<li><strong>A_L</strong> (<em>numeric</em>) – Opponent signal <span class="math">\(A_L\)</span>.</li>
<li><strong>B_L</strong> (<em>numeric</em>) – Opponent signal <span class="math">\(B_L\)</span>.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="class">
<dt id="colour.appearance.llab.LLAB_Specification">
<em class="property">class </em><tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">LLAB_Specification</tt><a class="reference internal" href="_modules/colour/appearance/llab.html#LLAB_Specification"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.LLAB_Specification" title="Permalink to this definition">¶</a></dt>
<dd><p>Bases: <a class="reference internal" href="#colour.appearance.llab.LLAB_Specification" title="colour.appearance.llab.LLAB_Specification"><tt class="xref py py-class docutils literal"><span class="pre">colour.appearance.llab.LLAB_Specification</span></tt></a></p>
<p>Defines the LLAB(l:c) colour appearance model specification.</p>
<p>This specification has field names consistent with the remaining colour
appearance models in <a class="reference internal" href="colour.appearance.html#module-colour.appearance" title="colour.appearance"><tt class="xref py py-mod docutils literal"><span class="pre">colour.appearance</span></tt></a> but diverge from Fairchild
(2013) reference.</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 last simple">
<li><strong>J</strong> (<em>numeric</em>) – Correlate of <em>Lightness</em> <span class="math">\(L_L\)</span>.</li>
<li><strong>C</strong> (<em>numeric</em>) – Correlate of <em>chroma</em> <span class="math">\(Ch_L\)</span>.</li>
<li><strong>h</strong> (<em>numeric</em>) – <em>Hue</em> angle <span class="math">\(h_L\)</span> in degrees.</li>
<li><strong>s</strong> (<em>numeric</em>) – Correlate of <em>saturation</em> <span class="math">\(s_L\)</span>.</li>
<li><strong>M</strong> (<em>numeric</em>) – Correlate of <em>colourfulness</em> <span class="math">\(C_L\)</span>.</li>
<li><strong>HC</strong> (<em>numeric</em>) – <em>Hue</em> <span class="math">\(h\)</span> composition <span class="math">\(H^C\)</span>.</li>
<li><strong>a</strong> (<em>numeric</em>) – Opponent signal <span class="math">\(A_L\)</span>.</li>
<li><strong>b</strong> (<em>numeric</em>) – Opponent signal <span class="math">\(B_L\)</span>.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.XYZ_to_LLAB">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">XYZ_to_LLAB</tt><big>(</big><em>XYZ</em>, <em>XYZ_0</em>, <em>Y_b</em>, <em>L</em>, <em>surround=LLAB_InductionFactors(D=1</em>, <em>F_S=3</em>, <em>F_L=1</em>, <em>F_C=1)</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#XYZ_to_LLAB"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.XYZ_to_LLAB" title="Permalink to this definition">¶</a></dt>
<dd><p>Computes the LLAB(l:c) colour appearance model correlates.</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>XYZ</strong> (<em>array_like, (3,)</em>) – <em>CIE XYZ</em> colourspace matrix of test sample / stimulus in domain
[0, 100].</li>
<li><strong>XYZ_0</strong> (<em>array_like, (3,)</em>) – <em>CIE XYZ</em> colourspace matrix of reference white in domain [0, 100].</li>
<li><strong>Y_b</strong> (<em>numeric</em>) – Luminance factor of the background in <span class="math">\(cd/m^2\)</span>.</li>
<li><strong>L</strong> (<em>numeric</em>) – Absolute luminance <span class="math">\(L\)</span> of reference white in <span class="math">\(cd/m^2\)</span>.</li>
<li><strong>surround</strong> (<em>LLAB_InductionFactors, optional</em>) – Surround viewing conditions induction factors.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">LLAB(l:c) colour appearance model specification.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">LLAB_Specification</p>
</td>
</tr>
</tbody>
</table>
<div class="admonition warning">
<p class="first admonition-title">Warning</p>
<p class="last">The output domain of that definition is non standard!</p>
</div>
<p class="rubric">Notes</p>
<ul class="simple">
<li>Input <em>CIE XYZ</em> colourspace matrix is in domain [0, 100].</li>
<li>Input <em>CIE XYZ_0</em> colourspace matrix is in domain [0, 100].</li>
</ul>
<p class="rubric">Examples</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">XYZ</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="mf">19.01</span><span class="p">,</span> <span class="mi">20</span><span class="p">,</span> <span class="mf">21.78</span><span class="p">])</span>
<span class="gp">>>> </span><span class="n">XYZ_0</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="mf">95.05</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="mf">108.88</span><span class="p">])</span>
<span class="gp">>>> </span><span class="n">Y_b</span> <span class="o">=</span> <span class="mf">20.0</span>
<span class="gp">>>> </span><span class="n">L</span> <span class="o">=</span> <span class="mf">318.31</span>
<span class="gp">>>> </span><span class="n">surround</span> <span class="o">=</span> <span class="n">LLAB_VIEWING_CONDITIONS</span><span class="p">[</span><span class="s">'ref_average_4_minus'</span><span class="p">]</span>
<span class="gp">>>> </span><span class="n">XYZ_to_LLAB</span><span class="p">(</span><span class="n">XYZ</span><span class="p">,</span> <span class="n">XYZ_0</span><span class="p">,</span> <span class="n">Y_b</span><span class="p">,</span> <span class="n">L</span><span class="p">,</span> <span class="n">surround</span><span class="p">)</span>
<span class="go">LLAB_Specification(J=37.3668650..., C=0.0089496..., h=270.0, s=0.0002395..., M=0.0190185..., HC=None, a=-3.4936555..., b=-0.0190185...)</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.XYZ_to_RGB_LLAB">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">XYZ_to_RGB_LLAB</tt><big>(</big><em>XYZ</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#XYZ_to_RGB_LLAB"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.XYZ_to_RGB_LLAB" title="Permalink to this definition">¶</a></dt>
<dd><p>Converts from <em>CIE XYZ</em> colourspace to normalised cone responses.</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"><strong>XYZ</strong> (<em>array_like, (3,)</em>) – <em>CIE XYZ</em> colourspace matrix.</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">Normalised cone responses.</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">ndarray, (3,)</td>
</tr>
</tbody>
</table>
<p class="rubric">Examples</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">XYZ</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="mf">19.01</span><span class="p">,</span> <span class="mi">20</span><span class="p">,</span> <span class="mf">21.78</span><span class="p">])</span>
<span class="gp">>>> </span><span class="n">XYZ_to_RGB_LLAB</span><span class="p">(</span><span class="n">XYZ</span><span class="p">)</span>
<span class="go">array([ 0.9414279..., 1.0404012..., 1.0897088...])</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.chromatic_adaptation">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">chromatic_adaptation</tt><big>(</big><em>RGB</em>, <em>RGB_0</em>, <em>RGB_0r</em>, <em>Y</em>, <em>D=1</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#chromatic_adaptation"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.chromatic_adaptation" title="Permalink to this definition">¶</a></dt>
<dd><p>Applies chromatic adaptation to given <em>RGB</em> normalised cone responses
matrix.</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>RGB</strong> (<em>array_like, (3,)</em>) – <em>RGB</em> normalised cone responses matrix of test sample / stimulus.</li>
<li><strong>RGB_0</strong> (<em>array_like, (3,)</em>) – <em>RGB</em> normalised cone responses matrix of reference white.</li>
<li><strong>RGB_0r</strong> (<em>array_like, (3,)</em>) – <em>RGB</em> normalised cone responses matrix of reference illuminant
<em>CIE Standard Illuminant D Series</em> <em>D65</em>.</li>
<li><strong>Y</strong> (<em>numeric</em>) – Tristimulus values <span class="math">\(Y\)</span> of the stimulus.</li>
<li><strong>D</strong> (<em>numeric, optional</em>) – <em>Discounting-the-Illuminant</em> factor in domain [0, 1].</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Adapted <em>CIE XYZ</em> colourspace 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,)</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">RGB</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="mf">0.94142795</span><span class="p">,</span> <span class="mf">1.0404012</span><span class="p">,</span> <span class="mf">1.08970885</span><span class="p">])</span>
<span class="gp">>>> </span><span class="n">RGB_0</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="mf">0.94146023</span><span class="p">,</span> <span class="mf">1.04039386</span><span class="p">,</span> <span class="mf">1.08950293</span><span class="p">])</span>
<span class="gp">>>> </span><span class="n">RGB_0r</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="mf">0.94146023</span><span class="p">,</span> <span class="mf">1.04039386</span><span class="p">,</span> <span class="mf">1.08950293</span><span class="p">])</span>
<span class="gp">>>> </span><span class="n">Y</span> <span class="o">=</span> <span class="mf">20.0</span>
<span class="gp">>>> </span><span class="n">chromatic_adaptation</span><span class="p">(</span><span class="n">RGB</span><span class="p">,</span> <span class="n">RGB_0</span><span class="p">,</span> <span class="n">RGB_0r</span><span class="p">,</span> <span class="n">Y</span><span class="p">)</span>
<span class="go">array([ 19.01, 20. , 21.78])</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.f">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">f</tt><big>(</big><em>x</em>, <em>F_S</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#f"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.f" title="Permalink to this definition">¶</a></dt>
<dd><p>Defines the nonlinear response function of the LLAB(l:c) colour
appearance model used to model the nonlinear behavior of various visual
responses.</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>x</strong> (<em>numeric or array_like</em>) – Visual response variable <span class="math">\(x\)</span>.</li>
<li><strong>F_S</strong> (<em>numeric</em>) – Surround induction factor <span class="math">\(F_S\)</span>.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Modeled visual response variable <span class="math">\(x\)</span>.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">numeric or array_like</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">x</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="mf">0.23350512</span><span class="p">,</span> <span class="mf">0.23351103</span><span class="p">,</span> <span class="mf">0.23355179</span><span class="p">])</span>
<span class="gp">>>> </span><span class="n">f</span><span class="p">(</span><span class="mf">0.20000918623399996</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>
<span class="go">array(0.5848125...)</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.opponent_colour_dimensions">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">opponent_colour_dimensions</tt><big>(</big><em>XYZ</em>, <em>Y_b</em>, <em>F_S</em>, <em>F_L</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#opponent_colour_dimensions"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.opponent_colour_dimensions" title="Permalink to this definition">¶</a></dt>
<dd><p>Returns opponent colour dimensions from given adapted <em>CIE XYZ</em> colourspace
matrix.</p>
<p>The opponent colour dimensions are based on a modified <em>CIE Lab</em>
colourspace formulae.</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>XYZ</strong> (<em>array_like, (3,)</em>) – Adapted <em>CIE XYZ</em> colourspace matrix.</li>
<li><strong>Y_b</strong> (<em>numeric</em>) – Luminance factor of the background in <span class="math">\(cd/m^2\)</span>.</li>
<li><strong>F_S</strong> (<em>numeric</em>) – Surround induction factor <span class="math">\(F_S\)</span>.</li>
<li><strong>F_L</strong> (<em>numeric</em>) – Lightness induction factor <span class="math">\(F_L\)</span>.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Opponent colour dimensions.</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,)</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">XYZ</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="mf">19.00999572</span><span class="p">,</span> <span class="mf">20.00091862</span><span class="p">,</span> <span class="mf">21.77993863</span><span class="p">])</span>
<span class="gp">>>> </span><span class="n">Y_b</span> <span class="o">=</span> <span class="mf">20.0</span>
<span class="gp">>>> </span><span class="n">F_S</span> <span class="o">=</span> <span class="mf">3.0</span>
<span class="gp">>>> </span><span class="n">F_L</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="gp">>>> </span><span class="n">opponent_colour_dimensions</span><span class="p">(</span><span class="n">XYZ</span><span class="p">,</span> <span class="n">Y_b</span><span class="p">,</span> <span class="n">F_S</span><span class="p">,</span> <span class="n">F_L</span><span class="p">)</span>
<span class="go">array([ 3.7368047...e+01, -4.4986443...e-03, -5.2604647...e-03])</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.hue_angle">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">hue_angle</tt><big>(</big><em>a</em>, <em>b</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#hue_angle"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.hue_angle" title="Permalink to this definition">¶</a></dt>
<dd><p>Returns the <em>hue</em> angle <span class="math">\(h_L\)</span> in degrees.</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>a</strong> (<em>numeric</em>) – Opponent colour dimension <span class="math">\(a\)</span>.</li>
<li><strong>b</strong> (<em>numeric</em>) – Opponent colour dimension <span class="math">\(b\)</span>.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first"><em>Hue</em> angle <span class="math">\(h_L\)</span> in degrees.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">numeric</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">hue_angle</span><span class="p">(</span><span class="o">-</span><span class="mf">4.49864756e-03</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.26046353e-03</span><span class="p">)</span>
<span class="go">229.4635727...</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.chroma_correlate">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">chroma_correlate</tt><big>(</big><em>a</em>, <em>b</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#chroma_correlate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.chroma_correlate" title="Permalink to this definition">¶</a></dt>
<dd><p>Returns the correlate of <em>chroma</em> <span class="math">\(Ch_L\)</span>.</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>a</strong> (<em>numeric</em>) – Opponent colour dimension <span class="math">\(a\)</span>.</li>
<li><strong>b</strong> (<em>numeric</em>) – Opponent colour dimension <span class="math">\(b\)</span>.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Correlate of <em>chroma</em> <span class="math">\(Ch_L\)</span>.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">numeric</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">a</span> <span class="o">=</span> <span class="o">-</span><span class="mf">4.49864756e-03</span>
<span class="gp">>>> </span><span class="n">b</span> <span class="o">=</span> <span class="o">-</span><span class="mf">5.26046353e-03</span>
<span class="gp">>>> </span><span class="n">chroma_correlate</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span>
<span class="go">0.0086506...</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.colourfulness_correlate">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">colourfulness_correlate</tt><big>(</big><em>L</em>, <em>L_L</em>, <em>Ch_L</em>, <em>F_C</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#colourfulness_correlate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.colourfulness_correlate" title="Permalink to this definition">¶</a></dt>
<dd><p>Returns the correlate of <em>colourfulness</em> <span class="math">\(C_L\)</span>.</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>L</strong> (<em>numeric</em>) – Absolute luminance <span class="math">\(L\)</span> of reference white in <span class="math">\(cd/m^2\)</span>.</li>
<li><strong>L_L</strong> (<em>numeric</em>) – Correlate of <em>Lightness</em> <span class="math">\(L_L\)</span>.</li>
<li><strong>Ch_L</strong> (<em>numeric</em>) – Correlate of <em>chroma</em> <span class="math">\(Ch_L\)</span>.</li>
<li><strong>F_C</strong> (<em>numeric</em>) – Chroma induction factor <span class="math">\(F_C\)</span>.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Correlate of <em>colourfulness</em> <span class="math">\(C_L\)</span>.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">numeric</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">L</span> <span class="o">=</span> <span class="mf">318.31</span>
<span class="gp">>>> </span><span class="n">L_L</span> <span class="o">=</span> <span class="mf">37.368047493928195</span>
<span class="gp">>>> </span><span class="n">Ch_L</span> <span class="o">=</span> <span class="mf">0.0086506620517144972</span>
<span class="gp">>>> </span><span class="n">F_C</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="gp">>>> </span><span class="n">colourfulness_correlate</span><span class="p">(</span><span class="n">L</span><span class="p">,</span> <span class="n">L_L</span><span class="p">,</span> <span class="n">Ch_L</span><span class="p">,</span> <span class="n">F_C</span><span class="p">)</span>
<span class="go">0.0183832...</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.saturation_correlate">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">saturation_correlate</tt><big>(</big><em>Ch_L</em>, <em>L_L</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#saturation_correlate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.saturation_correlate" title="Permalink to this definition">¶</a></dt>
<dd><p>Returns the correlate of <em>saturation</em> <span class="math">\(S_L\)</span>.</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>Ch_L</strong> (<em>numeric</em>) – Correlate of <em>chroma</em> <span class="math">\(Ch_L\)</span>.</li>
<li><strong>L_L</strong> (<em>numeric</em>) – Correlate of <em>Lightness</em> <span class="math">\(L_L\)</span>.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Correlate of <em>saturation</em> <span class="math">\(S_L\)</span>.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">numeric</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">Ch_L</span> <span class="o">=</span> <span class="mf">0.0086506620517144972</span>
<span class="gp">>>> </span><span class="n">L_L</span> <span class="o">=</span> <span class="mf">37.368047493928195</span>
<span class="gp">>>> </span><span class="n">saturation_correlate</span><span class="p">(</span><span class="n">Ch_L</span><span class="p">,</span> <span class="n">L_L</span><span class="p">)</span>
<span class="go">0.0002314...</span>
</pre></div>
</div>
</dd></dl>
<dl class="function">
<dt id="colour.appearance.llab.final_opponent_signals">
<tt class="descclassname">colour.appearance.llab.</tt><tt class="descname">final_opponent_signals</tt><big>(</big><em>C_L</em>, <em>h_L</em><big>)</big><a class="reference internal" href="_modules/colour/appearance/llab.html#final_opponent_signals"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#colour.appearance.llab.final_opponent_signals" title="Permalink to this definition">¶</a></dt>
<dd><p>Returns the final opponent signals <span class="math">\(A_L\)</span> and <span class="math">\(B_L\)</span>.</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>C_L</strong> (<em>numeric</em>) – Correlate of <em>colourfulness</em> <span class="math">\(C_L\)</span>.</li>
<li><strong>h_L</strong> (<em>numeric</em>) – Correlate of <em>hue</em> <span class="math">\(h_L\)</span> in radians.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Final opponent signals <span class="math">\(A_L\)</span> and <span class="math">\(B_L\)</span>.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">tuple</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">C_L</span> <span class="o">=</span> <span class="mf">0.0183832899143</span>
<span class="gp">>>> </span><span class="n">h_L</span> <span class="o">=</span> <span class="mf">4.004894857014253</span>
<span class="gp">>>> </span><span class="n">final_opponent_signals</span><span class="p">(</span><span class="n">C_L</span><span class="p">,</span> <span class="n">h_L</span><span class="p">)</span>
<span class="go">(-0.0119478..., -0.0139711...)</span>
</pre></div>
</div>
</dd></dl>
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