Editing Color rendering index (section)

===Chromatic adaptation===
[[File:CIE CRI TCS under FL4.svg|thumb|Chromatic adaptation of TCSs lit by CIE FL4 (short, black vectors, to indicate before and after) to a [[black body]] of 2940 K (cyan circles)]]

{{harvtxt|CIE|1995}} uses this von Kries chromatic transform equation to find the [[corresponding color]] (''u''<sub>''c'',''i''</sub>,&nbsp;''v''<sub>''c'',''i''</sub>) for each sample. The mixed subscripts (''t'',&nbsp;''i'') refer to the [[inner product]] of the test illuminant spectrum and the spectral reflexivity of sample ''i'':

<math display="block">u_{c,i} = \frac{10.872 + 0.404 (c_r/c_t) c_{t,i} - 4 (d_r/d_t) d_{t,i}}{16.518 + 1.481 (c_r/c_t) c_{t,i} - (d_r/d_t) d_{t,i}},</math>

<math display="block">v_{c,i} = \frac{5.520}{16.518 + 1.481 (c_r/c_t) c_{t,i} - (d_r/d_t) d_{t,i}},</math>

<math display="block">c = (4.0 - u - 10.0 v) / v,</math>

<math display="block">d = (1.708 v - 1.481 u + 0.404) / v,</math>

where subscripts ''r'' and ''t'' refer to reference and test light sources respectively.