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dekuenstle authored Feb 12, 2024
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Expand Up @@ -80,8 +80,10 @@ The second measurement, after linearization, shows a linear relation between gre
![Plot of luminance per grey level](images/example_luminance.png)

#### Luminance resolution
Besides luminance linearity, we are also interested in the luminance resolution--how many different grey levels the monitor can show. A standard monitor uses 8-bit pixel data and can show up to 256 different shades of grey, while our Viewpixx in high luminance-resolution mode (*M16*) uses 16-bit data and thus up to 65.536 grey levels. In practice, the resolution is lower and can be measured by the luminance of tiny grey level differences.
The just measurable luminance difference describes our resolution; here we see 11-bit (about 2.000 grey levels) for some grey levels and even more for others. For every line, we picked a base-level $x_0$ and add tiny but increasing differences, $x_i = x_0 + 2^-i$. Then we measured the base luminance $lum(x_0)$ and luminances $lum(x_{14})$ to $lum(x_6)$. The plot shows the grey level difference $i$ againt the the luminance increase $lum(x_i) - lum(x_0)$. Linearized luminance should show line in the log-log-plot for a reasonable offset.
Besides luminance linearity, we are also interested in the luminance resolution--the minimal grey level difference that the monitor can show. A standard monitor uses 8-bit pixel data and can show up to 256 different shades of grey (we call this "8-bit resolution")
Lab monitors like the Viewpixx in high luminance-resolution mode (*M16*) can show up to $2^12$ different shades of grey, depending on monitor specs ("10-bit resolution" / "12-bit resolution"). We can verify these specs by measuring tiny increments in luminance, assuming that our photometer is accurate enough.

The figure shows such a measurement for our monitor. The minimal luminance increment depends on the absolute brightness but is about 11-bit (about 2.000 grey levels). For every line, we picked a base-level $x_0$ and added tiny but increasing differences, $x_i = x_0 + 2^{-i}$. Then we measured the base luminance $lum(x_0)$ and luminances $lum(x_{14})$ to $lum(x_6)$, as most monitors are in the range of 8 to 12 bit. The plot shows the change in luminance $lum(x_i) - lum(x_0)$ for each grey level difference $i$. If the luminance was linearized, the luminance by the level plot shows a line; the x-position where this line drops to zero indicates our luminance resolution.


![Plot of luminance difference per tiny grey level difference](images/example_resolution.png)
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