Contrast resolution with a logarithmic imaging sensor
Compute the relative brightness resolution Δg’/g’ caused by digitalization (Δg’ = 1) of an image sensor with a logarithmic response of the form g’ = 
+ 
log g and a contrast range of six decades for 8 and 10 bit resolution. The minimum gray value g is mapped to g’ = 0 and the 1106 times higher maximum gray value to either g’= 255 or g’ = 1023.