| Line 13: | Line 13: | ||
===Solution 1:=== | ===Solution 1:=== | ||
| − | a) If the color matching functions <math> f_k(\lambda) </math> has negative values, it will result in negative values in <math> F_k </math>. In this case, the color can not be reproduced | + | a) If the color matching functions <math> f_k(\lambda) </math> has negative values, it will result in negative values in <math> F_k </math>. In this case, the color can not be reproduced by this device. |
| + | |||
| + | b) The CIE color matching functions are not always positive. <math> r_0(\lambda) </math> takes negative values. This is the case because, to match some reference color that is too saturated, colors have to be deducted from the <math> R, G, </math> and <math> B</math> primaries to match the color. This results in negative values in r, g, and b. So the color matching functions at the corresponding wavelength have negative values. | ||
Revision as of 19:51, 10 November 2014
ECE Ph.D. Qualifying Exam in Communication Networks Signal and Image processing (CS)
Question 5, August 2013, Part 2
part1, part 2
Solution 1:
a) If the color matching functions $ f_k(\lambda) $ has negative values, it will result in negative values in $ F_k $. In this case, the color can not be reproduced by this device.
b) The CIE color matching functions are not always positive. $ r_0(\lambda) $ takes negative values. This is the case because, to match some reference color that is too saturated, colors have to be deducted from the $ R, G, $ and $ B $ primaries to match the color. This results in negative values in r, g, and b. So the color matching functions at the corresponding wavelength have negative values.
