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'''Problem 2. ''' (50 pts) | '''Problem 2. ''' (50 pts) | ||
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| + | Let '''<span class="texhtml">''r''<sub>0</sub>(λ), <span class="texhtml">''g''<sub>0</sub>(λ)</span></span>''' , <span style="line-height: 19.9200000762939px;">and </span>''b''<sub style="font-family: serif; line-height: 1.5em;">0</sub><span style="font-family: serif; line-height: 1.5em;">(λ)</span><span style="line-height: 19.9200000762939px;"> be the CIE color matching functions for red, green, and blue primaries at 700 nm, 546.1 nm, and 435.8 nm, respectively, and let <math>[r, g, b]</math> be the corresponding CIE tristimulus values. </span> | ||
| + | |||
| + | Furthermore, let <math>f_1(\lambda)</math>, <math>f_2(\lambda)</math>, and <math>f_3(\lambda)</math> be the spectral response functions for the three color outputs of a color camera. So for each pixel of the camera sensor, there is a 3-dimensional output vector given by <math>F=[F_1, F_2, F_3]^t</math>, where | ||
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Let '''<span class="texhtml">''r''<sub>0</sub>(λ), <span class="texhtml">''g''<sub>0</sub>(λ)</span></span>''' , and <span class="texhtml">''b''<sub>0</sub>(λ),</span><br> | Let '''<span class="texhtml">''r''<sub>0</sub>(λ), <span class="texhtml">''g''<sub>0</sub>(λ)</span></span>''' , and <span class="texhtml">''b''<sub>0</sub>(λ),</span><br> | ||
[[Category:ECE]] [[Category:QE]] [[Category:CNSIP]] [[Category:Problem_solving]] [[Category:Image_processing]] | [[Category:ECE]] [[Category:QE]] [[Category:CNSIP]] [[Category:Problem_solving]] [[Category:Image_processing]] | ||
Revision as of 18:17, 10 November 2014
Communication, Networking, Signal and Image Processing (CS)
Question 5: Image Processing
August 2013
Question
Problem 1. (50 pts)
Problem 2. (50 pts)
Let r0(λ), g0(λ) , and b0(λ) be the CIE color matching functions for red, green, and blue primaries at 700 nm, 546.1 nm, and 435.8 nm, respectively, and let $ [r, g, b] $ be the corresponding CIE tristimulus values.
Furthermore, let $ f_1(\lambda) $, $ f_2(\lambda) $, and $ f_3(\lambda) $ be the spectral response functions for the three color outputs of a color camera. So for each pixel of the camera sensor, there is a 3-dimensional output vector given by $ F=[F_1, F_2, F_3]^t $, where
Let r0(λ), g0(λ) , and b0(λ),
