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'''Problem 2. ''' (50 pts) | '''Problem 2. ''' (50 pts) | ||
| − | 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 < | + | 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 <span class="texhtml">[''r'',''g'',''b'']</span> be the corresponding CIE tristimulus values. </span> |
| − | Furthermore, let < | + | Furthermore, let <span class="texhtml">''f''<sub>1</sub>(λ)</span>, <span class="texhtml">''f''<sub>2</sub>(λ)</span>, and <span class="texhtml">''f''<sub>3</sub>(λ)</span> 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 <span class="texhtml">''F'' = [''F''<sub>1</sub>,''F''<sub>2</sub>,''F''<sub>3</sub>]<sup>''t''</sup></span>, where |
| + | <math>F_1 = \int_(-\infty)^(\infty)</math> | ||
| − | + | [[Category:ECE]]<span style="line-height: 1.5em;"> </span>[[Category:QE]]<span style="line-height: 1.5em;"> </span>[[Category:CNSIP]]<span style="line-height: 1.5em;"> </span>[[Category:Problem_solving]]<span style="line-height: 1.5em;"> </span>[[Category:Image_processing]] | |
| − | + | ||
| − | [[Category: | + | |
Revision as of 18:19, 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 f1(λ), f2(λ), and f3(λ) 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 = [F1,F2,F3]t, where
$ F_1 = \int_(-\infty)^(\infty) $
