ECE-QE CS5-2013 - Rhea

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),