06. CIE standards - 2011

# 06. CIE standards - 2011 - ECE 638 Principles of Digital...

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ECE 638: Principles of Digital Color Imaging Systems Lecture 6: CIE Standards

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Synopsis Brief review of primaries Chromaticity diagram for primaries Overview of CIE Photometry and relative luminous efficiency function CIE 1931 standard observer RGB form XYZ form
Review: Primary mixture and sensor response R P = P ( λ ) Q R ( λ )d λ G P = P ( λ ) Q G ( λ )d λ B P = P ( λ ) Q B ( λ )d λ P ( λ ) = p R P R ( λ ) + p G P G ( λ ) + p B P B ( λ ) C P = R P G P B P , p = p R p G p B A = a ij , a ij = P j ( λ ) Q i ( λ )d λ , i , j = R , G , B C P = A p

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Review: Match equation Response to test stimulus Match amounts of primaries R T = T ( λ ) Q R ( λ )d λ G T = T ( λ ) Q G ( λ )d λ B T = T ( λ ) Q B ( λ )d λ C T = R T G T B T p = A 1 C T
Review: Color matching functions Given primaries , let denote the amount of these primaries required to match the stimulus for each fixed wavelength . Thus, we have where , the matrix is given as before, and Combining these results, we obtain P R ( λ ), P G ( λ ), P B ( λ ) [ ] r ( μ ), g ( μ ), b ( μ ) [ ] δ ( λ μ ) μ A 1 r ( μ ) g ( μ ) b ( μ ) = A 1 Q R ( μ ) Q G ( μ ) Q B ( μ ) p = A 1 C T p = r ( μ ), g ( μ ), b ( μ ) T C T = Q R ( μ ), Q G ( μ ), Q B ( μ ) [ ] T

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Review: Computation of match amounts for an arbitrary stimulus Consider arbitrary stimulus Match amounts are given by This looks like a sensor T ( λ ) p RGB T = p R T p G T p B T = T ( μ ) r ( μ )d μ T ( μ ) g ( μ )d μ T ( μ ) b ( μ )d μ
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