This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ECE 638: Principles of Digital Color Imaging Systems Lecture 6: CIE Standards 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 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 Review: Computation of match amounts for an arbitrary stimulus Consider arbitrary stimulus Match amounts are given by This looks like a sensor T ( λ...
View
Full
Document
This note was uploaded on 02/19/2012 for the course ECE 638 taught by Professor Staff during the Fall '08 term at Purdue.
 Fall '08
 Staff

Click to edit the document details