<Dd> ∫ 0 ∞ r _̄ (λ) d λ = ∫ 0 ∞ g _̄ (λ) d λ = ∫ 0 ∞ b _̄ (λ) d λ . (\ displaystyle \ int _ (0) ^ (\ infty) (\ overline (r)) (\ lambda) \, d \ lambda = \ int _ (0) ^ (\ infty) (\ overline (g)) (\ lambda) \, d \ lambda = \ int _ (0) ^ (\ infty) (\ overline (b)) (\ lambda) \, d \ lambda .) </Dd> <P> The resulting normalized color matching functions are then scaled in the r: g: b ratio of 1: 4.5907: 0.0601 for source luminance and 72.0962: 1.3791: 1 for source radiance to reproduce the true color matching functions . By proposing that the primaries be standardized, the CIE established an international system of objective color notation . </P> <P> Given these scaled color matching functions, the RGB tristimulus values for a color with a spectral power distribution S (λ) (\ displaystyle S (\ lambda)) would then be given by: </P> <Dl> <Dd> R = ∫ 0 ∞ S (λ) r _̄ (λ) d λ, (\ displaystyle R = \ int _ (0) ^ (\ infty) S (\ lambda) \, (\ overline (r)) (\ lambda) \, d \ lambda,) </Dd> <Dd> G = ∫ 0 ∞ S (λ) g _̄ (λ) d λ, (\ displaystyle G = \ int _ (0) ^ (\ infty) S (\ lambda) \, (\ overline (g)) (\ lambda) \, d \ lambda,) </Dd> <Dd> B = ∫ 0 ∞ S (λ) b _̄ (λ) d λ . (\ displaystyle B = \ int _ (0) ^ (\ infty) S (\ lambda) \, (\ overline (b)) (\ lambda) \, d \ lambda .) </Dd> </Dl>

5. draw the cie chromaticity diagram and explain how it is useful in calculating the wavelengths