Metamerism (vector-matrix representation of color perception)

nao113 · Jun 21, 2022

For the illuminant A

Typeset matrix equations: F_A1 = F_A2, then CE_A r_1 = CE_A r_2, then a block matrix product C(λ) times diagonal E_A(λ) times vector r_1(λ), equal to the same product with r_2(λ).

for the illuminant B

Handwritten-style equations in matrix form: F_B1 ≠ F_B2 and CE_B r1 ≠ CE_B r2, followed by a 3×N matrix C times a diagonal block matrix of E_B(λ) terms times a column vector r1(λ), equated to ≠ the same form using r2.

Did I got them correct? Thank you

haruspex · Jun 23, 2022

nao113 said:

Homework Statement:: I want to explain metamerism by using vector-matrix representation of color perception. So, here, there are 2 conditions where the both objects produce the same color with illuminant spectrum A, and the both objects produce the different color with illuminant spectrum B
Relevant Equations:: in the picture below

For the illuminant A

View attachment 303155
for the illuminant B
View attachment 303156
Did I got them correct? Thank you

You are much more likely to get help with this if you take the trouble to define the variables and functions. If they’re standard within the topic, perhaps you can provide a link.

Metamerism (vector-matrix representation of color perception)

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