Final Equations for Conversion – 𝔠𝔥𝔯𝔬𝔪𝔞𝔱𝔦𝔮

After all our hard work, here are our finalised equations for our paint colour conversions!

R = Red, Y = Yellow, B = Blue, W = White, K = Black, P=R+Y+B

Hue

x = hue

R = 0.9800484 - 0.0290976*x + 0.0002711622*x^2 - 0.000001019512*x^3 + 1.406501e-9*x^4 - 1.244973e-13*x^5 

R = 0 from hue = 60 to 210

Y = -0.02427828 + 0.03936632*x - 0.0004882989*x^2 + 0.000002157361*x^3 - 3.970173e-9*x^4 + 2.504904e-12*x^5 

Y = 0 for hue = 0, 180 to 360

C = -0.02232353 + 0.009091826*x - 0.000285473*x^2 + 0.000002895511*x^3 - 1.052002e-8*x^4 + 1.246672e-11*x^5 

C = 0 for hue = 0 to 60, 360

W = 0.07213575 - 0.0196562*x + 0.0004931235*x^2 - 0.000003905536*x^3 + 1.25973e-8*x^4 - 1.42617e-11*x^5     

W = 0 for hue = 0 to 90, 210, 360

x = saturation

P = -2.775558e-16 + 0.002545833*x - 0.0002109792*x^2 + 0.000006959375*x^3 - 8.505208e-8*x^4 + 4.401042e-10*x^5

W = 1 - 0.005045833*x + 0.0003713958*x^2 - 0.00001065729*x^3 + 1.215104e-7*x^4 - 5.703125e-10*x^5

x = value

P = -4.440892e-15 + 0.07071458*x - 0.002772094*x^2 + 0.00005459219*x^3 - 5.082031e-7*x^4 + 1.78776e-9*x^5

K = 1 - 0.07040625*x + 0.002741198*x^2 - 0.00005360833*x^3 + 4.960677e-7*x^4 - 1.736979e-9*x^5