6.10

(a) Using the RGB to L*a*b* LUT of Problem 6.9, estimate the Jacobian of the transformation at the nominal value RGB¼[120 67 145] using numerical differentiation and trilinear interpolation. The Jacobian is defined by

(b) Find the range of parameter m that guarantees convergence of the ICI algorithm that can be used to find the inverse LUT.

Transcribed Image Text:

aL*(k) aL(k) L(k) aR(K) BG(k) B(k) Jk = L*a*b*(k) ORGB(k) a*(k) da*(k) da(k) aR(K) G(k) B(k) ab(k) ab*(k) ab(k) aR(K) BG(k) B(k)