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Scarica gli atti - Gruppo del Colore

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covered is computed as the difference between the sum of the area coverage of the<br />

inks and their overprints, with the constraint to be positive:<br />

56<br />

15<br />

∑<br />

p=<br />

a = 1 − a<br />

(4)<br />

0<br />

1<br />

p<br />

To effectively tune the mo<strong>del</strong>, the training set must be customized to employ all the<br />

parameters. At the same time we want to have as few color patches to print and<br />

measure for printer characterization as possible. The training set consists therefore<br />

of ramps of eleven patches, ranging from the absence of ink to full ink coverage of<br />

cyan, magenta, yellow, red, green, blue, black, cyan with black, magenta with<br />

black, yellow with black, red with black, green with black and blue with black, for<br />

a total of 143 samples.<br />

Tab. 2 – Dot gain parameters for computing effective ink concentration using Equation 4<br />

Index Neugebauer<br />

Dot gain parameters<br />

(p) primary<br />

1 K Cck, λ Mmk, λ Yyk, λ Kk, λ<br />

2 Y Ccy, λ Mmy, λ Yy, λ Kky, λ<br />

3 YK Ccyk, λ Mmyk, λ Yyk, λ Kky, λ<br />

4 M Ccm, λ Mm, λ Yym, λ Kkm, λ<br />

5 MK Ccmk, λ Mmk, λ Yymk, λ Kkm, λ<br />

6 R Ccmy, λ Mmy, λ Yym, λ Kkmy, λ<br />

7 RK Ccmyk, λ Mmyk, λ Yymk, λ Kkmy, λ<br />

8 C Cc, λ Mmc, λ Yyc, λ Kkc, λ<br />

9 CK Cck, λ Mmck, λ Yyck, λ Kkc, λ<br />

10 G Ccy, λ Mcmy, λ Yyc, λ Kkcy, λ<br />

11 GK Ccyk, λ Mcmyk, λ Yyck, λ Kkcy, λ<br />

12 B Ccm, λ Mmc, λ Ycmy, λ Kkcm, λ<br />

13 BK Ccmk, λ Mmck, λ Ycmyk, λ Kkcm, λ<br />

14 CMY Ccmy, λ Mcmy, λ Ycmy, λ Kcmyk, λ<br />

15 CMYK Ccmyk, λ Mcmyk, λ Ycmyk, λ Kcmyk, λ<br />

3. The Genetic Algorithm<br />

A genetic algorithm is used to estimate the printer mo<strong>del</strong> parameters described<br />

above. The choice of the representation of candidate solutions (individuals) and the<br />

fitness function used to evaluate individuals are crucial factors in the effectiveness<br />

of this genetic approach.<br />

The genetic material, called the genome, of each individual must consist of the<br />

minimum amount of data required to represent a solution to the problem.<br />

Here the genome is an array of real numbers. In the printer mo<strong>del</strong> we have<br />

introduced:

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