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IRIS RECOGNITION BASED ON HILBERT–HUANG TRANSFORM 1 ...

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632 Z.Yang,Z.Yang&L.Yang<br />

Main Frequency Center<br />

0.07<br />

0.06<br />

0.05<br />

0.04<br />

0.03<br />

(a) (b) (c)<br />

0 20 40 60 80<br />

Orientation<br />

100 120 140 160<br />

(d)<br />

Fig. 8. (a)–(c) are three samples of the same iris; (d) their main frequency centers of 18 orientations<br />

in I1.<br />

Step 1: Calculate the main frequency centers and energies of 18 orientations of<br />

I1 to form the main frequency vector, f1, by the following six steps.<br />

(1) Let i =1.<br />

(2) Generate 16 signals along orientation di as described in Fig. 7 to form<br />

the signal set, denoted by X.<br />

(3) Calculate the average Hilbert marginal spectrum of X.<br />

(4) Calculate the main frequency center fC(I1(di)) and its corresponding<br />

energy e(I1(di)) of X.<br />

(5) Let i = i +1, if i ≤ 18, then go back to (2); otherwise go to (6).<br />

(6) Obtain the main frequency vector f1 as follows<br />

f1 =(fC(I1(0)),...,fC(I1(170)),e(I1(0)),...,e(I1(170))).<br />

(a)<br />

(b)<br />

(c)

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