2006 Indexed Fuzzy Vault 3ADM1117 3ADM3225
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- きゅうた すみだ
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1 2006 Indexed Fuzzy Vault 3ADM1117 3ADM3225
2 1 1 2 Fuzzy Vault Scheme Reed-Solomon Indexed Fuzzy Vault ( ) ( ) i
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4 1 Juels Fuzzy Vault Scheme [1] Fuzzy Vault Scheme Fuzzy Vault Scheme RS RS Uludag [2] [3] 4.6 Fuzzy Vault Scheme RS Juels Fuzzy Vault Scheme 1
5 2 Fuzzy Vault Scheme 2.1 Fuzzy Vault Scheme s A ( ) ( ) A B A B s Fuzzy Vault Scheme Vault R [1] r Vault R t ( ) µ > 0 ( ) µ r t 3 qk t t ( ) q = 10 4 t = s A = {a 1, a 2,..., a n } s p A {a 1,..., a n } (x i, y i ) = (a i, p(a i )) p(0) = s i = n + 1,..., r A y i p(x i ) (x i, y i ) A Vault( ) R x i 2.3 A B = {b 1, b 2, b 3,..., b n } Vault R b i x j (b i, y j ) Q A B Q s 2
6 3 ( ) 3.1 Reed-Solomon Reed-Solomon ( RS ) ( ) CD DVD ADSL RFID QR 3
7 3.2 RS RS 2 p GF (2 p ) 2 p 2 p RS (n, k)rs n k n k t = (n k)/2 GF (x α)(x α 2 )(x α 3 ) V (x) G(x) W (x) = x 2t V (x) + R R = x 2t V (x) mod G(x) ( ) Y (x) x 2t 4
8 RS ( ) NFIS RS.java RS GF Point.java NFIS2 MINDTCT MIN MIN MainFrame.java GUI RS (31,25)RS (63,25)RS 5
9 1: 6
10 NFIS RS 7
11 2: 3: 8
12 3.3.3 NFIS : 1 3 RS 3 19 NFIS2[6] Digital Persona U.are.U4000 Digital Persona Gold SDK Java version NFIS2 U.are.U 9
13 4 Indexed Fuzzy Vault 4.1 A x y Fuzzy Vault Scheme RS A B Vault R B 4.2 ( ) ( ) ( ) Step 1. x y n A = {a 1, a 2,..., a n } Step 2. s RS p A (x i, y i ) = (a i, p(a i )) i = 1,..., n y i i Vault R = {(1, x 1.y 1 ),..., (n, x n, y n )} Step 3. i = n + 1,..., r x i A y i p(x) (x j, y j ) Vault R R = R {(i mod n, x i, y i )} Vault R R = r r/n, (r/n) 1 Step 4. Vault R 10
14 4.2.2 ( ) Vault R ( ) B = {b 1, b 2,..., b n } s Q Step 5. i = i,..., n b i R {x 1,..., x r } d(b i, x j ) = (x i x j ) 2 + (y i y j ) 2 (j, x j, y j ) d(b i, x j ) (j, x j, y j ) R Q Q = Q {(i, x j, y j )} r n Step 6. Q i RS Step 7. s 11
15 NFIS2 RS 2: Digital Persona U.are.U4000 Digital Persona Gold SDK Java version NIST NFIS2[6] NFIS2 MIN MIN MIN NFIS2 NIST Fingerprint Image Software 2 NIST 7 MINDTCT IMGTOOL NFIS2 MIN 1. U.are.U.U.are.U BMP 2. TeraTerm noisy 3. BMP JPG /usr/local/nfis/bin/cjpeg -grayscale [ BMP ] [ JPG ] NFIS 12
16 /usr/local/nfis/bin/ 4. MIN /usr/local/nfis/bin/mindtct [ JPG ] [ ] mindtct ( ).brw.min /usr/local/nfis/bin/mindtct finger.jpg finger finger.brw RAW finger.min ( ) MIN 1 1 MN MX MY DIR REL TYP FTYP FN NX1 NY1 RC1:... MN MX X MY Y DIR REL TYP BIF RIG /home/share/biometrics/nfis2/doc/nfis2.pdf 13
17 t r/n r/n t 2 (FAR) (FRR) 50 FRR FAR i = 1,..., n r/n 1 4 r = n t 5 t = 6 r/n 6 FAR FRR FAR FRR probability error correcting t [block] 4: t 14
18 0.4 FAR FRR probability chaff ratio ( = r / n) 5: r/n FRR FAR 6: FAR FRR 15
19 5.2.2 U.are.U 4000 DigitalPersona SDK U.are.U 5 FAR FRR U.are.U 3: FAR( ) FRR( ) A B C D E F G H I J / /500 16
20 4: FAR( ) FRR( ) : Indexed Fuzzy Vault FAR( ) FRR( ) Indexed Fuzzy Vault U.are.U U.are.U GF 7 t[block] 8 Uludag [2] Uludag n ( 22 n ) T [ms] T ( n t ) y = αe βx α β. Uludag 17
21 GF(2^9) GF(2^10) GF(2^11) 2500 processing time [ms] error correcting t [block] 7: t 1e+006 proposal method Uludag s method processing time [ms] error correcting t [block] 8: Uludag [2] 18
22 5.2.4 n r t (FAR) ( 1 ) n t r/n + 1 n = 22 r = 22 t = [3] 1 8 or Uludag x y 16 x y Uludag Uludag. 19
23 80 70 y-coordinate x-coordinate 9: 100 Oki frequency value of minutiae 10: [3] 20
24 100 Uldag frequency value of calculate minutiae 11: Uludag [2] 5.3 r/n = 1 t = 6 FAR=0 FRR= U.are.U FAR U.are.U FRR U.are.U Uludag 2 Uludag MSB 21
25 6: Uludag x y ( or ) x y 6 Fuzzy VaultScheme Indexed Fuzzy Vault FAR=0 FRR= [ms] Fuzzy Extractor 22
26 [1] A. Juels, M. Sudan, A Fuzzy Vault Scheme, International Symposium on Information Theory, p. 408, IEEE Press, Lausanne, Switzerland, [2] U. Uludag, S. Pankanti and A. Jain. Fuzzy Vault for Fingerprints, Proc. of Audio- and Video-based Biometric Person Authentication (AVBPA) 2005, pp , Rye Brook, NY, July [3] Fuzzy Biometric Vault Scheme SCIS2005 pp [4] [5] [6] NIST FINGERPRINT IMAGE SOFTWARE 2 (NFIS2), [7] Fuzzy Vault SCIS
27 24
2007 CME
2007 CME 1 1 2 2 2.1 NIST Fingerprint Image Software 2.............. 2 2.2 M(i)-tuple............................ 2 2.2.1 M(i)-tuple................... 3 2.2.2............ 4 2.3 Common Minutiae Extractor..................
2008
2008 1 1 2 2 2.1 NIST Fingerprint Image Software 2.............. 2 2.2 Reference Vector........................ 2 2.2.1.................. 2 2.2.2.................. 4 3 5 3.1............................
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Otsuma Nakano Senior High School Spring Seminar Mathematics B
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