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Ongoing MINEX Report Card
Template Generator 3X
Last Updated: October 9, 2015
Note: This report card is for MINEX III compliance criteria only. Ongoing MINEX never released report cards, but instead published two tables: one for all participants and one for compliant participants. This report card shows results for an algorithm originally submitted to Ongoing MINEX being re-evaluated based on the MINEX III compliance criteria. If this report says that an algorithm has failed, it means that the algorithm did not meet the MINEX III compliance criteria and will not be included on the MINEX III Compliant Submissions list. For historical records, the old
Ongoing MINEX Compliant Submissions list is still available. Ongoing MINEX tested for compliance of NIST Special Publication 800-76-1, which was withdrawn July 2013. MINEX III tested for compliance of NIST Special Publication 800-76-2, and added additional semantic checks for compliance of ANSI/INCITS 378-2004.
3X Ongoing MINEX: Template Generator Report Card 1
Participant DetailsCompany: Wonkwang University/Nonlinear Neural Network LabDate Submitted: 10/31/2012Date Validated: 11/14/2012Date Completed: 11/19/2012
Library Size (bytes) MD5 Checksumlibminex.a 274398 96528f0b11438dc543055a13baf90601
Compliance Test ResultsThe following presents PIV compliance results per the criteria detailed in NIST Special Publication 800-76-2:Biometric Specifications for Personal Identity Verification.
PIV: FAIL• All certified matchers must be able to match templates from this template generator with an
FNMRFMR(0.01) ≤ 0.01 using two fingers (4.5.2.2-3). 7 (See Table 4)• Minutia density plots derived from generated templates do not exhibit a periodic, grid-like, or geometric
structure without reasonable justification. (Not Tested)
Notes• This report will be updated as new matching algorithms and template generators pass the compliance
test. These updates will not change the PASS/FAIL decision above.
• NIST reserves the right to decertify a template generator if it later discovers the template generator violatesPIV specifications in some previously undetected way.
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3X Ongoing MINEX: Template Generator Report Card 2
Contents
Participant Details 1
Compliance Test Results 1
Notes 1
1 Introduction 3
2 Methodology 32.1 Dataset . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32.2 Accuracy Metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32.3 Interoperability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3 Results 53.1 Single Finger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53.2 Two Finger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
4 Performance Tables 10
5 References 18
List of Figures1 MINEX Interoperability Test Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 DET (Single Finger) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 DET (Left Index) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 DET (Right Index) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 FNMR @ FMR = 0.01 (Single Finger) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 DET (Two Finger) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 FNMR @ FMR = 0.01 (Two Finger) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
List of Tables1 Single finger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 Right index finger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 Left index finger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 Two finger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
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1 IntroductionTesting is performed at a NIST facility. Each participant’s submission is validated by NIST before undergoingfull testing to ensure it operates correctly. If the matcher passes the validation procedure, it is then used to com-pare standard fingerprint templates. Performance is assessed against templates created by a template generatorsubmitted by the participant as well as templates created by other compliant template generators.
2 MethodologyTesting is performed at a NIST facility. Each participant’s submission is validated by NIST before undergo-ing full testing to ensure it operates correctly. If the template generator passes the validation procedure, per-formance is assessed by using MINEX compliant matching algorithms to compare templates created by thetemplate generator. These matchers were submitted to the ongoing MINEX program by various participants.
2.1 DatasetTesting is performed over a single dataset of sequestered fingerprint images. The images were collected by U.S.Visit at ports of entry into the United States. They consist of Live-scan plain impressions of left and right indexfingers. WSQ [1] compression was applied to all images at a ratio of 15:1. The most recent capture of eachsubject was treated as the authentication sample, and the next most recent as the enrolled sample.
The dataset was divided into 123 962 mated and 124 994 non-mated subject pairings. Since both left and rightindex fingerprints are available for each subject, this provides 247 924 mated and 249 988 nonmated single-fingercomparisons (after database consolidation). This also means that when left and right index fingers are fused atthe score level [2, 6], the sets condense to 123 962 mated and 124 994 nonmated comparison scores.
2.2 Accuracy MetricsCore matching accuracy is presented in the form of Detection Error Tradeoff (DET) plots [5], which show thetrade-off between the False Match Rate (FMR) and the False Non-Match Rate (FNMR) as a decision thresholdis adjusted. Formally, let mi (i = 1 . . .M ) be the ith mated comparison score, and nj (j = 1 . . . N ) the jthnon-mated comparison score. Then the statistics are
FMR(τ) =1
N
N∑j=1
1{nj ≥ τ}, (1)
FNMR(τ) =1
M
M∑i=1
1{mi < τ}. (2)
where 1{A} is the indicator [3] of event A. Equations 1 and 2 define the curve parametrically with the decisionthreshold, τ , as the free parameter. In some figures and tables, FNMR is presented as a function of FMR. Thisrelationship is determined by
FNMRFMR(α) = minτ
{ FNMR(τ) | FMR(τ) ≤ α }, (3)
which reads as the smallest FNMR that can be achieved while maintaining an FMR less than or equal to α, thetargeted FMR. This method of relating the two error statistics ensures FNMR is well-defined for all 0 ≤ α ≤ 1.It also imposes a natural penalty on matching algorithms that produce heavily discretized scores.
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3X Ongoing MINEX: Template Generator Report Card 4
Figure 1: MINEX Interoperability Test Setup
2.3 InteroperabilityInteroperability is tested in a manner similar to Scenario 1 from the MINEX Evaluation Report [4] (see Figure1). An enrolment template is prepared using submission X. Submission Y is used to prepare the authenticationtemplate and perform the match. The authentication template is always prepared by the same submission usedto compare the templates. However, enrolment templates need not originate from the same submission. Whenthey do, we refer to as ”native” mode.
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3 ResultsThis section details the performance of template generator 3X. Sections 3.1 and 3.2 present accuracy results forsingle finger and two finger matching respectively. Section ?? presents information on the number of minutiathe template generator finds in the samples.
3.1 Single FingerSinge finger comparison results show the combined results for left and right index comparisons. For reference,NIST Special Publication 800-76-2 requires that the template generator achieve an accuracy of FNMRFMR(0.01) ≤0.01 against all compliant matchers.
Last Updated: Sep 10, 2015
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Single FingerTemplate Generator = 3X, Num Mated = 247924, Num Nonmated = 249988
Figure 2: Single finger DET statistics for template generator 3X. Each box shows the distribution of FNMRs at a fixedFMR across different matchers. The whisker ends show the minimum and maximum FNMRs. The brown curve showsthe DET curve when the matcher and template generators were submitted by the same participant. The orange DET curveshows pooled performance when all matchers compare templates created by 3X.
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Figure 3: Right Index Finger DET statistics for template generator 3X. Each box shows the distribution of FNMRs ata fixed FMR across different matchers. The whisker ends show the minimum and maximum FNMRs. The brown curveshows the DET curve when the matcher and template generators were submitted by the same participant. The orange DETcurve shows pooled performance when all matchers use templates created by 3X.
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Left Index FingerTemplate Generator = 3X, Num Mated = 123962, Num Nonmated = 124994
Figure 4: Left Index Finger DET statistics for template generator 3X. Each box shows the distribution of FNMRs at afixed FMR across different template generators. The brown curve shows the DET curve when the matcher and templategenerators were submitted by the same participant. The orange DET curve shows pooled performance when all matchersuse templates created by 3X.
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Last Updated: Sep 10, 2015
0.1515
0.1144
0.0722
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Single FingerTemplate Generator = 3X, Num Mated = 247924, Num Nonmated = 249988
Figure 5: Single Finger FNMRs at FMR=0.0001 when MINEX compliant matchers compare templates created by tem-plate generator 3X. Each box represents uncertainty about the true FNMR. The box edges mark the 50% confidenceintervals while the whiskers mark the 90% confindence intervals. The numbers on the right show the actual computedFNMRs.
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3.2 Two FingerThis section presents accuracy when different MINEX compliant matchers compare templates created by tem-plate generator 3X. Two finger fusion is achieved by averaging the scores for left and right index fingers for eachperson.
Last Updated: Sep 10, 2015
●Conformance Requirement
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Two FingerTemplate Generator = 3X, Num Mated = 247924, Num Nonmated = 249988
Figure 6: Two Finger DET statistics for template generator 3X. Each box shows the distribution of FNMRs at a fixedFMR across different matchers. The whisker ends show the minimum and maximum FNMRs. The brown curve showsthe DET curve when the matcher and template generators were submitted by the same participant. The orange DET curveshows pooled performance when all matchers use templates created by 3X. Score-level fusion is achieved by averaging thescores for left and right index fingers.
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Two FingerTemplate Generator = 3X, Num Mated = 247924, Num Nonmated = 249988
Figure 7: Two Finger FNMR at FMR=0.01 when different matchers compare templates created by template generator3X. Each box represents uncertainty about the true FNMR. The box edges mark the 50% confidence intervals while thewhiskers mark the 90% confindence intervals. The numbers on the right show the actual computed FNMRs. Score-levelfusion is achieved by averaging the scores for left and right index fingers.
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4 Performance TablesThe following tables present accuracy numbers, including estimates of uncertainty in the form of 90% confi-dence bounds. These tables are provided because most of the figures in the main body of the report do notpresent actual accuracy numbers.
Table 1: Single finger FNMRs at various FMRs when 3X and MINEX compliant matchers comparetemplates created by template generator 3X.
Matcher FNMR @ FMR=0.01 FNMR @ FMR=0.001 FNMR @ FMR=0.0001A 0.0648± 0.0008 0.0985± 0.0010 0.151± 0.001B − − −C 0.0429± 0.0007 0.0732± 0.0009 0.114± 0.001D 0.0345± 0.0006 0.0486± 0.0007 0.0722± 0.0009F 0.0426± 0.0007 0.0726± 0.0009 0.114± 0.001G 0.0202± 0.0005 0.0347± 0.0006 0.0528± 0.00071C 0.0397± 0.0006 0.0648± 0.0008 0.0949± 0.00101E 0.0546± 0.0008 0.0804± 0.0009 0.112± 0.0011F 0.0407± 0.0007 0.0653± 0.0008 0.0916± 0.00101G 0.0407± 0.0007 0.0653± 0.0008 0.0916± 0.00101I 0.0457± 0.0007 0.0953± 0.0010 0.187± 0.0011J 0.0295± 0.0006 0.0521± 0.0007 0.0799± 0.00091L 0.0262± 0.0005 0.0413± 0.0007 0.0606± 0.00081R 0.0450± 0.0007 0.0904± 0.0009 0.170± 0.0011T 0.0379± 0.0006 0.0634± 0.0008 0.1003± 0.00101W 0.0356± 0.0006 0.0655± 0.0008 0.110± 0.0012A 0.0429± 0.0007 0.0732± 0.0009 0.114± 0.0012C 0.0413± 0.0007 0.0824± 0.0009 0.167± 0.0012G 0.0261± 0.0005 0.0485± 0.0007 0.0848± 0.00092I 0.0230± 0.0005 0.0502± 0.0007 0.111± 0.0012J 0.0402± 0.0006 0.0763± 0.0009 0.122± 0.0012N 0.0377± 0.0006 0.0635± 0.0008 0.0958± 0.00102O 0.0166± 0.0004 0.0318± 0.0006 0.0631± 0.00082Q 0.0139± 0.0004 0.0248± 0.0005 0.0382± 0.00062R 0.0496± 0.0007 0.0913± 0.0010 0.141± 0.0012S 0.0341± 0.0006 0.0566± 0.0008 0.0863± 0.00092T 0.0582± 0.0008 0.0798± 0.0009 0.113± 0.0012Y 0.0295± 0.0006 0.0469± 0.0007 0.0692± 0.00083A 0.0202± 0.0005 0.0261± 0.0005 0.0356± 0.00063D 0.0294± 0.0006 0.0474± 0.0007 0.0721± 0.00093G 0.0191± 0.0005 0.0377± 0.0006 0.0569± 0.00083J 0.0292± 0.0006 0.0429± 0.0007 0.0637± 0.00083N 0.0230± 0.0005 0.0502± 0.0007 0.105± 0.0013O 0.0311± 0.0006 0.0503± 0.0007 0.0776± 0.00093Q 0.0382± 0.0006 0.0657± 0.0008 0.0970± 0.00103T 0.0182± 0.0004 0.0311± 0.0006 0.0465± 0.00073W 0.0386± 0.0006 0.0661± 0.0008 0.0986± 0.00103Z − − −4A − − −4H − − −
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Table 1: (continued)
Matcher FNMR @ FMR=0.01 FNMR @ FMR=0.001 FNMR @ FMR=0.00014I − − −4J − − −4L − − −4O − − −4P − − −4Q − − −4S − − −4T − − −4U − − −4X − − −4Z − − −3X − − −
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Table 2: Right index finger FNMRs at various FMRs when 3X and MINEX compliant matchers com-pare templates created by template generator 3X.
Matcher FNMR @ FMR=0.01 FNMR @ FMR=0.001 FNMR @ FMR=0.0001A 0.0480± 0.0010 0.080± 0.001 0.126± 0.002B − − −C 0.0325± 0.0008 0.058± 0.001 0.097± 0.001D 0.0264± 0.0007 0.0374± 0.0009 0.054± 0.001F 0.0318± 0.0008 0.057± 0.001 0.097± 0.001G 0.0139± 0.0005 0.0239± 0.0007 0.0397± 0.00091C 0.0315± 0.0008 0.052± 0.001 0.080± 0.0011E 0.0454± 0.0010 0.067± 0.001 0.093± 0.0011F 0.0299± 0.0008 0.049± 0.001 0.072± 0.0011G 0.0299± 0.0008 0.049± 0.001 0.072± 0.0011I 0.0357± 0.0009 0.077± 0.001 0.166± 0.0021J 0.0222± 0.0007 0.0405± 0.0009 0.065± 0.0011L 0.0195± 0.0006 0.0323± 0.0008 0.0475± 0.00101R 0.0359± 0.0009 0.078± 0.001 0.146± 0.0021T 0.0297± 0.0008 0.050± 0.001 0.080± 0.0011W 0.0278± 0.0008 0.052± 0.001 0.082± 0.0012A 0.0325± 0.0008 0.058± 0.001 0.097± 0.0012C 0.0306± 0.0008 0.064± 0.001 0.149± 0.0022G 0.0183± 0.0006 0.0354± 0.0009 0.065± 0.0012I 0.0167± 0.0006 0.0392± 0.0009 0.096± 0.0012J 0.0305± 0.0008 0.061± 0.001 0.102± 0.0012N 0.0281± 0.0008 0.0477± 0.0010 0.075± 0.0012O 0.0117± 0.0005 0.0238± 0.0007 0.050± 0.0012Q 0.0095± 0.0005 0.0178± 0.0006 0.0280± 0.00082R 0.0389± 0.0009 0.073± 0.001 0.118± 0.0022S 0.0240± 0.0007 0.0410± 0.0009 0.067± 0.0012T 0.0448± 0.0010 0.063± 0.001 0.092± 0.0012Y 0.0232± 0.0007 0.0360± 0.0009 0.053± 0.0013A 0.0154± 0.0006 0.0197± 0.0006 0.0266± 0.00083D 0.0218± 0.0007 0.0355± 0.0009 0.054± 0.0013G 0.0132± 0.0005 0.0268± 0.0008 0.0431± 0.00093J 0.0227± 0.0007 0.0343± 0.0008 0.053± 0.0013N 0.0165± 0.0006 0.0394± 0.0009 0.098± 0.0013O 0.0245± 0.0007 0.0401± 0.0009 0.062± 0.0013Q 0.0286± 0.0008 0.052± 0.001 0.077± 0.0013T 0.0132± 0.0005 0.0231± 0.0007 0.0360± 0.00093W 0.0293± 0.0008 0.048± 0.001 0.081± 0.0013Z − − −4A − − −4H − − −
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Table 2: (continued)
Matcher FNMR @ FMR=0.01 FNMR @ FMR=0.001 FNMR @ FMR=0.00014I − − −4J − − −4L − − −4O − − −4P − − −4Q − − −4S − − −4T − − −4U − − −4X − − −4Z − − −3X − − −
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Table 3: Left index finger FNMRs at various FMRs when 3X and MINEX compliant matchers comparetemplates created by template generator 3X.
Matcher FNMR @ FMR=0.01 FNMR @ FMR=0.001 FNMR @ FMR=0.0001A 0.077± 0.001 0.116± 0.001 0.165± 0.002B − − −C 0.053± 0.001 0.088± 0.001 0.129± 0.002D 0.0425± 0.0009 0.060± 0.001 0.090± 0.001F 0.053± 0.001 0.088± 0.001 0.130± 0.002G 0.0269± 0.0008 0.0458± 0.0010 0.067± 0.0011C 0.048± 0.001 0.080± 0.001 0.110± 0.0011E 0.064± 0.001 0.094± 0.001 0.133± 0.0021F 0.052± 0.001 0.081± 0.001 0.109± 0.0011G 0.052± 0.001 0.081± 0.001 0.109± 0.0011I 0.057± 0.001 0.113± 0.001 0.209± 0.0021J 0.0370± 0.0009 0.065± 0.001 0.094± 0.0011L 0.0331± 0.0008 0.050± 0.001 0.074± 0.0011R 0.055± 0.001 0.104± 0.001 0.209± 0.0021T 0.0467± 0.0010 0.075± 0.001 0.117± 0.0021W 0.0439± 0.0010 0.080± 0.001 0.138± 0.0022A 0.053± 0.001 0.088± 0.001 0.129± 0.0022C 0.052± 0.001 0.101± 0.001 0.185± 0.0022G 0.0339± 0.0008 0.062± 0.001 0.107± 0.0012I 0.0297± 0.0008 0.061± 0.001 0.114± 0.0012J 0.050± 0.001 0.092± 0.001 0.138± 0.0022N 0.0472± 0.0010 0.080± 0.001 0.117± 0.0022O 0.0216± 0.0007 0.0399± 0.0009 0.077± 0.0012Q 0.0183± 0.0006 0.0319± 0.0008 0.0477± 0.00102R 0.061± 0.001 0.109± 0.001 0.164± 0.0022S 0.0443± 0.0010 0.072± 0.001 0.108± 0.0012T 0.072± 0.001 0.097± 0.001 0.128± 0.0022Y 0.0359± 0.0009 0.058± 0.001 0.086± 0.0013A 0.0249± 0.0007 0.0322± 0.0008 0.0443± 0.00103D 0.0373± 0.0009 0.060± 0.001 0.088± 0.0013G 0.0257± 0.0007 0.0480± 0.0010 0.073± 0.0013J 0.0358± 0.0009 0.051± 0.001 0.075± 0.0013N 0.0300± 0.0008 0.061± 0.001 0.110± 0.0013O 0.0382± 0.0009 0.061± 0.001 0.087± 0.0013Q 0.048± 0.001 0.080± 0.001 0.116± 0.0013T 0.0232± 0.0007 0.0392± 0.0009 0.059± 0.0013W 0.048± 0.001 0.082± 0.001 0.118± 0.0023Z − − −4A − − −4H − − −
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Table 3: (continued)
Matcher FNMR @ FMR=0.01 FNMR @ FMR=0.001 FNMR @ FMR=0.00014I − − −4J − − −4L − − −4O − − −4P − − −4Q − − −4S − − −4T − − −4U − − −4X − − −4Z − − −3X − − −
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Table 4: Two finger FNMRs at various FMRs when 3X and MINEX compliant matchers comparetemplates created by template generator 3X.
Matcher FNMR @ FMR=0.01 FNMR @ FMR=0.001 FNMR @ FMR=0.0001A 0.0178± 0.0004 0.0318± 0.0006 0.0506± 0.0007B − − −C 0.0096± 0.0003 0.0190± 0.0005 0.0336± 0.0006D 0.0069± 0.0003 0.0102± 0.0003 0.0171± 0.0004F 0.0097± 0.0003 0.0189± 0.0004 0.0349± 0.0006G 0.0021± 0.0002 0.0050± 0.0002 0.0089± 0.00031C 0.0086± 0.0003 0.0165± 0.0004 0.0266± 0.00051E 0.0121± 0.0004 0.0210± 0.0005 0.0292± 0.00061F 0.0079± 0.0003 0.0146± 0.0004 0.0237± 0.00051G 0.0079± 0.0003 0.0146± 0.0004 0.0237± 0.00051I 0.0071± 0.0003 0.0221± 0.0005 0.0629± 0.00081J 0.0045± 0.0002 0.0095± 0.0003 0.0168± 0.00041L 0.0042± 0.0002 0.0075± 0.0003 0.0116± 0.00041R 0.0072± 0.0003 0.0197± 0.0005 0.0657± 0.00081T 0.0076± 0.0003 0.0156± 0.0004 0.0262± 0.00051W 0.0061± 0.0003 0.0212± 0.0005 0.0720± 0.00092A 0.0096± 0.0003 0.0190± 0.0005 0.0336± 0.00062C 0.0064± 0.0003 0.0186± 0.0004 0.0488± 0.00072G 0.0040± 0.0002 0.0098± 0.0003 0.0196± 0.00052I 0.0027± 0.0002 0.0088± 0.0003 0.0183± 0.00042J 0.0088± 0.0003 0.0202± 0.0005 0.0366± 0.00062N 0.0068± 0.0003 0.0141± 0.0004 0.0233± 0.00052O 0.0022± 0.0002 0.0043± 0.0002 0.0081± 0.00032Q 0.0014± 0.0001 0.0030± 0.0002 0.0050± 0.00022R 0.0319± 0.0006 0.0632± 0.0008 0.0983± 0.00102S 0.0058± 0.0003 0.0109± 0.0003 0.0183± 0.00042T 0.0116± 0.0004 0.0181± 0.0004 0.0259± 0.00052Y 0.0073± 0.0003 0.0125± 0.0004 0.0205± 0.00053A 0.0034± 0.0002 0.0049± 0.0002 0.0071± 0.00033D 0.0039± 0.0002 0.0067± 0.0003 0.0124± 0.00043G 0.0026± 0.0002 0.0052± 0.0002 0.0087± 0.00033J 0.0041± 0.0002 0.0073± 0.0003 0.0123± 0.00043N 0.0029± 0.0002 0.0085± 0.0003 0.0178± 0.00043O 0.0055± 0.0002 0.0102± 0.0003 0.0188± 0.00043Q 0.0056± 0.0002 0.0121± 0.0004 0.0239± 0.00053T 0.0024± 0.0002 0.0047± 0.0002 0.0079± 0.00033W 0.0096± 0.0003 0.0172± 0.0004 0.0305± 0.00063Z − − −4A − − −4H − − −
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Table 4: (continued)
Matcher FNMR @ FMR=0.01 FNMR @ FMR=0.001 FNMR @ FMR=0.00014I − − −4J − − −4L − − −4O − − −4P − − −4Q − − −4S − − −4T − − −4U − − −4X − − −4Z − − −3X − − −
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5 References[1] Jonathan N. Bradley, Christopher M. Brislawn, and Thomas Hopper. FBI wavelet/scalar quantization stan-
dard for gray-scale fingerprint image compression. In SPIE, Visual Information Processing II, 1961. 3
[2] Patrick Grother Elham Tabassi, George W. Quinn. When to fuse two biometrics. In IEEE Computer Society onComputer Vision and Pattern Recognition, Workshop on Multi-Biometrics, 2006. 3
[3] Robert Fontana, Giovanni Pistone, and Maria Rogantin. Cliassification of two-level factorial fractions. Jour-nal of Statistical Planning and Inference, 87:149–172, 2000. 3
[4] P. Grother, M. McCabe, C. Watson, M. Indovina, W. Salamon, P. Flanagan, E. Tabassi, E. Newton, and C. Wil-son. Performance and Interoperability of the INCITS 378 Fingerprint Template. Technical report, NIST, 2006.4
[5] A. Martin, G. Doddington, T. Kamm, M. Ordowski, and M. Przybocki. The DET curve in assessment ofdetection task performance. In Proc. Eurospeech, pages 1895–1898, 1997. 3
[6] George W. Quinn. Evaluation of latent fingerprint technologies: Fusion. In NIST Latent Fingerprint TestingWorkshop Recognition, Workshop, 2009. 3
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