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1、522IEEETRANSACTIONSONIMAGEPROCESSING,VOL.19,NO.2,FEBRUARY2010AnAnalysisofIrisCodeAdamsW.K.Kong,Member,IEEE,DavidZhang,Fellow,IEEE,andMohamedS.Kamel,Fellow,IEEEAbstract—IrisCodeisanirisrecognitionalgorithmdevelopedintheaccuracyofIrisCode[5],IrisCodehasbeenextensivelyde-1993andcont
2、inuouslyimprovedbyDaugman.Ithasbeenexten-ployedincommercialirisrecognitionsystemsforvarioussecu-sivelyappliedincommercialirisrecognitionsystems.IrisCoderep-rityapplicationsandmorethan50millionpersonshavebeenresentinganirisbasedoncoarsephasehasanumberofproper-enrolledusingIrisCode
3、.FollowingthekeyideaofIrisCode,re-tiesincludingrapidmatching,binomialimpostordistributionandapredictablefalseacceptancerate.Becauseofitssuccessfulappli-searchershavedevelopeddifferentcodingmethodsforuseincationsandtheseproperties,manysimilarcodingmethodshaveirisandpalmprintrecogn
4、ition[6]–[18],[27].beendevelopedforirisandpalmprintidentification.However,weWenowgiveabriefcomputationalsummaryforthosewholackadetailedanalysisofIrisCode.Theaimofthispaperistopro-arenotfamiliarwithIrisCode.Two-dimensionalGaborfiltersvidesuchananalysisasawayofbetterunderstandingIris
5、Code,withzeroDCareappliedtoanirisimageinadimensionlessextendingthecoarsephaserepresentationtoaprecisephaserep-resentation,anduncoveringtherelationshipbetweenIrisCodeandpolarcoordinatesystem,.ThecomplexGaborresponseothercodingmethods.OuranalysisdemonstratesthatIrisCodeisisencodedi
6、ntotwobitsbyusingthefollowinginequalities[seeaclusteringalgorithmwithfourprototypes;thelocusofaGabor(1)–(4),shownatthebottomofthenextpage],where,,,functionisa2-DellipsewithrespecttoaphaseparameterandcanandaretheparametersoftheGaborfilters[2].Thebitwisebeapproximatedbyacircleinmany
7、cases;Gaborfunctioncanhammingdistanceisusedtomeasurethedifferencebetweenbeconsideredasaphase-steerablefilterandthebitwisehammingdistancecanberegardedasabitwisephasedistance.Wealsodis-twoIrisCodes.Thefirstversionofthebitwisehammingdistancecussthetheoreticalfoundationoftheimpostorbin
8、omialdistribu-isdefinedas,whereandtion.We
