数模论文集ue or not Fingerprint says Yes

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1、Uniqueornot?Fingerprintsays“Yes!”参赛队员：刘和松（自动化学院）石泉（材料学院）王希晶（光电学院）指导教师：李志良参赛单位：重庆大学参赛时间：2004年2月5∼9日Team#307Page1of23Uniqueornot?Fingerprintsays“Yes!”AbstractItishardtobelievethateveryone’snameisuniquetohimself.But“areyourfingerprintsuniquetoyourself?”manypeoplewillanswer“yes”.Inordertoprovet

2、hisproblem,wecreatemodelstoexplainit.Atfirstwecreateasimpleandcomprehensiblemodeltoquicklyandcoarselyestimatethisproblemwithfingerprintspatterns.It’seasytoseethatourfingerprintsvaryingeneralpatterns.Therearecommonly9patternsinourfingerprints.Assumethatwecandistinguishckindsoffingerprintsina

3、certainpatternforsampledpopulationA.WiththevarietyofparametercandA,wegetaninterestingconclusionthatevenwecandistinguishahugeamountoffingerprintsinacertainpattern(c=1000billion)foralocalcity’spopulation(A=30million),theprobabilityoftwoormorepeoplehavethesamefingerprints,orsimilarexactly,isne

4、arly100%.Toobtainanavailablemodel,wecreateanadvancedmodelmorestrictlyandprecisely.Theridgesandfurrowsinfingerprinthavesomesimilarcharacteristics.Weselect3kindsofminutiaepointsincludingtheirnumbers,positionsanddirectionsanddevelopastatisticalalgorithmtocalculatetheuniquenessoffingerprints.Th

5、eansweristhatfingerprintsareunique,asexpected!Thosetwomodelsareunderaprimaryassumptionthatallcharacteristicsofagivenfingerprintcanbewellrecognized.But,ifthefingerprintsathandaremostlyincomplete,pollutedordistorted,oddsofmisidentificationwilloccur.Basedonoursecondmodel,weanalyzehowtheincompl

6、etenessanddistortionofminutiaepointsinfluenceprecisionoffingerprintsidentification,andobtainsomeessentialrequirementsforacceptablefingerprintsidentification.InordertocompareoddsofmisidentificationbyfingerprintevidenceandthatbyDNA,wedevelopamodeltoanalyzetheidentificationbyDNAevidence.Restri

7、ctedbybiochemicalknowledge,ourmodelissheerlybasedontheDNAsequencestructure,regardlessofthosecomplicatedbiochemicalrestrictionsandrequirements.AssumingthattwoDANsequencesareidenticalifspecificpartsofthemarethesame,theconclusionmorestronglyremainsthatDNAis