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Gabor滤波在指纹图像增强中的应用 1.Introduction Fingerprintrecognitionisoneofthemostwidelyusedbiometrictechnologiesforpersonalidentificationandauthentication.Fingerprintimagesarecommonlycollectedbycontactoropticalsensors,whichmayresultinnoisyorpoorqualityimagesduetofactorssuchasskincondition,pressuredistribution,andsurfacetopology.Improvingthequalityoffingerprintimagesisthereforecriticalforachievingaccurateandreliablefingerprintrecognitionperformance.Variousimageenhancementtechniqueshavebeenproposedforthispurpose,includingGaborfiltering. Gaborfilteringisapowerfultechniqueforenhancingtextureandedgeinformationinimages.Ithasbeenwidelyappliedtofingerprintimageenhancementduetoitsabilitytocapturemulti-scaleandmulti-orientationinformationfromimages.Inthispaper,wereviewtheapplicationofGaborfilteringinfingerprintimageenhancement,includingthebasicconceptsandtheoriesofGaborfiltering,thebenefitsofusingGaborfiltersforfingerprintimageenhancement,andthechallengesandlimitationsofcurrentapproaches. 2.GaborFilters GaborfiltersareasetoflinearfiltersthatarebasedontheGaborfunction,acomplexexponentialmodulatedbyaGaussianenvelopefunction.TheequationfortheGaborfunctionisgivenby: g(x,y)=exp(-(x^2+y^2)/(2σ^2))exp(i(2πux+2πvy)) Wherexandyarethespatialcoordinates,uandvarethespatialfrequencyparameters,σisthestandarddeviationoftheGaussianenvelope,andiistheimaginaryunit.TheGaborfunctionisalocalizedandoscillatoryfunctionthathasbothrealandimaginaryparts,andits2DFouriertransformisalsoaGaborfunctioninthefrequencydomain. GaborfiltersareobtainedbyconvolvingtheinputimagewithasetofGaborfunctionsthathavedifferentfrequencyandorientationparameters.EachGaborfilterextractsadifferentscaleandorientationofthetextureinformationfromtheinputimage,whichcanbeusedtoenhancethelocalcontrastandedgefeaturesoftheimage.TheoutputoftheGaborfilteringprocessisasetoffilteredimagesthathaveenhancedtextureandedgeinformationatdifferentscalesandorientations. 3.BenefitsofUsingGaborFiltersforFingerprintImageEnhancement Gaborfiltershaveseveralbenefit