人脸识别外文文献Word文档下载推荐.docx

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人脸识别外文文献Word文档下载推荐.docx

slicenseandpassportcheck,bankingandcustoms

controlsystem,andotherfields[1].

Themainmethodsoffacerecognitiontechnologycanbesummeduptothreekinds:

basedongeometricfeatures,templateandmodelseparately.ThePCAfacerecognitionmethodbasedonK-Ltransformhasbeenconcernedsincethe1990s.Itissimple,fast.andeasytouse.Itcanreflectthepersonface'

scharacteristiconthewhole.Therefore,applyingPCAmethodinthefacerecognitionisunceasinglyimproving.

D.-S.Huangetal.(Eds.):

ICIC2008,LNCS5226,pp.561–568,

2008.©

Springer-VerlagBerlinHeidelberg2008

ThispaperputsforwardamethodoffacerecognitionbasedonRed-BlackwavelettransformandPCA.Firstly,usingtheimprovedimagehistogramequalization[2]todoimagepreprocessing,eliminatingtheimpactofthedifferencesinlightintensity.Sec-ondly,usingtheRed-Blackwavelettransformtowithdrawthebluesub-bandoftherelativestablefaceimagetoobscuretheimpactsofexpressionsandpostures.Then,usingPCAtowithdrawthefeaturecomponentanddorecognition.ComparingwiththetraditionalPCAmethods,thisonecanobviouslyreducecomputationalcomplexityandincreasetherecognitionrateandanti-noiseperformance.Theexperimentalresultsshowthatthismethodmentionedinthispaperismoreaccurateandeffective.

2Red-BlackWaveletTransform

Liftingwavelettransformisaneffectivewavelettransformwhichdevelopedrapidlytheseyears.ItdiscardsthecomplexmathematicalconceptsandthetelescopicandtranslationoftheFouriertransformanalysisintheclassicalwavelettransform.Itde-velopsfromthethoughtoftheclassicalwavelettransformmulti-resolutionanalysis.Red-blackwavelettransform[3-4]isatwo-dimensionalliftingwavelettransform[5-6],itcontainshorizontal/verticallifinganddiagonallifting.Thespecificprinciplesareasbellow.

2.1Horizontal/VerticalLifting

AsFig.1shows,horizontal/verticalliftingisdividedintothreesteps:

1.Decomposition:

Theoriginalimagebyhorizontalandverticaldirectionisdividedintoredandblackblockinacross-blockway.

2.Prediction:

Carryonthepredictionusinghorizontaland

the

verticaldirectionfourneighborhood'

sredblockstoobtainablackblockpredictedvalue.

Then,usingthedifferenceoftheblackblockactualvalueandthepredictedvaluetosubstitutetheblackblockactualvalue.Itsresultobtainstheoriginalimagewaveletcoefficient.AsFig.1(b)shows:

f(i,j)¬

f(i,j)-[f(i-1,j)+f(i,j-1)+f(i,j+1)+f(i+1,j)]/4

(imod2¹

jmod2)



(1)

3.Revision:

Usingthehorizontalandverticaldirectionfourneighborhood'

sblackblock'

swaveletcoefficienttorevisetheredblockactualvaluetoobtaintheapproximatesignal.AsFig.1(c)shows:

f(i,j)+[f(i-1,j)+f(i,j-1)+f(i,j+1)+f(i+1,j)]/8

(imod2=



(2)

Inthisway,theredblockcorrespondstotheapproximatinginformationoftheimage,andtheblackblockcorrespondstothedetailsoftheimage.

2.2DiagonalLifting

Onthebasisofhorizontal/verticallifting,wedothediagonallifting.AsFig.2shows,itisalsodividedintothreesteps:

Fig.2.Diagonallifting

Afterhorizontal/verticallifting,dividingtheobtainedred blockintotheblueblockandtheyellowblockinthediagonalcrossway.

Usingfouroppositeangleneighborhood'

sblueblocktopredict adatainordertoobtaintheyellowblockpredictedvalue.Thenthedifferenceoftheyellowblockactualvalueandthepredictedvaluesubstitutestheyellowblockactualvalue.Itsresultobtainstheoriginalimagewaveletcoefficientofthediagonaldirection.AsFig.2(b)shows:

f(i,j)-[f(i-1,j-1)+f(i-1,j+1)+f(i+1,j-1)+f(i+1,j+1)]/4

(imod2=1,jmod2=1)

(3)

Usingfouroppositeangleneighborhoodyellowblockwaveletco-efficienttorevisetheblueblockactualvalueinordertoobtaintheapproximatesignal.AsFig.2(c)shows:

f(i,j)-[f(i-1,j-1)+f(i-1,j+1)+f(i+1,j-1)+f(i+1,j+1)]/8

(imod2=0,jmod2=0)

(4)

Afterthesecondlifting,thered-blackwavelettransformisrealized.

AccordingtotheEquations,itcananalyzesomecorrespondingrelationsbetweenthered-blackwavelettransformandtheclassicalwavelettransform:

namely,theblueblockisequaltothesub-bandLLoftheclassicaltensorproductwavelets,theyellowblockisequaltosub-bandHHandtheblackblockisequaltosub-bandHLandLH.Experimentalresultsshowthatitdiscardsthecomplexmathematicalconceptsandequations.Therelativityofimagecanmostlybeeliminatedandthesparserrepresen-tationofimagecanbeobtainedbytheRed-Blackwavelettransform.

TheimageafterRed-Blackwavelettransformisshowedinthe

Fig.3(b),ontheleftcorneristhebluesub-bandblockimagewhichistheapproximateimageoforiginalimage.

Fig.3.Theresultofred-blackwavelettransform

3FeatureExtractionBasedonPCA[7]

PCAisamethodwhichanalysesdatainstatisticalway.Thismethoddiscoversgroupofvectorsinthedataspace.Usingthesevectorstoexpressthedatavarianceasfaraspossible.PuttingthedatafromtheP-dimensionalspacedowntoM-dimensionalspace(P>

>

M).PCA use K-L transform to obtain the minimum-dimensional imagerecogni-tionspaceoftheapproximatingimagespace.Itviewsthefaceimageasahigh-dimensionalvector.Thehigh-dimensionalvectoriscomposedofeachpixel.Thenthehigh-dimensionalinformationspace maps the low-dimensional characteristic subspace by K-Ltransform. It obtains a group of orthogonal bases through high-dimensionalfaceimagespaceK-Ltransform.Thepartialretentionoforthogonalbasescreatesthelow-dimensionalsubspace.Theorthogonalbasesreservediscalled “Principlecomponent”.Sincetheimagecorrespondingtotheorthogonalbasesjustlikeface,sothisisalsocalled“Eigenfaces”method.Thearithmeticoffeatureextractionarespecifiedasfollows:

Forafaceimageofm×

n,connectingitseachrowwillconstitutearowvectorwhichhasD=m×

ndimensions.TheDisthefaceimagedimensions.SupposingMisthenumberoftrainingsamples,

xjisthefaceimagevectorwhichisderivedfromthejthpicture,

sothecovariancematrixofthewholesamplesis:

M

s=å

(x-u)(x-u)T (5)

T j jj=1

Andtheμistheaverageimagevectorofthetrainingsamples:

å

j

u=1Mx

Mj=1

(6)

1 2

OrderingA=[x

-u,x

-u,L,x

-u],soS

=AATanditsdemisionisD´

D.(7)

T

AccordingtotheprincipleofK-Ltransform,thecoordinateweachieved is com-posed of eigenvector corresponding to nonzero

eigenvalueofmatrixComputingouttheeigenvalueandOrthogonal

normalizedvectorofmatrixD×

Ddirectlyisdiffi-cult.SoaccordingtotheSVDprinciple,itcanfigureouttheeigenvalueandeigen-vectorofmatrixthroughgettingtheeigenvalueandeigenvector

ofmatrix

li(i=1,2,L,r)is r nonzero eigenvalue of matrix

vi:

is the

eigenvector corre-sponding toli

so the orthogonal normalized

lieigenvectorofmatrix isasbel-low:

This is the eigenvector of Arranging its eigenvalues

accordingtothesize:

l1³

l2³

li,itscorrespondingeigenvectoris

mi. In this way, each face image can project on the sub-space

composedof,

m1m2…mr.Inordertoreducethedimension,itcan

selecttheformerdeigenvectorsassub-space.Itcanselectdbiggesteigenvectorsaccordingtotheenergyproportionwh

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