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1、附录BWavelettransforminimageprocessinginsimulationandApplication1,tasksignificanceInthetraditionalanalysisofsignalinfrequencydomain,iscompletelyunfolded,doesnotcontainanytimefrequencyinformation,whichforsomeapplicationsitisappropriate,becausethefrequencyofthesignaltoitsinformationisveryimport
2、ant.Butitsdiscardedtimeinformationmaybepossibleforsomeapplicationsalsoisveryimportant,sotheanalysisofthepromotion,putforwardalotoftimedomainandfrequencydomaininformationsignalanalysismethods,suchasshortFouriertransform,Gabortransform,time-frequencyanalysis,wavelettransform.Waveletanalysisov
3、ercomestheSTFTinasingleresolutiononthedefect,hasthecharacteristicsofmulti-resolutionanalysis,whichhasbeenwidelyappliedinimageprocessing.Thetraditionalsignaltheory,isbuiltonthebasisoftheanalysisofFourier,Fouriertransformisakindofglobalchange,ithassomelimitations.Inpracticalapplication,thepeo
4、plestarttoFouriertransformareimproved,thusresultinginwaveletanalysis.Waveletanalysisisanewbranchofmathematics,itisauniversalfunction,Fourieranalysis,harmonicanalysis,numericalanalysisofthemostperfectcrystalline;inthefieldsofapplication,especiallyinsignalprocessing,imageprocessing,speechproc
5、essingandnonlinearsciencedomain,itisconsideredtobetheFourieranalysisafteranothereffectivewhenfrequencyanalysismethod.WavelettransformandFouriertransform,isatimeandfrequencydomainofthelocaltransformwhichcaneffectivelyextractedfromthesignalinformation,throughdilationandshiftoperationfunctiont
6、ofunctionorsignalmultiscaleanalysis(MultiscaleAnalysis),tosolvetheFouriertransformcannotsolvemanydifficultproblemsWavelettransformisarapiddevelopmentandmorepopularsignalanalysismethod,theimageprocessingisaveryimportantapplication,includingimagecompression,imagedenoising,imagefusion,imagedec
7、omposition,imageenhancement.Waveletanalysisistheanalysismethodofthinkinginthedevelopmentandcontinuation.Inadditiontocontinuouswavelet,discretewavelettransform(CWT)(DWT),andthewaveletpacket(WaveletPacket)andmultidimensionalwaveletWaveletanalysisinimagepro