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1、附录BWavelettransforminimageprocessinginsimulationandApplication1,tasksignificanceInthetraditionalanalysisofsignalinfrequencydomain,iscompletelyunfolded,doesnotcontainanytimefrequencyinformation,whichforsomeapplicationsitisappropriate,becausethefrequencyofthesigna
2、ltoitsinformationisveryimportant.Butitsdiscardedtimeinformationmaybepossibleforsomeapplicationsalsoisveryimportant,sotheanalysisofthepromotion,putforwardalotoftimedomainandfrequencydomaininformationsignalanalysismethods,suchasshortFouriertransform,Gabortransform
3、,time-frequencyanalysis,wavelettransform.WaveletanalysisovercomestheSTFTinasingleresolutiononthedefect,hasthecharacteristicsofmulti-resolutionanalysis,whichhasbeenwidelyappliedinimageprocessing.Thetraditionalsignaltheory,isbuiltonthebasisoftheanalysisofFourier,F
4、ouriertransformisakindofglobalchange,ithassomelimitations.Inpracticalapplication,thepeoplestarttoFouriertransformareimproved,thusresultinginwaveletanalysis.Waveletanalysisisanewbranchofmathematics,itisauniversalfunction,Fourieranalysis,harmonicanalysis,numerical
5、analysisofthemostperfectcrystalline;inthefieldsofapplication,especiallyinsignalprocessing,imageprocessing,speechprocessingandnonlinearsciencedomain,itisconsideredtobetheFourieranalysisafteranothereffectivewhenfrequencyanalysismethod.WavelettransformandFouriertra
6、nsform,isatimeandfrequencydomainofthelocaltransformwhichcaneffectivelyextractedfromthesignalinformation,throughdilationandshiftoperationfunctiontofunctionorsignalmultiscaleanalysis(MultiscaleAnalysis),tosolvetheFouriertransformcannotsolvemanydifficultproblemsWav
7、elettransformisarapiddevelopmentandmorepopularsignalanalysismethod,theimageprocessingisaveryimportantapplication,includingimagecompression,imagedenoising,imagefusion,imagedecomposition,imageenhancement.Waveletanalysisistheanalysismethodofthinkinginthedevelopment
8、andcontinuation.Inadditiontocontinuouswavelet,discretewavelettransform(CWT)(DWT),andthewaveletpacket(WaveletPacket)andmultidimensionalwaveletWaveletanalysisinimagepro
