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1、对图像用小波进行层小波分解（Waveletdecompositionofimageusinglayerwavelet）Introduction:fromthetwo-dimensionalwavelettheory,thispaperdoessomeanalysisandprocessingontheapplicationofimageprocessing,tryingtoshowthatwaveletanalysishasitsuniquecharacteristicsinimageprocessin
2、g.Thispaperexpoundsthefollowingpoints:Thebasicconceptofwavelet:imagecompression,imagedenoising,imageenhancementandimagesmoothingTwo:thebasicconceptofwaveletDefinition:setthewavelettransformforFuLiye,whenmeettheconditionthattheperfectreconstructionconditi
3、onoridenticalresolutionconditions.Whenwecalledawaveletorwavelet,thegeneratingfunctionthroughextensionandtranslation,too.Wecallitawaveletsequence.AisthedilationfactorandBisthetranslationfactor.Wavelettransformisasignalofthetime-scaleanalysismethod,ithasth
4、echaracteristicsofmulti-resolutionanalysis,andcanbeusedtodescribethelocalcharacteristicofsignalintime-frequencydomaintwo,isafixedwindowsizebutitsshapevariable,time-frequencylocalizationtimewindowandthefrequencywindowvariableanalysismethod.Thefrequencyand
5、timeresolutionisthelowfrequencypartishigh,thehighfrequencyparthashighertimeresolutionandlowfrequencyresolution,itissuitablefordetectingthetransientabnormalphenomenawiththenormalsignalanditscomponent,socalledsignalanalysismicroscope.Waveanalysisistodecomp
6、osethesignalintotwoparts:lowfrequencyAlandhighfrequencydl.Inthedecomposition,thelostinformationinlowfrequencyAliscapturedbyhighfrequencydl.Inthedecompositionofthenextlayer,Alisdecomposedintotwoparts:lowfrequencyA2andhighfrequencyD2.Thelostinformationinlo
7、wfrequencyA2iscapturedbyhighfrequencyD2,andsoon,itcanbedecomposedfurther.Thetwo-dimensionalwaveletfunctionthroughone-dimensionalwavelettransformofthetensorproductfunctionbytwo-dimensionalwaveletfunction,decompositionisthelowfrequencypartofthejscaleisdivi
8、dedintofourparts:lowfrequencyscalej+1partandthreedirections(horizontal,verticalanddiagonalhigh-frequencypart).Three:imagecompressionFortheimage,ifyouneedtofastorreal-timetransmissionandalargenumberofstorage,youneedtocompre
