基于小波分形的图像处理算法.研究与应用

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1、武汉理工大学硕士学位论文theoriesofsecondgenerationwaveletanddual-treecomplexwaveletarediscuessed，wehavealsoproposedtwonovalde-noisingmethodbasedonscal-adaptivesecondwaveletanddual．treecomplexwavelet。Finallythetestingshavedprovedtheeffectivenessofthoestwonovalmethod，andtheexperi

2、mentsshowthatthosetwonovalproposedalgorithmisefficientinimagede-noising，∞theybotllhavegoodapplicationvalueinimagede-noising。Theapplicationoffractalinimageedgedetectionofwaveletisintroducedindetail，studyingontheselectionofthebestedgewaveletbasisbasedonfraetal。Thetrad

3、itionalmethodsofedgedetectionarebasedonone-orderderivative’Smaximum，ortwo·orderderivative’Szero-crossing，andmeyareverysensitivetonoise。Inthispaper，wechoosethebestedgewaveletbasisbyusingofthefractalconstantofdifferentimages。ItWasprovedthatthischoosingedgewaveletmetho

4、disquiteeffective，theeffectofedgedetectionwouldkeepedgepositionsverywell。Aadaptivethresholdedgedetectionalgorithmofwaveletisputforwardinthispaper，andthetestingshavedprovedtheeffectivenessofthismethod，theedgeeffectisbetterthantraditionalmethodofwaveletbasedonmodulusm

5、axilnum，theexperimentalsoprovedthatthemethodproposedhaveverygoodapplicationvalueinimageedgedetection。Theapplicationofwaveletinimagefusionisstudied。Differentwaveletbasisalgorithminimagefusionandtheinfluenceoffusioneffectwhenusingdifferentdecomposinglevelsareintroduce

6、dindetail。Inthispaper，wepresentaschemeofmulti-resolutionfortwodifferentimagesusingwavelettransform。Thetwodifferentimagesweredecomposedtosomesub-bandimagesindifferentffequence，weCallprocessthedifferentcofficiencesindifferentfrequeneeandcouldgetnewwaveletcofficiences，

7、Thenthewaveletcofficiencesmatrixwastransformedinversely，Finallywecouldgetanfusedimage。Atlast，theexperimentverifiedtheeffectivenessofthisschemeandthefusioneffectwasbetter，italsoshowthatthismethodproposedhaveverygoodapplicationvalueinimagefusion·KeyWords：waveletbasis，

8、fractal，imagedenoising，edgedetection，imagefusionIV独创性声明本人声明，所呈交的论文是我个人在导师指导下进行的研究工作及取得的研究成果．尽我所知，除了文中特别加以标注和致谢的地方外，论文中不包含其他人已经发表或撰写过的研究成果，