基于非線性方程的圖像處理算法設計.pdf

1、南京理工大學碩士學位論文基于非線性方程的圖像處理算法設計姓名：陳宏君申請學位級別：碩士專業(yè)：控制理論與控制工程指導教師：王執(zhí)銓茅耀斌20050615南隸理工文學碩士拳位論文基于菲線性方程豹蕊像懿聯(lián)舞法最計AbstractThepresentdissertationhasappbednonfinearequationsfromtheviewpointofscale—spaceintheresearchofimagefiltering，se

2、gmentationandvideotrackingThemaincontributionsofthedissertationareitemizedasfollows：(1)Animprovedimagefilteringalgorithmbasedonfourthorderpartialdifferentialequation(PDE)isputforthThealgorithmcouldsimultaneouslysuppressm

3、ixingGaussianandsaltandpeppertypenoiseswhileeliminatetheblockingeffectderivedfromloworderPDEs；(2)Togetridofnoiseswithlargevariance，anonlinearadaptivediffusioniterativefilterisimposedonhighfrequencycoefficientsofimagesaft

4、erwaveletdecomposition，whichhasachievedsatisfactoryresults；(3)Animageshockfilteringalgorithmemployingnonlinearcomplexequationsisproposed。whichcarteffectivelysmoothnoiseswhile豫ha蘸eeimageedges；(4)Furthermore，theCGLequation

5、thatusedtodescribethesuperconductorinitscriticalphasehasbeenincorporatedintocomplexdiffusionequationtOformashockfilteringmodelthathastheabilityofenhancingedgesintheprocessofnoiseelimination；(5)Acolorimagefilteringalgorit

6、hrabasedonBeltramiFlowhasbeenimporved。Byusingentropyconservationdiseretizationmethod，thealgorithmhasanisotropicdiffusingspeedingradientdirectionandcontourdirectionSOthatmixingnoisewithGaussianandSaltandPeppertypecouldbee

7、fficientlysuppressedinonlyafewroundsofiterations；(◇Mterimagesegmentationaigorithmsbasedonspatialscale—spaceissummarized，onefastedgedetectionmethodusingcomplexdiffusionequationhasbeenprovidedwhoselocalizationprecisionando

8、perationspeedarebothimproved；(7)OnefeasiblesegmentationalgorithmwithgoodsegmentationresultbutlowoperationspeedisalsobroulghtoutinthethesisThelevelsetmethodinthecomplexnonlinearscale—spacehasbeenusedinthealgorithm；(8)Onea

9、ctivecontourvideotrackingmethodblendingchaos，geneticalgorithmandgreedyalgorithmisproposed，whosesegmentationresulthasexceededthatofthemethodsjustUSeSgreedyalgorithmintermsofsingleframesegmentationFinallyafteranalyzingthed