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1、中北大學(xué)碩士學(xué)位論文錐束螺旋CT的迭代算法研究姓名:薛震申請學(xué)位級別:碩士專業(yè):應(yīng)用數(shù)學(xué)指導(dǎo)教師:潘晉孝20090425中北大學(xué)碩士學(xué)位論文AbstractComputedTomography(CT)isatechnologywithwhichwecanknowthestructureofanobjectinthewayofnon.destruction.UptonOWithasbeenusedwidelyinfieldsofsuchasmedicaldiagnosis.nondestructiveexamination,andaeronauticsandastr
2、onauticsetc.Cone—beamCThasmuchadvantageover2Dparallel.beamandfan。beamCTintheaspectsofspeedinobtainingdata,spatialresolutionandtheutilizationratioofrays.NowCTincommerceareturningtousingcone.beamCT.Helicalcone.beamCT-thecone.beamCTwithhelicalscanningpath,hasbeenknownforusinglessX·rays,s
3、canningfastwithlargevolume.highaccuracyofreconstruction.SoithasbecomeahottopicinthefieldofCTimagereconstruction.Atpresenttheresearchonreconstructionalgorithmsofhelicalcone.beamCTisgenerallybasedonanalyticalgorithms,andthesemethodsusuallyneedcompleteprojectiondata.Inpracticecompletepro
4、jectiondatacannotbeobtainedoutofobjectivecause,SOanalyticmethodsfailinthiscase.IterativealgorithmshavegottenmoreandmoreattentionforitCanreconstructimagessimplyandeffectivelyandCanreconstructimageswitIlincompleteprojectiondata.Someexploratorystudyhasbeenissuedonhelicalcone。beaminthisPa
5、Der.Themaincontextisasfollows:Firstly,afastandreal—timemethodofobtainingprojectionmatrixisproposedaccordingtothecharacteristicofhelicalcone.beamCT.Theanalysisoncomplexityisdone.Theeffectivenessofproposedalgorithmsisprovedbysomeexperiments.Secondly,theeffectofpitchonreconstructedresult
6、isgoRenthroughreconstructingimageswithprojectiondataindifferentpitches.TheexperimentalresultsshowthatthepitchCanusuallybechosenas0.5.1.5timestheheightofdetectorontheconditionthatcone.beameffectiSnotobvious.Thusthereconstructedspeedcanbefastened.theamountofradiationcallbereduced,andbet
7、terreconstructedresultscanbeobtained.Lastly,theiterativealgorithmsaredonewiththeprojectiondataincaseofsparseandsight—limited.Theexperimentalresultsshowthatbetterimagescanstillbegottenbyusingiterativereconstructionalgorithmwithincompleteprojectiondata.Ontheconditionthattheamountofproje
8、ction