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1、ABSTRACT11igh—frequencydataduetofinitesampling．Collectingmorehigh—frequencydataorusingafilterbeforeFouriertransformationarethecommonwaystoreducethetruncationartifact．However,theformermaynotbepossibleduetopracticalphysicalortemporalconstraintsondataacquisition．Thelatteri
2、satthepriceofdowngradingimagespatialresolution．Sofarmanymethodshavebeenproposedtosuppressingtruncationartifacts．Ingeneralcanbedividedintohardwaremethodsandimageprocessingmethod．Imagepost—processingcanbedividedintotherecoveryprocesstorestoretheimageofthelimitedsampling．A
3、nothermainlyfocusintheKspacedataextrapolationinordertoavoiddatatruncation．Nomatterwhichmethodisused,theultimategoalistoreducetheinfluenceofthetruncationartifactsandtomaintaintheboundaryinformationoftheimage．Althoughtherearemoremmcationartifactsuppressionmethodwasbom．How
4、evereachmethodhascertainlimitations．Whichevermethodtoremovingthetruncationartifactsdon’thaveuniversalapplicability．Andmostofthemanufacturerstoproducecommercialmagneticresonancedeviceonlyuseasimpledatafilteringprocess．Thetruncationartifactsremovalmethodisstillworthyoffia
5、rtherstudy．InChapterII，ChapterIII，wefirstin·depthstudythebasicprinciplesofIVlRIandtruncationartifactcausesandsolutions．Inthefourthchapterwefocusesonthetotalvariationinsignalprocessingapplications．Thenthroughalargenumberofexperimentstoverifytheeffectoftheimagesharpeningt
6、oolsincontrastinMRimagerecovery．Comparisonsofsecond—orderdifferentialmethod，suchasLaplacianoperatorissuperiortothefirst-order,suchasSobeloperatoreffectsinimagesharpening．WeproposetotalvariationdenoisingbasedLaplaciansharpeningfilteringmethod．FistuseTvDtoprocesstheimagec
7、ontainingatruncationartifact。ThetnmcationartifactcontainedimagehashigherTVscoresandTVminimizedoptimizedmodelprocessing，theobtainedresultscanbeaverygoodsubstitutefor碩士學(xué)位論文theoriginaldata．Buttotalvariationmodelhasmanyflaws．Thesignalaftertotalvariationdenoisingprocessingit
8、scontrastwillbereduced，inadditiontherearetheinevitableladderphenomenon．Accordingtotheproposedmethodusethesecon
