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1、ElEctricalEnginEEringImageProcessingTensorTransformandDiscreteImageTomographywithMATLAB®Focusingonmathematicalmethodsincomputertomography,ImageProcessingProcessing:TensorTransformandDiscreteTomographywithMATLAB®introducesnovelapproachestohelpinsolving
2、theproblemofimagereconstructionontheCartesianlattice.Specifically,itdiscussesmethodsofimageprocessingalongparallelraystomoreTensorTransformandDiscretequicklyandaccuratelyreconstructimagesfromafinitenumberofprojections,therebyavoidingoverradiationofthe
3、bodyduringaTomographywithMATLAB®computedtomography(CT)scan.Thebookpresentsseveralnewideas,concepts,andmethods,manyofwhichhavenotbeenpublishedelsewhere.NewconceptsincludemethodsoftransferringthegeometryofraysfromtheplanetotheCartesianlattice,thepointma
4、pofprojections,theparticleanditsX-raysetfieldfunction,andthestatisticalmodelofaveraging.Theauthorssupplynumerousexamples,MATLAB®-basedprograms,end-of-chapterproblems,andexperimentalresultsofimplementation.imagef(n,m)Themainapproachforimagereconstructi
5、onproposedbytheauthorsdiffersfromexistingmethodsofback-projection,iterativereconstruction,andFourierandRadonfiltering.Inthisbook,theauthorsexplainhowtoprocesseachprojectionbyasystemoflinearequations,orlinearconvolutions,tocalculatethecorrespondingpart
6、ofthe2-Dtensorprojectionorpairedtransformofthediscreteimage.Theythendescribehowtocalculatetheinversetransformtoobtainthereconstruction.Theø=26.565ºproposedmodelsforimagereconstructionfromprojectionsaresimpleandresultinmoreaccuratereconstructions.Intro
7、ducinganewtheoryandmethodsofimagereconstruction,thisbookprovidesasolidgroundingforthoseinterestedinfurtherresearchandinobtainingnewresults.ItencouragesreaderstodevelopeffectivedetectorsapplicationsofthesemethodsinCT.K14749ISBN:978-1-4665-0994-890000Ar
8、tyomM.GrigoryannMerughanM.Grigoryan9781466509948K14749_Cover_mech.indd18/7/1210:48AMImageProcessingTensorTransformandDiscreteTomographywithMATLAB®K14749_FM.indd18/13/122:12:07PMThispageintentionallyleftblankImageProcessingTensorTransformandDis
