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Basic Principles of Computed TomographyDr. Kazuhiko HAMAMOTODept. of Infor. Media Tech.Tokai University
What is the CT?Mathematical transform to the measured data.Reconstruct n dimension function (image) => projection data of n 1 dimension Radon Transform (1917) Two dimension and three dimension object can be reconstructed from the infinite set of projection data.The First CT: 1973 in the U.S. 4 minutes scan, thickness of 10mm
Concept of CTGetting the shape by back projection of the projection data.For example, outward view is the quadrangle => it is the cylinderCTAlgorithm
Basic principle of CT-Reconstruction of 2 dimensional image-Simple BackprojectionProjection Dataxyxycurvilinear integral of absorption coefficient regarding YobjectX-raytubeX-ray detector arrayData Acquisition fieldReconstruction fieldXXY
Basic principle of CT -Reconstruction of 2 dimensional image-Filtered BackprojectionProjection DataxMultidirectional BackprojectionReconstruction FilterFiltered Projection data
Reconstruction process
Reconstruction processData acquisition at angle : 0 180 degreeObtain F(u,v) and then 2D IFFT -> reconstructionRadon Transform is equivalent to Filtered backprojection !
Example of SimulationModel ImageSimple BackprojectionFiltered Backprojection

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