.x-ct/ect Imaging Algorithm Research And System Development,

Medicine is an important and broad application area of Imaging and Graphics. Medical research and clinical practice are both utilizing and in some sense depending on the technology and equipments of imaging and graphics. CT PET and SPECT are three modern imaging techniques of broad medical application. This article aims to study the mathematical model of CT,PET and SPECT reconstruction methods and projective transforms and the formula of reconstruction, and then simulates the different formulae with MATLAB 7.01 and gives the reconstructed results.In the first chapter, we introduce the different reconstruction principles and mathematical models, and give the images which we get from the hospitals.In Chapter two, we study the parallel reconstruction formula of CT and PET, we simulate it with MATLAB. first ,we project the source image with Radon transform and reconstruct the projected image with FBP algorithm, then, we contrast the reconstructed image with the source image.In Chapter three, we achieve some numerical experiments SPECT projective transformation—attenuated Radon transform and contrast the results with non-attenuated Radon transform. About the analytical Natterer's reconstruction formula, which equal with the Novikov explicit inversion formula. We deal with the Cauchy principal value integrals of oscillatory function with the Gauss-Laguerre quadrature rule, this method can greatly increase the precision.In Chapter four, we survey the fan-beam and cone-beam analytical reconstruction formula of CT and simulate them with MATLAB. In cone-beam reconstruction, we create a brain 3D model with Shepp-Logan algorithm and get several slices, then we project every slice ,and then reconstruct the projective data with our algorithm, lastly we visual every slice in the Z direction.In the last Chapter, we point out the text of the yet to be perfected and further research in this chapter.