Introductory and historical overview of tomographic applications in medicine, science and technology. Artifacts and physical factors affecting image quality: attenuation and scattering of radiation, depth dependent resolution. Basics of signal theory and discrete Fourier transformation. Basic theorems. Radon transform. Methods of tomographic reconstruction: analytical, algebraic/iterative, statistical. Filtered backprojection algorithm for various geometries: parallel-beam, fan-beam, cone-beam. Characteristics and selection of various reconstruction filters. Methods of attenuation correction and resolution recovery. Application and importance of computer simulations of tomographic acquisitions. Analytical and anthropomorphic phantoms. Maximum-likelihood iterative reconstruction.
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