Convergence of FBP algorithm for tomography |
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Authors: | Gang-rong Qu |
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Institution: | 1.School of Science,Beijing Jiaotong University,Beijing,China;2.Beijing Center for Mathematics and Information Interdisciplinary Sciences,Beijing,China |
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Abstract: | Filter back-projection (FBP) algorithms are available and extensively used methods for tomography. In this paper, we prove the convergence of FBP algorithms at any continuous point of image function, in L 2-norm and L 1-norm under the certain assumptions of image and window functions of FBP algorithms. |
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