Image Reconstruction and Knowledgebase Tomography Mechanism

Document Type : Original Paper


Department of Applied Mathematics, Faculty of Mathematics, Iran University of Science & Technology, Tehtan, Iran


In this study, the problem of image reconstruction (Inverse Problem) and its semantic relationship

with a large range of applied and engineering problems are explained. The mechanism of tomographic

which is an example of the image reconstruction problem is described. The existence and uniqueness of

solutions and also regularization techniques are discussed. In order to better imagine abstract concepts, the process of digital X-ray imaging is presented using MATLAB. Image reconstruction techniques

are described by Radon and Fourier transforms and algebraic methods. The effects of selecting the number of angles in tomography and additive noise in the data, on the quality of the reconstructed image are investigated. The numerical results and the comparison of images reconstructed by different methods confirm the special ability of algebraic techniques in image reconstruction. In addition, it is shown that in algebraic methods, desirable features such as positivity and smoothness can be considered for the reconstructed image, which has a significant effect on reducing the approximation error.


Main Subjects

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Volume 12, Issue 1
April 2022
Pages 118-137
  • Receive Date: 24 January 2022
  • Revise Date: 05 March 2022
  • Accept Date: 16 March 2022
  • First Publish Date: 21 March 2022