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Reconstruction Tomographique Mojette

Abstract : One of the recherch field of in the Image and Videocommunication team is the discrete tomographic reconstruction. My PhD is in the field of the medical tomographic reconstruction. The Mojette transform is a discrete exact version of the Radon transform. The Radon transform is the mathematic tool that allows to perform a tomographic reconstruction. To evaluate the reconstruction quality we have used 2D simple numeric phantoms (round and square shape) without and with noise. The main point of my work is an object reconstruction with a backprojection exact fitrered Mojette algorithm without noise, using the discrete geometry. For a finite number of projections according to the object size, the reconstruction is exact. Most of industrials tomograph are using the FBP algorithm (Filtered Backprojection) to reconstruct the region of interest. We could implement a FBP Mojette algorithm. This algorithm is a part of the reconstruction algorithm methods. It was successfully tested in the presence of noise. This algorithm allows a continuous/discrete equivalence. The projection/backprojection Mojette has the property to be described by a Toeplitz bloc Toeplitz matrix. To use this property we have implement a congugate gradient algorithm.
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https://tel.archives-ouvertes.fr/tel-00426920
Contributor : Harold Mouchère <>
Submitted on : Wednesday, October 28, 2009 - 3:05:19 PM
Last modification on : Monday, December 7, 2020 - 1:32:01 PM
Long-term archiving on: : Tuesday, October 16, 2012 - 12:55:10 PM

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  • HAL Id : tel-00426920, version 1

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Myriam Servières. Reconstruction Tomographique Mojette. Géométrie algorithmique [cs.CG]. Université de Nantes; Ecole Centrale de Nantes (ECN), 2005. Français. ⟨tel-00426920⟩

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