
Proceedings Paper
Use of learned dictionaries in tomographic reconstructionFormat | Member Price | Non-Member Price |
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Paper Abstract
We study the use and impact of a dictionary in a tomographic reconstruction setup. First, we build two different
dictionaries: one using a set of bases functions (Discrete Cosine Transform), and the other that is learned using
patches extracted from training images, similar to the image that we would like to reconstruct. We use K-SVD as
the learning algorithm. These dictionaries being local, we convert them to global dictionaries, ready to be applied
on whole images, by generating all possible shifts of each atom across the image. During the reconstruction, we
minimize the reconstruction error by performing a gradient descent on the image representation in the dictionary
space. Our experiments show promising results, allowing to eliminate standard artifacts in the tomographic
reconstruction, and to reduce the number of measurements required for the inversion. However, the quality of
the results depends on the convergence of the learning process, and on the parameters of the dictionaries (number
of atoms, convergence criterion, atom size, etc.). The exact influence of each of these remains to be studied.
Paper Details
Date Published: 27 September 2011
PDF: 11 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81381C (27 September 2011); doi: 10.1117/12.894776
Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)
PDF: 11 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81381C (27 September 2011); doi: 10.1117/12.894776
Show Author Affiliations
Vincent Etter, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Ivana Jovanovic, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Univ. of Geneva (Switzerland)
Ivana Jovanovic, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Univ. of Geneva (Switzerland)
Martin Vetterli, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)
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