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Proceedings Paper

Optimal restoration of noisy 3D x-ray data via shearlet decompositions
Author(s): Demetrio Labate; Glenn R. Easley; Kanghui Guo
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Paper Abstract

In a recent work, it was shown that the shearlet representation provides a useful formula for the reconstruction of 3D objects from their X-ray projections. One major advantage of this approach is that it yields a near-optimal rate of convergence in estimating piecewise smooth objects from 3D X-ray projections which are corrupted by white Gaussian noise. In this work, we provide numerical demonstrations to illustrate the effectiveness of this method and its performance as compared with other X-ray data restoration algorithms.

Paper Details

Date Published: 26 September 2013
PDF: 10 pages
Proc. SPIE 8858, Wavelets and Sparsity XV, 885807 (26 September 2013); doi: 10.1117/12.2023680
Show Author Affiliations
Demetrio Labate, Univ. of Houston (United States)
Glenn R. Easley, The MITRE Corp. (United States)
Kanghui Guo, Missouri State Univ. (United States)

Published in SPIE Proceedings Vol. 8858:
Wavelets and Sparsity XV
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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