Optimal restoration of noisy 3D X-ray data via shearlet decompositions

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.

Department(s)

Mathematics

Document Type

Conference Proceeding

DOI

https://doi.org/10.1117/12.2023680

Keywords

Shearlets, Wavelets, X-ray

Publication Date

12-9-2013

Journal Title

Proceedings of SPIE - The International Society for Optical Engineering

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