Optimal restoration of noisy 3D X-ray data via shearlet decompositions
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.
Shearlets, Wavelets, X-ray
Labate, Demetrio, Glenn R. Easley, and Kanghui Guo. "Optimal restoration of noisy 3D x-ray data via shearlet decompositions." In Wavelets and Sparsity XV, vol. 8858, p. 885807. International Society for Optics and Photonics, 2013.
Proceedings of SPIE - The International Society for Optical Engineering