| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4605571 | Applied and Computational Harmonic Analysis | 2010 | 22 Pages |
Abstract
A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon transform SVD basis. Upper bounds of the risk of the estimator are established in Lp (1⩽p⩽∞) norms for functions with Besov space smoothness. A practical implementation of the method is given and several examples are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
