Name
Abstract | ||
|---|---|---|
Curve lets are used to deal with the inverse problem of recovering a function f from noisy Bessel data B(alpha)f by Candes and Donoho. Motivated by the work of Colona, Easley and Labate, we solve the same problem by shearlets. It turns out that our method attains the mean square error convergence to O(log(epsilon(-1))epsilon(2/3/2+alpha)), as the noisy level epsilon goes to zero. Although this converge rate is the same as Candes and Donoho's in the case alpha = 1/2 the shearlets possess affine systems and avoid more complicated structure of the curvelet constructure. This makes it a better candidate for theoretical and numerical applications. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/978-3-642-22833-9_51 | NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS |
Keywords | Field | DocType |
Inverse problem,Bessel operator,Shearlets | Affine transformation,Convergence (routing),Pure mathematics,Mean squared error,Shearlet,Inverse problem,Operator (computer programming),Mathematics,Bessel function,Curvelet | Conference |
Volume | Issue | ISSN |
100 | null | 1867-5662 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lin Hu | 1 | 0 | 0.34 |
| Youming Liu | 2 | 7 | 2.68 |