Name
Abstract | ||
|---|---|---|
The filtered backprojection algorithm is still one of the most important reconstruction methods in computed tomography. It is based on explicit formulas for recovering mollified versions of the original unknown function. In this paper, we derive such formulas for the spherical mean Radon transform with centers restricted to the boundary of a ball. In two spatial dimensions we present an efficient implementation strategy that leads to a stable reconstruction algorithm of filtered backprojection type. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1137/110821561 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
Radon transform,regularization,filtered backprojection,photoacoustic tomography,spherical means | Mathematical optimization,Tomographic reconstruction,Photoacoustic tomography,Mathematical analysis,Spherical mean,Reconstruction algorithm,Regularization (mathematics),Computed tomography,Radon transform,Mathematics | Journal |
Volume | Issue | ISSN |
71 | 5 | 0036-1399 |
Citations | PageRank | References |
5 | 0.57 | 2 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Markus Haltmeier | 1 | 74 | 14.16 |