| Presentation | 2001/7/20 Tomographic image reconstruction from a limited number of projection by using duality of non-linear programing problem Meihua LI, Hiroyuki KUDO, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper, based on the duality of the nonlinear programming, proposes an accurate row-action type iterative method which is appropriate to reconstruct sparse objects from a limited number of projections. The cost function we use is the L_p norm. When p ≈ 1.1, L_p norm is both convex and differentiable so that we can use the duality of the nonlinear programming to construct an iterative solution method. Furthermore, p ≈ 1.1 allows to pick up a sparse solution from a set of feasible solutions to the measurement equation. The method we propose is just the ART method when p=2. Additionally, we add the bound constraint condition with the nonlinear programming to pick up a solution which is more close to the true solution. At last, we also show that this method works well in the 3-D blood-vessel reconstruction from a limited number of projection. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | transmission tomography / emission tomography / cost function / ART method / dual method |
| Paper # | MI2001-24 |
| Date of Issue |
| Conference Information | |
| Committee | MI |
|---|---|
| Conference Date | 2001/7/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Medical Imaging (MI) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Tomographic image reconstruction from a limited number of projection by using duality of non-linear programing problem |
| Sub Title (in English) | |
| Keyword(1) | transmission tomography |
| Keyword(2) | emission tomography |
| Keyword(3) | cost function |
| Keyword(4) | ART method |
| Keyword(5) | dual method |
| 1st Author's Name | Meihua LI |
| 1st Author's Affiliation | Doctoral Program in Engineering, University of Tsukuba() |
| 2nd Author's Name | Hiroyuki KUDO |
| 2nd Author's Affiliation | Institute of Information Sciences and Electronics, University of Tsukuba |
| Date | 2001/7/20 |
| Paper # | MI2001-24 |
| Volume (vol) | vol.101 |
| Number (no) | 239 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |