Kwee, IW and Tanikawa, Y and Proskurin, S and Arridge, SR and Delpy, DT and Yamada, Y (1996) Nullspace regularization and MAP reconstruction in the ill-posed inverse imaging problem. PHOTON PROPAGATION IN TISSUES II, PROCEEDINGS OF , 2925 43 - 54.
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Abstract
The ill-posed inverse problem is not an issue that is only restricted to optical tomography, but indeed a very common issue in image reconstruction problems in astronomy, geological surveying, and medical imaging in general. In this paper toe investigate the consequences of ill-posed problems, and show that correct reconstruction is generally not possible using conventional linear inversion techniques because latter methods disregard contributions of the nullspace. We describe the rationale of a novel image reconstruction method that estimates the nullspace contibution using prior knowledge in a maximum-aposteriori-probability (MAP) framework. We illustrate our concept by an example of optical tomographic reconstruction from simulated and experimental data.
| Type: | Article |
|---|---|
| Title: | Nullspace regularization and MAP reconstruction in the ill-posed inverse imaging problem |
| Location: | VIENNA, AUSTRIA |
| Keywords: | optical tomography, image reconstruction, maximum a posteriori probability, ill-posed problems, Bayesian probability, prior knowledge |
| UCL classification: | UCL > School of BEAMS > Faculty of Engineering Science > Computer Science UCL > School of BEAMS > Faculty of Engineering Science > Medical Physics and Bioengineering |
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