Solving an Inverse Diffusion Problem for Magnetic Resonance Dosimetry by a Fast Regularization Method
✍ Scribed by P. Barone; G. Sebastiani
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 271 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1077-2014
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✦ Synopsis
Solving an Inverse Diffusion Problem for Magnetic Resonance Dosimetry by a Fast Regularization Method
A n inverse diffusion problem that appears in Magnetic Resonance dosimetry is studied. The problem is shown to be equivalent to a deconvolution problem with a known kernel. To cope with the singularity of the kernel, nonlinear regularization functionals are considered which can provide regular solutions, reproduce steep gradients and impose positivity constraints. A fast deterministic algorithm for solving the involved non-convex minimization problem is used. Accurate restorations on real 2566256 images are obtained by the algorithm in a few minutes on a 266-MHz PC that allow to precisely quantitate the relative absorbed dose.