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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Linearised inverse conductivity problem: reconstruction and Lipschitz stability for infinite-dimensional spaces of perturbations

## Linearised inverse conductivity problem: reconstruction and Lipschitz stability for infinite-dimensional spaces of perturbationsAdd to your list(s) Download to your calendar using vCal - Nuutti Hyvönen (Aalto University)
- Tuesday 28 March 2023, 09:50-10:40
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. RNTW02 - Rich and non-linear tomography in medical imaging, materials and non destructive testing The linearised inverse conductivity problem is investigated in a two-dimensional bounded simply connected domain with a smooth enough boundary. After extending the linearised problem for square integrable perturbations, the space of perturbations is orthogonally decomposed and Lipschitz stability, with explicit Lipschitz constants, is proven for each of the infinite-dimensional subspaces. The stability estimates are based on using the Hilbert-Schmidt norm for the Neumann-to-Dirichlet boundary map and its Fr{\’e}chet derivative with respect to the conductivity coefficient. A direct reconstruction method that inductively yields the orthogonal projections of a conductivity coefficient onto the aforementioned subspaces is devised and numerically tested with data simulated by solving the original nonlinear forward problem. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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