Abstract
The aim of this paper is to propose an optimal control optimization algorithm for reconstructing admittivity distributions (i.e., both conductivity and permittivity) from multi-frequency micro-electrical impedance tomography. A convergent and stable optimal control scheme is shown to be obtainable from multi-frequency data. This opens a door for convergence analysis of optimal control type approaches in imaging from internal data. The results of this paper have potential applicability in cancer imaging, cell culturing and differentiation, food sciences, and biotechnology.
| Original language | English |
|---|---|
| Pages (from-to) | 1601-1618 |
| Number of pages | 18 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 449 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 15 May 2017 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- Imaging from internal data
- Landweber algorithm
- Micro-electrical impedance tomography
- Multi-frequency measurements
- Optimal control
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