A Narrowband Level Set Method Applied to EIT in Brain for Cryosurgery Monitoring

Soleimani, Manuchehr and Dorn, Oliver and Lionheart, William RB (2006) A Narrowband Level Set Method Applied to EIT in Brain for Cryosurgery Monitoring. IEEE Transactions on Biomedical Engineering, 53 (11). 2257- 2264. ISSN 0018-9294

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In this paper we investigate the feasibility of applying a novel level set reconstruction technique to electrical imaging of the human brain. We focus particularly on the potential application of Electrical Impedance Tomography (EIT) to cryosurgery monitoring. In this application, cancerous tissue is treated by a local freezing technique using a small needle-like cryosurgery probe. The interface between frozen and non-frozen tissue can be expected to have a relatively high contrast in conductivity and we treat the inverse problem of locating and monitoring this interface during the treatment. A level set method is used as a powerful and flexible tool for tracking the propagating interfaces during the monitoring process. For calculating sensitivities and the Jacobian when deforming the interfaces we employ an adjoint formula rather than a direct differentiation technique. Particulary we are using a narrowband technique for this procedure. This combination of an adjoint technique and a narrowband technique for calculating Jacobians results in a computationally efficient and extremely fast method for solving the inverse problem. Moreover, due to the reduced number of unknowns in each step of the narrowband approach compared to a pixel- or voxel-based technique, our reconstruction scheme tends to be much more stable. We demonstrate that our new method also outperforms its pixel-/ voxel-based counterparts in terms of image quality in this application.

Item Type: Article
Uncontrolled Keywords: Level set method, shape reconstruction, inverse boundary value problem, Electrical Impedance Tomography, brain imaging, cryosurgery
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 47 Operator theory
MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 80 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY > 87 Biological and medical physics
Depositing User: Prof WRB Lionheart
Date Deposited: 25 Aug 2015
Last Modified: 20 Oct 2017 14:13
URI: https://eprints.maths.manchester.ac.uk/id/eprint/2369

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