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Journal article
Stability and Reconstruction of a Special Type of Anisotropic Conductivity in Magneto-Acoustic Tomography with Magnetic Induction
SIAM JOURNAL ON IMAGING SCIENCES, v 16(2), p614
2023
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Abstract
We consider the issues of stability and reconstruction of the electrical anisotropic conductivity of biological tissues in a domain \Omega \subset R3 by means of the hybrid inverse problem of magneto-acoustic tomography with magnetic induction (MAT-MI). The class of anisotropic conductivities considered here is of type \sigma (& BULL;) = A(& BULL;, \gamma (& BULL;)) in \Omega , where [\lambda - 1, \lambda ] \ni t & iota;- A(& BULL;, t) is a one-parameter family of matrixvalued functions which are a priori known to be C1,\beta , allowing us to stably reconstruct \gamma in \Omega in terms of an internal functional F(\sigma ). Our results also extend previous results in MAT-MI where \sigma (& BULL;) = \gamma (& BULL;)D(& BULL;), with D an a priori known matrix-valued function on \Omega to a more general anisotropic structure which depends nonlinearly on the scalar function \gamma to be reconstructed.
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Details
- Title
- Stability and Reconstruction of a Special Type of Anisotropic Conductivity in Magneto-Acoustic Tomography with Magnetic Induction
- Publication Details
- SIAM JOURNAL ON IMAGING SCIENCES, v 16(2), p614
- Publisher
- SIAM PUBLICATIONS; PHILADELPHIA
- Grant note
- The work of the first and second authors was supported by Irish Research Council grant GOIPG/2021/527. The work of the second author was also partially supported by Science Foundation Ireland grant 16/RC/3918. The work of the third author was partially supported by National Science Foundation grant DMS-2008441.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Drexel University
- Web of Science ID
- WOS:001040728900001
- Scopus ID
- 2-s2.0-85180374373
- Other Identifier
- 991021860728504721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Computer Science, Artificial Intelligence
- Computer Science, Software Engineering
- Imaging Science & Photographic Technology
- Mathematics, Applied