A mathematical model and inversion procedure for magneto-acousto-electric tomography

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

Magneto-acousto-electric tomography (MAET), also known as the Lorentz force or Hall effect tomography, is a novel hybrid modality designed to be a high-resolution alternative to the unstable electrical impedance tomography. In this paper, we analyze the existing mathematical models of this method, and propose a general procedure for solving the inverse problem associated with the MAET. It consists in applying to the data one of the algorithms of thermo-acoustic tomography, followed by solving the Neumann problem for the Laplace equation and the Poisson equation. For the particular case when the region of interest is a cube, we present an explicit series solution resulting in a fast reconstruction algorithm. As we show, both analytically and numerically, the MAET is a stable technique yielding high-resolution images even in the presence of significant noise in the data.

Original languageEnglish (US)
Article number035002
JournalInverse Problems
Volume28
Issue number3
DOIs
StatePublished - 2012

Fingerprint

Tomography
Inversion
Mathematical Model
Mathematical models
High Resolution
Electrical Impedance Tomography
Hall Effect
Series Solution
Reconstruction Algorithm
Neumann Problem
Lorentz force
Region of Interest
Laplace's equation
Poisson's equation
Acoustic impedance
Laplace equation
Modality
Poisson equation
Fast Algorithm
Regular hexahedron

ASJC Scopus subject areas

  • Signal Processing
  • Computer Science Applications
  • Applied Mathematics
  • Mathematical Physics
  • Theoretical Computer Science

Cite this

A mathematical model and inversion procedure for magneto-acousto-electric tomography. / Kunyansky, Leonid.

In: Inverse Problems, Vol. 28, No. 3, 035002, 2012.

Research output: Contribution to journalArticle

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