Mathematical modeling of mechanical vibration-assisted conductivity imaging

Habib Ammari, Eunjung Lee, Hyeuknam Kwon, Jin Keun Seo, Eung Je Woo

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This paper aims at mathematically modeling a new multiphysics conductivity imaging system incorporating mechanical vibrations simultaneously applied to an imaging object together with current injections. We perturb the internal conductivity distribution by applying time-harmonic mechanical vibrations on the boundary. This enhances the effects of any conductivity discontinuity on the induced internal current density distribution. Unlike other conductivity contrast enhancing frameworks, it does not require a prior knowledge of a reference datum. In this paper, we provide a mathematical framework for this novel imaging modality. As an application of the vibrationassisted impedance imaging framework, we propose a new breast image reconstruction method in electrical impedance tomography. As another application, we investigate a conductivity anomaly detection problem and provide an efficient location search algorithm. We show both theoretically and numerically that the applied mechanical vibration increases the data sensitivity to the conductivity contrast and enhances the quality of reconstructed images and anomaly detection results. For numerous applications in impedance imaging, the proposed multiphysics method opens a new difference imaging area called vibration-difference imaging, which can augment the time-difference and also frequency-difference imaging methods for sensitivity improvements.

Original languageEnglish
Pages (from-to)1031-1046
Number of pages16
JournalSIAM Journal on Applied Mathematics
Volume75
Issue number3
DOIs
Publication statusPublished - 2015 Jan 1

Fingerprint

Mathematical Modeling
Conductivity
Vibration
Imaging
Imaging techniques
Multiphysics
Anomaly Detection
Impedance
Internal
Electrical Impedance Tomography
Acoustic impedance
Image Reconstruction
Image reconstruction
Prior Knowledge
Imaging System
Imaging systems
Modality
Search Algorithm
Tomography
Discontinuity

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

Ammari, Habib ; Lee, Eunjung ; Kwon, Hyeuknam ; Seo, Jin Keun ; Woo, Eung Je. / Mathematical modeling of mechanical vibration-assisted conductivity imaging. In: SIAM Journal on Applied Mathematics. 2015 ; Vol. 75, No. 3. pp. 1031-1046.
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Mathematical modeling of mechanical vibration-assisted conductivity imaging. / Ammari, Habib; Lee, Eunjung; Kwon, Hyeuknam; Seo, Jin Keun; Woo, Eung Je.

In: SIAM Journal on Applied Mathematics, Vol. 75, No. 3, 01.01.2015, p. 1031-1046.

Research output: Contribution to journalArticle

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