Fast imaging of partially conductive linear cracks using impedance data

@article{Bryan2006FastIO,
  title={Fast imaging of partially conductive linear cracks using impedance data},
  author={Kurt Bryan and Janine Haugh and David McCune},
  journal={Inverse Problems},
  year={2006},
  volume={22},
  pages={1337-1358}
}
We develop two closely-related fast and simple numerical algorithms to address the inverse problem of identifying a collection of disjoint linear cracks in a two-dimensional homogeneous electrical conductor from exterior boundary voltage/current measurements. We allow the possibility that the cracks are partially conductive. Our approach also allows us to determine the actual number of cracks present, as well as make use of one or multiple input fluxes. We illustrate our algorithms with a… 
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References

SHOWING 1-10 OF 21 REFERENCES
Imaging of multiple linear cracks using impedance data
This paper develops a fast, simple algorithm for locating one or more perfectly insulating, pair-wise disjoint, linear cracks in a homogeneous two-dimensional electrical conductor, using…
A computational algorithm to determine cracks from electrostatic boundary measurements
Abstract We consider the problem of determining the location and the size of a linear crack in an electrically conducting two dimensional medium. The probing device consists of a single pair of…
RECONSTRUCTION OF MULTIPLE CRACKS FROM EXPERIMENTAL ELECTROSTATIC BOUNDARY MEASUREMENTS
This paper describes an algorithm for recovering a collection of linear cracks in a homogeneous electrical conductor from boundary measurements of voltages induced by specified current fluxes. The…
Unique Determination of Multiple Cracks by Two Measurements
We study the inverse problem of determining multiple cracks in a planar conductor by electrostatic measurements at the boundary. We prove that two measurements at the boundary suffice to identify…
Crack determination from boundary measurements—Reconstruction using experimental data
In this work we assess the effectiveness of Electrical Impedance Tomography for determining the presence and the location of an interior crack from boundary measurements. Electrical Impedance…
Identification of 2D cracks by elastic boundary measurements
The purpose of this work is to identify two-dimensional (2D) cracks by means of elastic boundary measurements. A uniqueness result is first proved in the general case, as well as the local…
Unique determination of a collection of a finite number of cracks from two boundary measurements
We consider the problem of identification of a collection of a finite number of cracks in a planar domain. It is proved that the location and shape of any finite number of cracks can be determined…
Recovery of cracks using a point-source reciprocity gap function
In this work we consider the recovery of internal cracks from boundary measurements. We will use a function that we call point-source reciprocity gap function, which may be obtained as a particular…
A semi-explicit algorithm for the reconstruction of 3D planar cracks
This paper deals with a semi-explicit algorithm to reconstruct two-dimensional (2D) segment cracks, or three-dimensional (3D) planar cracks, in the framework of overspecified boundary data. The…
Identification of simple poles via boundary measurements and an application of EIT
We consider the problem of identifying simple poles of a meromorphic function by means of the value of the function measured on a circle enclosing those poles. We propose an algorithm for this…
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