2011
DOI: 10.1088/0266-5611/27/11/115006
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Sweep data of electrical impedance tomography

Abstract: This work considers electrical impedance tomography in the special case that the boundary measurements of current and voltage are carried out with two (infinitely) small electrodes. One of the electrodes lies at a fixed position while the other is moved along the object boundary in a sweeping motion, with the corresponding measurement being the (relative) potential difference required for maintaining a unit current between the two electrodes. Assuming that the two-dimensional object of interest has constant ba… Show more

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Cited by 6 publications
(25 citation statements)
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“…where δ z denotes the delta distribution at z on ∂D. This is a generalization of the concept of (standard) sweep data from [11], or the other way around, sweep data are the restriction of bisweep data onto ∂D × {y 0 } for some fixed y 0 ∈ ∂D. What is more, the bisweep data can be approximated by two-electrode measurements in the framework of the realistic complete electrode model [13].…”
Section: The Setting and Main Resultsmentioning
confidence: 99%
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“…where δ z denotes the delta distribution at z on ∂D. This is a generalization of the concept of (standard) sweep data from [11], or the other way around, sweep data are the restriction of bisweep data onto ∂D × {y 0 } for some fixed y 0 ∈ ∂D. What is more, the bisweep data can be approximated by two-electrode measurements in the framework of the realistic complete electrode model [13].…”
Section: The Setting and Main Resultsmentioning
confidence: 99%
“…Notice that σ * is a feasible conductivity, i.e., it is strictly positive definite and equals one in some interior neighborhood of ∂B, due to the basic properties of conformal mappings (cf. [11,Section 3]). By definition,ς σ * =ς σ whereς σ * is the angular sweep data for σ * on ∂B defined by (15) andς σ is given by (16).…”
Section: 2mentioning
confidence: 99%
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“…i · ∇u 0 j } 1≤i≤j≤N is a family of linearly independent functions on any nonempty Lipschitz domain Ω D. Proof. In this simple geometry, it is known that (see, e.g., [12])…”
Section: Construction Of Invisible Conductivities In Two Dimensionsmentioning
confidence: 99%