Uniqueness, shape, and dimension in EIT

William R B Lionheart

doi:10.1111/j.1749-6632.1999.tb09495.x

Uniqueness, shape, and dimension in EIT

Research output: Chapter in Book/Conference proceeding › Chapter

Abstract

We briefly review the known mathematical results on uniqueness of solution in electrical impedance tomography (EIT). Generally, a real or complex conductivity is determined uniquely by complete boundary data. Uniqueness results are also known for planar resistor networks. However, it is common to make gross errors in the forward modeling of the electrical fields and this may result in no consistent solution. In particular, two-dimensional model is often used when data are collected from a three-dimensional domain. The boundary shape is often inaccurately known, and commonly modeled by a circle. No model conductivity consistent with measured data exists when the dimension or the boundary shape is wrong.

Original language	English
Title of host publication	Annals of the New York Academy of Sciences\|Ann. New York Acad. Sci.
Pages	466-471
Number of pages	5
Volume	873
DOIs	https://doi.org/10.1111/j.1749-6632.1999.tb09495.x
Publication status	Published - 1999

Access to Document

10.1111/j.1749-6632.1999.tb09495.x

Cite this

@inbook{7e8c9aff48ab44f7858d0e2e9e22ee5b,

title = "Uniqueness, shape, and dimension in EIT",

abstract = "We briefly review the known mathematical results on uniqueness of solution in electrical impedance tomography (EIT). Generally, a real or complex conductivity is determined uniquely by complete boundary data. Uniqueness results are also known for planar resistor networks. However, it is common to make gross errors in the forward modeling of the electrical fields and this may result in no consistent solution. In particular, two-dimensional model is often used when data are collected from a three-dimensional domain. The boundary shape is often inaccurately known, and commonly modeled by a circle. No model conductivity consistent with measured data exists when the dimension or the boundary shape is wrong.",

author = "Lionheart, {William R B}",

year = "1999",

doi = "10.1111/j.1749-6632.1999.tb09495.x",

language = "English",

volume = "873",

pages = "466--471",

booktitle = "Annals of the New York Academy of Sciences|Ann. New York Acad. Sci.",

}

TY - CHAP

T1 - Uniqueness, shape, and dimension in EIT

AU - Lionheart, William R B

PY - 1999

Y1 - 1999

N2 - We briefly review the known mathematical results on uniqueness of solution in electrical impedance tomography (EIT). Generally, a real or complex conductivity is determined uniquely by complete boundary data. Uniqueness results are also known for planar resistor networks. However, it is common to make gross errors in the forward modeling of the electrical fields and this may result in no consistent solution. In particular, two-dimensional model is often used when data are collected from a three-dimensional domain. The boundary shape is often inaccurately known, and commonly modeled by a circle. No model conductivity consistent with measured data exists when the dimension or the boundary shape is wrong.

AB - We briefly review the known mathematical results on uniqueness of solution in electrical impedance tomography (EIT). Generally, a real or complex conductivity is determined uniquely by complete boundary data. Uniqueness results are also known for planar resistor networks. However, it is common to make gross errors in the forward modeling of the electrical fields and this may result in no consistent solution. In particular, two-dimensional model is often used when data are collected from a three-dimensional domain. The boundary shape is often inaccurately known, and commonly modeled by a circle. No model conductivity consistent with measured data exists when the dimension or the boundary shape is wrong.

U2 - 10.1111/j.1749-6632.1999.tb09495.x

DO - 10.1111/j.1749-6632.1999.tb09495.x

M3 - Chapter

VL - 873

SP - 466

EP - 471

BT - Annals of the New York Academy of Sciences|Ann. New York Acad. Sci.

ER -

Uniqueness, shape, and dimension in EIT

Abstract

Access to Document

Fingerprint

Cite this