Sparse reconstruction of log-conductivity in current density impedance tomography.

35R30 49J20 49K20 65M08 82C31 Inverse problems PDE-constrained optimization current density impedance imaging edge-enhancement proximal methods sparsity patterns

Journal

Journal of mathematical imaging and vision
ISSN: 0924-9907
Titre abrégé: J Math Imaging Vis
Pays: Netherlands
ID NLM: 101512096

Informations de publication

Date de publication:
Feb 2020
Historique:
entrez: 11 7 2020
pubmed: 11 7 2020
medline: 11 7 2020
Statut: ppublish

Résumé

A new non-linear optimization approach is proposed for the sparse reconstruction of log-conductivities in current density impedance imaging. This framework comprises of minimizing an objective functional involving a least squares fit of the interior electric field data corresponding to two boundary voltage measurements, where the conductivity and the electric potential are related through an elliptic PDE arising in electrical impedance tomography. Further, the objective functional consists of a

Identifiants

pubmed: 32647406
doi: 10.1007/s10851-019-00929-5
pmc: PMC7347294
mid: NIHMS1544096
doi:

Types de publication

Journal Article

Langues

eng

Pagination

189-205

Subventions

Organisme : NCI NIH HHS
ID : R21 CA242933
Pays : United States

Références

IEEE Trans Med Imaging. 2008 Sep;27(9):1301-9
pubmed: 18753045
IEEE Trans Med Imaging. 2002 Jun;21(6):695-702
pubmed: 12166867
IEEE Trans Biomed Eng. 2002 Feb;49(2):160-7
pubmed: 12066883
Phys Med Biol. 2002 Aug 7;47(15):2599-609
pubmed: 12200927
Clin Phys Physiol Meas. 1987;8 Suppl A:13-31
pubmed: 3568561
IEEE Trans Med Imaging. 1991;10(3):362-74
pubmed: 18222838
Asian Pac J Cancer Prev. 2014;15(3):1327-31
pubmed: 24606460

Auteurs

Madhu Gupta (M)

Department of Mathematics, University of Texas at Arlington, 655 W. Mitchell Street, 222H SEIR Building, Arlington, Texas-76010, USA.

Rohit Kumar Mishra (RK)

Department of Mathematics, University of Texas at Arlington, 655 W. Mitchell Street, 222B SEIR Building, Arlington, Texas-76010, USA.

Souvik Roy (S)

Department of Mathematics, University of Texas at Arlington, 655 W. Mitchell Street, 219 SEIR Building, Arlington, Texas-76010, USA.

Classifications MeSH