A Set Optimization Technique for Domain Reconstruction from Single-Measurement Electrical Impedance Tomography Data

Bastian Harrach, Janosch Rieger

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Research

Abstract

We propose and test a numerical method for the computation of the convex source support from single-measurement electrical impedance tomography data. Our technique is based on the observation that the convex source support is the unique minimum of an optimization problem in the space of all convex and compact subsets of the imaged body.
Original languageEnglish
Title of host publication2017 MATRIX Annals
EditorsDavid R Wood, Jan de Gier, Cheryl Praeger, Terence Tao
Place of PublicationCham Switzerland
PublisherSpringer
Pages37-49
Number of pages13
Edition2
ISBN (Electronic)9783030041618
ISBN (Print)9783030041618
DOIs
Publication statusPublished - 14 Mar 2019

Publication series

NameMATRIX Book Series
PublisherSpringer
Number2
ISSN (Print)2523-3041
ISSN (Electronic)2523-305X

Cite this

Harrach, B., & Rieger, J. (2019). A Set Optimization Technique for Domain Reconstruction from Single-Measurement Electrical Impedance Tomography Data. In D. R. Wood, J. de Gier, C. Praeger, & T. Tao (Eds.), 2017 MATRIX Annals (2 ed., pp. 37-49). (MATRIX Book Series; No. 2). Springer. https://doi.org/10.1007/978-3-030-04161-8_4