Weighted least-squares criteria for electrical impedance tomography
- 1 June 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Medical Imaging
- Vol. 11 (2) , 284-292
- https://doi.org/10.1109/42.141653
Abstract
Methods are developed for the design of electrical impedance tomographic reconstruction algorithms with specified properties. Assuming a starting model with constant conductivity or some other specified background distribution, an algorithm with the following properties is found. (1) The optimum constant for the starting model is determined automatically. (2) The weighted least-squares error between the predicted and measured power dissipation data is as small as possible. (3) The variance of the reconstructed conductivity from the starting model is minimized. (4) Potential distributions with the largest volume integral of gradient squared have the least influence on the reconstructed conductivity, and therefore distributions most likely to be corrupted by contact impedance effects are deemphasized. (5) Cells that dissipate the most power during the current injection tests tend to deviate least from the background value. For a starting model with nonconstant conductivity, the reconstruction algorithm has analogous properties.Keywords
This publication has 26 references indexed in Scilit:
- Convexity properties of inverse problems with variational constraintsJournal of the Franklin Institute, 1991
- Variational constraints for electrical-impedance tomographyPhysical Review Letters, 1990
- Inverse scattering, seismic traveltime tomography, and neural networksInternational Journal of Imaging Systems and Technology, 1990
- Stable iterative reconstruction algorithm for nonlinear traveltime tomographyInverse Problems, 1990
- Errors due to measuring voltage on current-carrying electrodes in electric current computed tomographyIEEE Transactions on Biomedical Engineering, 1990
- Fermat’s principle and nonlinear traveltime tomographyPhysical Review Letters, 1989
- Applications of seismic travel-time tomographyGeophysical Journal International, 1987
- Common Structure of Smoothing Techniques in StatisticsInternational Statistical Review, 1985
- Analysis of electrical conductivity imagingGeophysics, 1981
- Iterative Ray Tracing between Boreholes for Underground Image ReconstructionIEEE Transactions on Geoscience and Remote Sensing, 1980