Calculation and simulation of the Jacobi matrix in electrical impedance tomography

Shujun Chen; Ge Kou; Aixia Jiang

doi:10.1117/12.806993

2 February 2009 Calculation and simulation of the Jacobi matrix in electrical impedance tomography

Shujun Chen, Ge Kou, Aixia Jiang

Proceedings Volume 7160, 2008 International Conference on Optical Instruments and Technology: Optoelectronic Measurement Technology and Applications; 71602F (2009) https://doi.org/10.1117/12.806993
Event: International Conference of Optical Instrument and Technology, 2008, Beijing, China

Abstract

Electrical impedance tomography is a kind of functional imaging technique making full use of human resistance carried by physiological and pathological information. However, the image reconstruction in EIT is a high ill-posed, non-linear, inverse problem, and it becomes a key and difficult point in EIT research. The calculation of Jacobi matrix in EIT is as the representive, for it requires several forward solutions to be computed. The paper focuses on the Jacobi matrix calculation method in order to reduce EIT computation based on disadvantages above. The Jacobi matrix is different when the electrode position and serial number are different in the finite element model. Jacobi formula is derived from the Newton-Raphson and the standard derivation method is adopted by comparing with the normal method, and it reduces the computation time effectively. Finally, the computer simulation and comparability of Jacobi matrix is given.

Citation Download Citation

Shujun Chen, Ge Kou, and Aixia Jiang "Calculation and simulation of the Jacobi matrix in electrical impedance tomography", Proc. SPIE 7160, 2008 International Conference on Optical Instruments and Technology: Optoelectronic Measurement Technology and Applications, 71602F (2 February 2009); https://doi.org/10.1117/12.806993

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