EIT Images of Human Inspiration and Expiration using a D-bar Method with Spatial Priors
Keywords:
EIT Images, D-bar MethodAbstract
The inclusion of a spatial prior in the high-frequency regime of the scattering transform for the 2-D D-bar method for electrical impedance tomography is studied for use with human subject data. The effects and balance of the two regularization parameters for the inverse problem are studied. Results on data from human volunteers reveal improved spatial resolution when compared to inspiratory and expiratory CT scans.
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A. I. Nachman, “Global uniqueness for a two-dimensional inverse boundary value problem,” Ann. Math., vol. 143, no. 1, pp. 71–96, 1996.
E. Costa, R. Gonzalez Lima, and M. Amato, “Electrical impedance tomography,” in Intensive Care Medicine (J. Vincent, ed.), pp. 394– 404, Springer, New York, 2009.
D. Nguyen, J. C. Thiagalingam, and A. A. McEwan, “A review on electrical impedance tomography for pulmonary perfusion imaging,” Physiol. Meas., vol. 33, no. 5, pp. 695–706, 2012.
N. J. Avis and D. C. Barber, “Incorporating a priori information into the Sheffield filtered backprojection algorithm,” Physiol. Meas., vol. 16, no. 3A, pp. A111–A122, 1995.
U. Baysal and B. M. Eyuboglu, “Use of a priori information in ¨ estimating tissue resistivities - a simulation study,” Phys. Med. and Biol., vol. 43, no. 12, pp. 3589–3606, 1998.
E. D. L. B. Camargo, “Development of an absolute electrical impedance imaging algorithm for clinical use,” PhD thesis, University of Sao Paulo, ˜ 2013.
H. Dehghani, D. C. Barber, and I. Basarab-Horwath, “Incorporating a priori anatomical information into image reconstruction in electrical impedance tomography,” Physiol. Meas., vol. 20, no. 1, pp. 87–102, 1999.
D. C. Dobson and F. Santosa, “An image-enhancement technique for electrical impedance tomography,” Inverse Probl., vol. 10, no. 2, pp. 317–334, 1994.
D. Ferrario, B. Grychtol, A. Adler, J. Sola, S. H. Bohm, and M. Bodenstein, “Toward morphological thoracic EIT: Major signal sources correspond to respective organ locations in CT,” IEEE T. Med. Imaging, vol. 59, no. 11, pp. 3000–3008, 2012.
D. Flores-Tapia and S. Pistorius, “Electrical impedance tomography reconstruction using a monotonicity approach based on a priori knowledge,” in Engineering in Medicine and Biology Society (EMBC), 2010 Annual International Conference of the IEEE, pp. 4996–4999, Aug. 2010.
J. P. Kaipio, V. Kolehmainen, M. Vauhkonen, and E. Somersalo, “Inverse problems with structural prior information,” Inverse Probl., vol. 15, no. 3, p. 713, 1999.
K. Y. Kim, S. I. Kang, M. C. Kim, S. Kim, Y. J. Lee, and M. Vauhkonen, “Dynamic image reconstruction in electrical impedance tomography with known internal structures,” IEEE Transactions on Magnetics, vol. 38, pp. 1301–1304, Mar. 2002.
F. S. Moura, J. C. C. Aya, A. T. Fleury, M. B. P. Amato, and R. G. Lima, “Dynamic imaging in electrical impedance tomography of the human chest with online transition matrix identification,” IEEE Transactions on Biomedical Engineering, vol. 57, pp. 422–431, Feb. 2010.
M. Soleimani, “Electrical impedance tomography imaging using a priori ultrasound data,” BioMed. Eng. OnLine, vol. 5, no. 8, 2006.
M. Vauhkonen, D. Vadasz, P. A. Karjalainen, E. Somersalo, and J. P. Kaipio, “Tikhonov regularization and prior information in electrical impedance tomography,” IEEE T. Med. Imaging, vol. 17, no. 2, pp. 285–293, 1998.
M. Dodd and J. Mueller, “A real-time D-bar algorithm for 2-D electrical impedance tomography data,” Inverse Probl. Imag., vol. 8, no. 4, pp. 1013–1031, 2014.
J. Mueller, P. Muller, M. Mellenthin, E. DeBoer, R. Murthy, M. Capps, M. Alsaker, R. Deterding, and S. Sagel, “A method of estimating regions of air trapping from electrical impedance tomography data,” Physiological Measurement, vol. 39, no. 5, p. 05NT01, 2018.
P. Muller, J. Mueller, M. Mellenthin, R. Murthy, M. Capps, B. Wagner, M. Alsaker, R. Deterding, S. Sagel, and J. Hoppe, “Evaluation of surrogate measures of pulmonary function derived from electrical impedance tomography data in children with cystic fibrosis,” Physiological Measurement, vol. 39, no. 4, p. 045008, 2018.
M. Alsaker and J. Mueller, “A D-bar algorithm with a priori information for 2-dimensional electrical impedance tomography,” SIAM J. Imaging Sci., vol. 9, no. 4, pp. 1619–1654, 2016.
M. Alsaker and J. L. Mueller, “Use of an optimized spatial prior in d-bar reconstructions of EIT tank data,” In review, 2017.
J. L. Mueller and S. Siltanen, Linear and Nonlinear Inverse Problems with Practical Applications. Philadelphia, PA: SIAM, 2012.
L. D. Faddeev, “Increasing solutions of the schroedinger equation,” Sov. Phys. Dokl., vol. 10, pp. 1033–1035, 1966.
D. Isaacson, J. L. Mueller, J. C. Newell, and S. Siltanen, “Imaging cardiac activity by the D-bar method for electrical impedance tomography,” Physiol. Meas., vol. 27, no. 5, pp. S43–S50, 2006.
M. Mellenthin, J. Mueller, E. de Camargo, F. de Moura, T. Santos, R. Lima, S. Hamilton, P. Muller, and M. Alsaker, “The ACE1 electrical impedance tomography system for thoracic imaging,” IEEE Transactions on Instrumentation and Measurement, p. to appear, 2018.
B. M. Eyuboglu, B. H. Brown, and D. C. Barber, “Limitations to SV determination from APT images,” in Images of the TwentyFirst Century. Proceedings of the Annual International Engineering in Medicine and Biology Society, pp. 442–443 vol. 2, Nov. 1989.
R. Guardo, C. Boulay, B. Murray, and M. Bertrand, “An experimental study in electrical impedance tomography using backprojection reconstruction,” IEEE Transactions on Biomedical Engineering, vol. 38, pp. 617–627, July 1991.
K. S. Rabbani and A. M. B. H. Kabir, “Studies on the effect of the third dimension on a two-dimensional electrical impedance tomography system,” Clinical Physics and Physiological Measurement, vol. 12, no. 4, p. 393, 1991.
R. S. Blue, D. Isaacson, and J. C. Newell, “Real-time three-dimensional electrical impedance imaging,” Physiological Measurement, vol. 21, no. 1, p. 15, 2000.
R. Takazakura, M. Takahashi, N. Nitta, and K. Murata, “Diaphragmatic motion in the sitting and supine positions: Healthy subject study using a vertically open magnetic resonance system,” Journal of Magnetic Resonance Imaging, vol. 19, no. 5, pp. 605–609, 2004.
