Research on the total variation regularization algorithm for electrical capacitance tomography

To solve the ill-posed problem in electrical capacitance tomography (ECT), a total variation (TV) regularization algorithm is proposed, in which a variation function of common boundary between different media is constructed, and introduced as a regularization penalty term in ECT image reconstruction. Simulation results show that the proposed TV regularization algorithm (based on ℓ1 regularization) makes the inverse problem well-posed; more important, compared with conventional ℓ2 Tikhonov regularization, it improves the quality of the reconstruction image for discontinuous media distribution areas, and leads to the common boundary between different media clearer.

[1]  Tony F. Chan,et al.  High-Order Total Variation-Based Image Restoration , 2000, SIAM J. Sci. Comput..

[2]  D. Dobson,et al.  An image-enhancement technique for electrical impedance tomography , 1994 .

[3]  Brian S. Hoyle,et al.  Electrical capacitance tomography for flow imaging: system model for development of image reconstruction algorithms and design of primary sensors , 1992 .

[4]  F. Garcia-Nocetti,et al.  Visualisation of gas–oil two-phase flows in pressurised pipes using electrical capacitance tomography , 2005 .

[5]  Yassir Makkawi,et al.  Electrical capacitance tomography for conventional fluidized bed measurements - remarks on the measuring technique , 2004 .

[6]  Michael L. Overton,et al.  Computing Limit Loads by Minimizing a Sum of Norms , 1998, SIAM J. Sci. Comput..

[7]  William Robert Breckon.  Image reconstruction in electrical impedance tomography , 1990 .

[8]  Roland Martin,et al.  Inversion of electrical capacitance tomography data by simulated annealing: Application to real two-phase gas-oil flow imaging , 2005 .

[9]  Sankaran Sundaresan,et al.  Electrical capacitance tomography measurements on vertical and inclined pneumatic conveying of granular solids , 2003 .

[10]  Tomasz Dyakowski,et al.  Application of electrical capacitance tomography for measurement of gas-solids flow characteristics in a pneumatic conveying system , 2001 .

[11]  L. Landweber.  An iteration formula for Fredholm integral equations of the first kind , 1951 .

[12]  Michael L. Overton,et al.  An Efficient Primal-Dual Interior-Point Method for Minimizing a Sum of Euclidean Norms , 2000, SIAM J. Sci. Comput..

[13]  Andy Adler,et al.  Electrical impedance tomography: regularized imaging and contrast detection , 1996, IEEE Trans. Medical Imaging.

[14]  Andrea Borsic,et al.  Generation of anisotropic-smoothness regularization filters for EIT , 2002, IEEE Transactions on Medical Imaging.

[15]  Kwang Youn Kim,et al.  Modified iterative Landweber method in electrical capacitance tomography , 2006 .

[16]  Trevor A. York,et al.  Status of electrical tomography in industrial applications , 2001, SPIE Optics East.

[17]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .