Nonstationary phase boundary estimation in electrical impedance tomography using unscented Kalman filter

Boundary Estimation Techniques in Two-phase Flows using Electrical Impedance Tomography: A Review

“…The Fourier coefficients are estimated using boundary element method approach with Levenberg-Marquardt method. Several approaches are applied to elliptic PDE problems where the boundary is recovered based on the data from the exterior boundary using certain boundary conditions [8][9][10][11][12][13][14][15]. The methods presented in the above papers are based on specific elliptic PDE problems and the boundary is recovered by using certain boundary conditions and the data from the exterior domain boundary.…”

“…A more attractive method is presented by 6789abcdefd 78d !b"#$%&'() '* !+, -./01234d56!7 8 9 d51:;b<=>? @A)B'C.60 Kim et al [12] and later by Ijaz et al [13] in which the interfacial boundary surface is parameterized with discrete front points and the front point locations are unknowns to be estimated. The mesh is fixed while the interfacial boundary surface along with the end points varies with respect to time.…”

“…7 Reconstructed phase boundaries for experimental data with a circular plastic rod. Solid, dotted and dashed lines represent the true boundary, boundary estimated by EKF, and boundary estimated by UKF, respectively [13].…”

“…In regard to the application of UKF in EIT, non-stationary region boundaries are estimated in the flow field as an application of tracking bubbles in industrial process [13]. Numerical simulations with circular target evolving randomly inside the phantom are considered.…”

“…UKF tries to estimate the Gaussian distribution rather than directly approximating the nonlinear function. Given the linear state equation and non linear observation equation, UKF for boundary estimation is presented for closed and open boundary problem [13,37]. Fig.…”