A Parametric Level set Method for Imaging Multiphase Conductivity Using Electrical Impedance Tomography

Less is often more: Applied inverse problems using hp-forward models

“…As a representative picture, applied inverse problems in the physical sciences vary from implementing gravitational wave data to solve the relativistic inverse stellar problem [19] to imaging volcano cross sections using EIT and muon imaging [20] to protein structure prediction [21]. Applications of applied inverse problems in engineering are quite diverse; including use cases in structural health monitoring [22,23,24,25], hydraulic tomography [26,27,28], multiphase flow tomography [29,30], materials characterization [31,32], petroleum reservoir characterization [33], and many more.…”

B-Spline-Based Sharp Feature Preserving Shape Reconstruction Approach for Electrical Impedance Tomography

“…Such processes usually involve reformulating the problem of conductivity reconstruction as an inverse problem for a special geometrical representation of embedded objects. Among the approaches that have been applied are level sets [11]- [14], truncated Fourier series [15]- [18], shape perturbation method [19] and geometric constraint method [20], etc.…”

Two-Dimensional Temperature Measurement in a High-Temperature and High-Pressure Combustor Using Computed Tomography Tunable Diode Laser Absorption Spectroscopy (CT-TDLAS) with a Wide-Scanning Laser at 1335–1375 nm

“…The measurement errors depend on the factors such as laser beams number, view angles, CT-algorithm, uncertainty of spectral database, and so on. 17–20 There are various CT reconstruction methods, 33–36 such as the algebraic reconstruction technique (ART), the multiplicative algebraic reconstruction technique (MART), Gauss–Newton's algorithm, and so on. Usually, the reconstruction of 2D spatial scale distribution is determined according to the rectangular coordinate.…”