Electrical resistivity tomography is a non-linear and ill-posed geophysical inverse problem that usually solved through gradient-descent methods. This strategy computationally fast easy to implement but impedes accurate uncertainty appraisals. We present probabilistic approach two-dimensional electrical in which Markov chain Monte Carlo algorithm used numerically evaluate the posterior probabil...

We introduce an approach for the stochastic characterization of geometric and hydraulic parameters a three-dimensional (3D) discrete fracture network (DFN) estimating their uncertainty based on data from tomography experiments. The inversion relies Bayesian framework resulting posterior distribution is characterized by generating samples Markov chain Monte Carlo (MCMC) methods. method evaluated...

A noninvasive optical technique has been developed for imaging in vivo blood flow dynamics and vessel structure with high spatial resolution. The technique is based on optical Doppler tomography, which combines Doppler velocimetry with optical coherence tomography to measure blood flow velocity at discrete spatial locations in turbid biological tissue. Applications of this technique for monitor...

Quantitative electron tomography is proposed to characterize porous materials at a nanoscale. To achieve reliable three-dimensional (3D) quantitative information, the influence of missing wedge artifacts and segmentation methods is investigated. We are presenting the "Discrete Algebraic Reconstruction Algorithm" as the most adequate tomography method to measure porosity at the nanoscale. It pro...

We address the problem of uniquely reconstructing F-type icosahedral quasicrystals from few images produced by quantitative high resolution transmission electron microscopy and explain recent results in the discrete tomography of these sets.

Electron tomography is a powerful technique that enables to determine the 3D internal structure of a sample from a tilt series of 2D projections. Although current aberration-corrected transmission electron microscopes can achieve a resolution of 0.5 Å, radiation damage, projection misalignment and the “missing wedge” problem (i.e. specimens cannot usually be tilted beyond ±79°) have previously ...