State reconstruction by on/off measurements

Optimal Reconstruction of a Pure Qubit State with Local Measurements

We analyse the reconstruction of an unknown pure qubit state. We derive the optimal guess that can be inferred from any set of measurements on N identical copies of the system with the fidelity as a figure of merit. We study in detail the estimation process with individual von Neumann measurements and demonstrate that they are very competitive as compared to (complicated) collective measurement...

Reconstruction of Polygonal Cavities by Two Boundary Measurements

Reconstruction procedure for identifying an unknown polygonal cavity inside a homogeneous, isotropic conductive medium from two boundary measurements is given. The assumptions of the cavity is that there are at most one concave vertex between two convex vertices and the vertices are well separated. The Neumann data of the boundary measurement can change sign at most once and the sets on which o...

Reconstruction of complex cracks by far field measurements

In this paper, we deal with the acoustic inverse scattering problem for reconstructing complex cracks from the far field map. The scattering problem models the diffraction of waves by thin two-sided cylindrical screens. A complex crack is characterized by its shape, the type of boundary conditions and the boundary coefficients (surface impedance). We give explicit formulas which can be used to ...

Joint 4-d Variational Stereo Reconstruction and Camera Calibration Refinement for Oceanic Sea State Measurements

Validating modern oceanographic theories using models produced through stereo computer vision principles has recently emerged. Space-time (4-D) models of the ocean surface may be generated by stacking a series of 3-D reconstructions independently generated for each time instant or, in a more robust manner, by simultaneously processing several snapshots coherently in a true "4-D reconstruction."...

State Reconstruction In Nonlinear Stochastic Systems By Extended Kalman Filter