[BOOK][B] Mathematical and statistical methods for multistatic imaging
In multistatic imaging one uses waves to probe for information about an unknown medium.
These waves can be acoustic, elastic, or electromagnetic. They can be at zero-frequency …
These waves can be acoustic, elastic, or electromagnetic. They can be at zero-frequency …
Topological derivatives of shape functionals. Part I: theory in singularly perturbed geometrical domains
Mathematical analysis and numerical solutions of problems with unknown shapes or
geometrical domains is a challenging and rich research field in the modern theory of the …
geometrical domains is a challenging and rich research field in the modern theory of the …
[BOOK][B] Applications of the topological derivative method
AA Novotny, J Sokołowski, A Żochowski - 2019 - Springer
The topological derivative method is recognized as a robust numerical technique in
engineering applications such as topology optimization, inverse problems, imaging …
engineering applications such as topology optimization, inverse problems, imaging …
[BOOK][B] An introduction to the topological derivative method
AA Novotny, J Sokołowski - 2020 - Springer
Mathematical analysis and numerical solutions of problems with unknown shapes is a
challenging and rich research field in the modern theory of calculus of variations, partial …
challenging and rich research field in the modern theory of calculus of variations, partial …
Recovering scattering obstacles by multi-frequency phaseless far-field data
B Zhang, H Zhang - Journal of Computational Physics, 2017 - Elsevier
It is well known that the modulus of the far-field pattern (or phaseless far-field pattern) is
invariant under translations of the scattering obstacle if only one plane wave is used as the …
invariant under translations of the scattering obstacle if only one plane wave is used as the …
Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks in full-and limited-view inverse scattering problems
WK Park - Journal of Computational Physics, 2015 - Elsevier
Multi-frequency subspace migration imaging techniques are usually adopted for the non-
iterative imaging of unknown electromagnetic targets, such as cracks in concrete walls or …
iterative imaging of unknown electromagnetic targets, such as cracks in concrete walls or …
Locating multiple multiscale acoustic scatterers
We develop three inverse scattering schemes for locating multiple multiscale acoustic
scatterers in a very general and practical setting. For all of the three locating schemes, only …
scatterers in a very general and practical setting. For all of the three locating schemes, only …
On the application of orthogonality sampling method for object detection in microwave imaging
WK Park - IEEE Transactions on Antennas and Propagation, 2022 - ieeexplore.ieee.org
We consider a further development of the orthogonality sampling method (OSM) for a fast
localization of small object in microwave imaging (MI). In contrast to the scenarios …
localization of small object in microwave imaging (MI). In contrast to the scenarios …
Experimental validation of the topological sensitivity approach to elastic-wave imaging
R Tokmashev, A Tixier, BB Guzina - Inverse Problems, 2013 - iopscience.iop.org
In this study the method of topological sensitivity (TS) for solving inverse scattering
problems, previously supported by a broad set of numerical simulations, is put to test …
problems, previously supported by a broad set of numerical simulations, is put to test …
A new non-iterative reconstruction method for the electrical impedance tomography problem
The electrical impedance tomography (EIT) problem consists in determining the distribution
of the electrical conductivity of a medium subject to a set of current fluxes, from …
of the electrical conductivity of a medium subject to a set of current fluxes, from …