Noninvasive Imaging of Three-Dimensional Micro and Nanostructures by Topological Methods

DOI10.1137/16M1068669zbMath1381.94012arXiv1610.00623OpenAlexW2507502634MaRDI QIDQ3179605

Ana Carpio, Thomas G. Dimiduk, Virginia Selgas, María-Luisa Rapún

Publication date: 19 December 2016

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00623

zbMATH Keywords

holographymicroscaleinverse scatteringtopological derivativecellular structuresnanoscaletopological energyvisible light imaging

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) PDEs in connection with information and communication (35Q94)

Related Items (8)

Topological imaging methods for the iterative detection of multiple impedance obstacles ⋮ Seeing the invisible: digital holography ⋮ On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects ⋮ When topological derivatives met regularized Gauss-Newton iterations in holographic 3D imaging ⋮ Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-Dimensional Electromagnetism. Part II: Iterative Method ⋮ Optimization Methods for In-Line Holography ⋮ A boundary integral formulation and a topological energy-based method for an inverse 3D multiple scattering problem with sound-soft, sound-hard, penetrable, and absorbing objects ⋮ Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-dimensional Electromagnetism. Part I: One Step Method

Uses Software

• DistMesh

Cites Work

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