Reconstruction of Domains with Algebraic Boundaries from Generalized Polarization Tensors

DOI10.1137/19M125995XzbMath1442.35540arXiv1905.01642OpenAlexW2994834074WikidataQ114074254 ScholiaQ114074254MaRDI QIDQ5109288

Faouzi Triki, Mihai Putinar, Andries Steenkamp, Habib Ammari

Publication date: 11 May 2020

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

Full work available at URL: https://arxiv.org/abs/1905.01642

zbMATH Keywords

inverse problemsalgebraic domainsgeneralized polarization tensorsshape classification

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Second-order elliptic equations (35J15)

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Inverse Problem for a Planar Conductivity Inclusion

Cites Work

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• Target identification using dictionary matching of generalized polarization tensors
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• Algebraic-exponential data recovery from moments
• Shape reconstruction of nanoparticles from their associated plasmonic resonances
• Real plane algebraic curves.
• Enhancement of near cloaking using generalized polarization tensors vanishing structures. I: The conductivity problem
• Homogenization of the eigenvalues of the Neumann-Poincaré operator
• Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors
• Hyponormal quantization of planar domains. Exponential transform in dimension two
• Generalized polarization tensors for shape description
• The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion
• Parameterized families of polynomials for bounded algebraic curve and surface fitting
• Properties of the Generalized Polarization Tensors
• Reconstructing planar domains from their moments
• Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles
• Sampling and Reconstruction of Shapes With Algebraic Boundaries
• Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data
• Expansion Methods
• Finding All the Elementary Circuits of a Directed Graph
• Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data. Part II: The Strong Interaction Regime