Shape reconstruction of buried obstacles by controlled evolution of a level set: from a min-max formulation to numerical experimentation

DOI10.1088/0266-5611/17/4/335zbMath0994.35121OpenAlexW2030052358MaRDI QIDQ2747548

Dominique Lesselier, Marc Lambert, C. Ramananjaona, Jean-Paul Zolésio

Publication date: 7 October 2002

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/17/4/335

zbMATH Keywords

derivativesreconstructionobjective functionaladjoint scattering problemsdirect scattering problemsmin-max formulationsmultiply connected obstacletime-harmonic wave field data

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Optimality conditions for minimax problems (49K35) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (4)

Crack reconstruction using a level-set strategy ⋮ A variational approach to the reconstruction of cracks by boundary measurements ⋮ Identification of uncertainties in the shape of geophysical objects with level sets and the adjoint method ⋮ Level Set Methods for Structural Inversion and Image Reconstruction

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