Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems

DOI10.1007/s10915-009-9341-xzbMath1203.65087OpenAlexW2126096288MaRDI QIDQ618563

K.van den Doel, Antonio Leitão, Uri M. Ascher

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9341-x

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for integral equations (65R32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution to inverse problems in abstract spaces (65J22) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (12)

On a level-set method for ill-posed problems with piecewise nonconstant coefficients ⋮ Deterministic versus stochastic level-set regularization in nonlinear phase contrast tomography ⋮ A reconstruction method for the inverse gravimetric problem ⋮ Three-dimensional refined modelling of deep structures by using the level set method: application to the Zhaoping detachment fault, Jiaodong peninsula, China ⋮ On inertial iterated Tikhonov methods for solving ill-posed problems ⋮ Noniterative Reconstruction Method for an Inverse Potential Problem Modeled by a Modified Helmholtz Equation ⋮ Simultaneously recovering both domain and varying density in inverse gravimetry by efficient level-set methods ⋮ Level-set approaches of L₂-type for recovering shape and contrast in ill-posed problems ⋮ An accelerated version of alternating direction method of multipliers for TV minimization in EIT ⋮ A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations ⋮ Nonlinear Parametric Inversion Using Interpolatory Model Reduction ⋮ An improved fast local level set method for three-dimensional inverse gravimetry

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