Level Set Methods for Structural Inversion and Image Reconstruction

DOI10.1007/978-1-4939-0790-8_11zbMath1331.94018OpenAlexW1825542476MaRDI QIDQ2789808

Publication date: 2 March 2016

Published in: Handbook of Mathematical Methods in Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-92920-0_10

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (2)

A regularization method based on level sets and augmented Lagrangian for parameter identification problems with piecewise constant solutions ⋮ Multi-physics adjoint modeling of Earth structure: combining gravimetric, seismic, and geodynamic inversions

Cites Work

Unnamed Item
Unnamed Item
Reservoir description using a binary level set model
Crack reconstruction using a level-set strategy
A Mumford-Shah level-set approach for the inversion and segmentation of X-ray tomography data
A level-set corrector to an adaptive multiscale permeability prediction
Artificial time integration
Design of piezoelectric actuators using a multiphase level set method of piecewise constants
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Quelques résultats sur l'identification de domaines
Topological sensitivity analysis
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.
A framework for the construction of level set methods for shape optimization and reconstruction
Incorporating topological derivatives into level set methods.
Structural optimization using sensitivity analysis and a level-set method.
``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
The shape and topological optimizations' connection
A topology-preserving level set method for shape optimization
Electrical impedance tomography using level set representation and total variational regularization
A self-referencing level-set method for image reconstruction from sparse Fourier samples
A multiphase level set framework for image segmentation using the Mumford and Shah model
Level set methods and dynamic implicit surfaces
A multilevel, level-set method for optimizing eigenvalues in shape design problems
Imaging of location and geometry for extended targets using the response matrix
A variational level set approach to multiphase motion
A new algorithm for topology optimization using a level-set method
On level set regularization for highly ill-posed distributed parameter estimation problems
Shape reconstruction of buried obstacles by controlled evolution of a level set: from a min-max formulation to numerical experimentation
Level-set function approach to an inverse interface problem
A level set method for inverse problems
Optimal approximations by piecewise smooth functions and associated variational problems
Multi-phase permittivity reconstruction in electrical capacitance tomography by level-set methods
A level-set approach for inverse problems involving obstacles Fadil SANTOSA
Level set methods for geometric inverse problems in linear elasticity
Direct Elastic Imaging of a Small Inclusion
Reconstruction by level sets of n -ary scattering obstacles
Reconstruction of thin electromagnetic inclusions by a level-set method
Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
History matching of petroleum reservoirs using a level set technique
Solving inhomogeneous inverse problems by topological derivative methods
Methods for Reliable Topology Changes for Perimeter-Regularized Geometric Inverse Problems
A binary level set model and some applications to Mumford-Shah image segmentation
Piecewise constant level set method for structural topology optimization
Structural level set inversion for microwave breast screening
A study of the representation of cracks with level sets
Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data
On multiple level-set regularization methods for inverse problems
Level set methods for inverse scattering—some recent developments
Shape Sensitivity Analysis via Min Max Differentiability
Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set
Regularization of Ill-Posed Problems Via the Level Set Approach
On the Topological Derivative in Shape Optimization
Active contours without edges
A Second Order Shape Optimization Approach for Image Segmentation
Levenberg–Marquardt level set methods for inverse obstacle problems
A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
The topological asymptotic expansion for the Maxwell equations and some applications
History matching problem in reservoir engineering using the propagation–backpropagation method
On Parameter Estimation Using Level Sets
On the relation between constraint regularization, level sets, and shape optimization
THE TOPOLOGICAL DERIVATIVE FOR THE POISSON'S PROBLEM
Frechet derivatives in inverse obstacle scattering
Dynamic level set regularization for large distributed parameter estimation problems
An inverse scattering method based on contour deformations by means of a level set method using frequency hopping technique
On level set type methods for elliptic Cauchy problems
A variant of the level set method and applications to image segmentation
RECONSTRUCTION OF SINGULAR SURFACES BY SHAPE SENSITIVITY ANALYSIS AND LEVEL SET METHOD
Level set methods for inverse scattering
Sounding of finite solid bodies by way of topological derivative
Analysis of Regularization Methods for the Solution of Ill-Posed Problems Involving Discontinuous Operators
A FEM‐BEM approach using level‐sets in electrical capacitance tomography
A new method in inverse scattering based on the topological derivative
A survey on level set methods for inverse problems and optimal design
Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum

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