Level set methods for inverse scattering
O Dorn, D Lesselier - Inverse Problems, 2006 - iopscience.iop.org
We give an overview of recent techniques which use a level set representation of shapes for
solving inverse scattering problems. The main focus is on electromagnetic scattering using …
solving inverse scattering problems. The main focus is on electromagnetic scattering using …
[图书][B] Inverse acoustic and electromagnetic scattering theory
The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …
say in a historical context. We obviously cannot give a complete account of inverse …
Incorporating topological derivatives into level set methods
M Burger, B Hackl, W Ring - Journal of computational physics, 2004 - Elsevier
The aim of this paper is to investigate the use of topological derivatives in combination with
the level set method for shape reconstruction and optimization problems. We propose a new …
the level set method for shape reconstruction and optimization problems. We propose a new …
A survey on level set methods for inverse problems and optimal design
The aim of this paper is to provide a survey on the recent development in level set methods
in inverse problems and optimal design. We give introductions on the general features of …
in inverse problems and optimal design. We give introductions on the general features of …
A framework for the construction of level set methods for shape optimization and reconstruction
M Burger - Interfaces and Free boundaries, 2003 - ems.press
The aim of this paper is to develop a functional-analytic framework for the construction of
level set methods, when applied to shape optimization and shape reconstruction problems …
level set methods, when applied to shape optimization and shape reconstruction problems …
Electrical impedance tomography using level set representation and total variational regularization
In this paper, we propose a numerical scheme for the identification of piecewise constant
conductivity coefficient for a problem arising from electrical impedance tomography. The key …
conductivity coefficient for a problem arising from electrical impedance tomography. The key …
Off-the-grid recovery of piecewise constant images from few Fourier samples
We introduce a method to recover a continuous domain representation of a piecewise
constant two-dimensional image from few low-pass Fourier samples. Assuming the edge set …
constant two-dimensional image from few low-pass Fourier samples. Assuming the edge set …
[图书][B] Mathematical methods in elasticity imaging
This book is the first to comprehensively explore elasticity imaging and examines recent,
important developments in asymptotic imaging, modeling, and analysis of deterministic and …
important developments in asymptotic imaging, modeling, and analysis of deterministic and …
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients
We propose a level set approach for elliptic inverse problems with piecewise constant
coefficients. The geometry of the discontinuity of the coefficient is represented implicitly by …
coefficients. The geometry of the discontinuity of the coefficient is represented implicitly by …
Hierarchical Bayesian level set inversion
The level set approach has proven widely successful in the study of inverse problems for
interfaces, since its systematic development in the 1990s. Recently it has been employed in …
interfaces, since its systematic development in the 1990s. Recently it has been employed in …