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DOI: 10.1088/0266-5611/21/2/009
See this article

A projection-based level-set approach to enhance conductivity anomaly reconstruction in electrical resistance tomography

M K Ben Hadj Miled and E L Miller
Inverse Problems 23 (6) 2375 (2007)
DOI: 10.1088/0266-5611/23/6/007
See this article

Reconstruction of subdomain boundaries of piecewise constant coefficients of the radiative transfer equation from optical tomography data

S R Arridge, O Dorn, J P Kaipio, et al.
Inverse Problems 22 (6) 2175 (2006)
DOI: 10.1088/0266-5611/22/6/016
See this article

Numerical treatment of the Mumford–Shah model for the inversion and segmentation of X-ray tomography data

Elena Hoetzl and Wolfgang Ring
Inverse Problems in Science and Engineering 18 (7) 907 (2010)
DOI: 10.1080/17415977.2010.492513
See this article

New Variational Formulations for Level Set Evolution Without Reinitialization with Applications to Image Segmentation

Chunxiao Liu, Fangfang Dong, Shengfeng Zhu, Dexing Kong and Kefeng Liu
Journal of Mathematical Imaging and Vision 41 (3) 194 (2011)
DOI: 10.1007/s10851-011-0269-z
See this article

3-D Eddy-Current Imaging of Metal Tubes by Gradient-Based, Controlled Evolution of Level Sets

J.F.P.J. Abascal, M. Lambert, D. Lesselier and O. Dorn
IEEE Transactions on Magnetics 44 (12) 4721 (2008)
DOI: 10.1109/TMAG.2008.2004265
See this article

Multiple level-sets for elliptic Cauchy problems in three dimensional domains

A Leitão and M Marques Alves
Journal of Physics: Conference Series 255 012005 (2010)
DOI: 10.1088/1742-6596/255/1/012005
See this article

Multistatic Imaging of Extended Targets

Habib Ammari, Josselin Garnier, Hyeonbae Kang, Mikyoung Lim and Knut Sølna
SIAM Journal on Imaging Sciences 5 (2) 564 (2012)
DOI: 10.1137/10080631X
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Parametric Level Set Methods for Inverse Problems

Alireza Aghasi, Misha Kilmer and Eric L. Miller
SIAM Journal on Imaging Sciences 4 (2) 618 (2011)
DOI: 10.1137/100800208
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Multifrequency subsurface sensing in the presence of a moderately rough air-soil interface via quasi-ray Gaussian beams

Vincenzo Galdi, Haihua Feng, David A. Castañon, W. Clem Karl and Leopold B. Felsen
Radio Science 37 (2) VIC 8-1 (2002)
DOI: 10.1029/2001RS002557
See this article

A study on the topological derivative-based imaging of thin electromagnetic inhomogeneities in limited-aperture problems

Chi Young Ahn, Kiwan Jeon, Yong-Ki Ma and Won-Kwang Park
Inverse Problems 30 (10) 105004 (2014)
DOI: 10.1088/0266-5611/30/10/105004
See this article

Edge Illumination and Imaging of Extended Reflectors

Liliana Borcea, George Papanicolaou and Fernando Guevara Vasquez
SIAM Journal on Imaging Sciences 1 (1) 75 (2008)
DOI: 10.1137/07069290X
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Electrical impedance tomography

Liliana Borcea
Inverse Problems 18 (6) R99 (2002)
DOI: 10.1088/0266-5611/18/6/201
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Generalized polarization tensors for shape description

Habib Ammari, Josselin Garnier, Hyeonbae Kang, Mikyoung Lim and Sanghyeon Yu
Numerische Mathematik 126 (2) 199 (2014)
DOI: 10.1007/s00211-013-0561-5
See this article

A Narrow-Band Level Set Method Applied to EIT in Brain for Cryosurgery Monitoring

M. Soleimani, O. Dorn and W.R.B. Lionheart
IEEE Transactions on Biomedical Engineering 53 (11) 2257 (2006)
DOI: 10.1109/TBME.2006.877112
See this article

Detecting and imaging dielectric objects from real data: A shape-based approach

Natalia Irishina, Diego Álvarez, Oliver Dorn and Miguel Moscoso
Mathematical and Computer Modelling 50 (5-6) 743 (2009)
DOI: 10.1016/j.mcm.2009.05.003
See this article

Incorporating topological derivatives into level set methods

Martin Burger, Benjamin Hackl and Wolfgang Ring
Journal of Computational Physics 194 (1) 344 (2004)
DOI: 10.1016/j.jcp.2003.09.033
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Moderately rough surface underground imaging via short-pulse quasi-ray gaussian beams

V. Galdi, Haihua Feng, D.A. Castanon, W.C. Karl and L.B. Felsen
IEEE Transactions on Antennas and Propagation 51 (9) 2304 (2003)
DOI: 10.1109/TAP.2003.816363
See this article

Shape-topology optimization of stokes flow via variational level set method

Xian-Bao Duan, Yi-Chen Ma and Rui Zhang
Applied Mathematics and Computation 202 (1) 200 (2008)
DOI: 10.1016/j.amc.2008.02.014
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Level-set-based reconstruction algorithm for EIT lung images: first clinical results

Peyman Rahmati, Manuchehr Soleimani, Sven Pulletz, Inéz Frerichs and Andy Adler
Physiological Measurement 33 (5) 739 (2012)
DOI: 10.1088/0967-3334/33/5/739
See this article

A variational approach to the reconstruction of cracks by boundary measurements

Luca Rondi
Journal de Mathématiques Pures et Appliquées 87 (3) 324 (2007)
DOI: 10.1016/j.matpur.2007.01.007
See this article

Identification of uncertainties in the shape of geophysical objects with level sets and the adjoint method

Dimitris Papadopoulos, Michael Herty, Volker Rath and Marek Behr
Computational Geosciences 15 (4) 737 (2011)
DOI: 10.1007/s10596-011-9242-6
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Spectral method for ill-posed problems based on the balancing principle

Xiangtuan Xiong, Xiaoyan Fan and Ming Li
Inverse Problems in Science and Engineering 23 (2) 292 (2015)
DOI: 10.1080/17415977.2014.894039
See this article

Identification of magnetic deposits in 2-D axisymmetric eddy current models via shape optimization

Zixian Jiang, Houssem Haddar, Armin Lechleiter and Mabrouka El-Guedri
Inverse Problems in Science and Engineering 24 (8) 1385 (2016)
DOI: 10.1080/17415977.2015.1110581
See this article

Scale Space and Variational Methods in Computer Vision

Adriano DeCezaro, Antonio Leitão and Xue-Cheng Tai
Lecture Notes in Computer Science, Scale Space and Variational Methods in Computer Vision 5567 50 (2009)
DOI: 10.1007/978-3-642-02256-2_5
See this article

hp-Finite element discretisation of the electrical impedance tomography problem

P.D. Ledger
Computer Methods in Applied Mechanics and Engineering 225-228 154 (2012)
DOI: 10.1016/j.cma.2012.02.015
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Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum

Shengfeng Zhu, Chunxiao Liu and Qingbiao Wu
Computer Methods in Applied Mechanics and Engineering 199 (45-48) 2970 (2010)
DOI: 10.1016/j.cma.2010.06.007
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Variational approach to shape derivatives for a class of Bernoulli problems

Kazufumi Ito, Karl Kunisch and Gunther H. Peichl
Journal of Mathematical Analysis and Applications 314 (1) 126 (2006)
DOI: 10.1016/j.jmaa.2005.03.100
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Sparsity and level set regularization for diffuse optical tomography using a transport model in 2D

Kernel Prieto and Oliver Dorn
Inverse Problems 33 (1) 014001 (2017)
DOI: 10.1088/0266-5611/33/1/014001
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Recovering doping profiles in semiconductor devices with the Boltzmann–Poisson model

Yingda Cheng, Irene M. Gamba and Kui Ren
Journal of Computational Physics 230 (9) 3391 (2011)
DOI: 10.1016/j.jcp.2011.01.034
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Optimal Localization of Eigenfunctions in an Inhomogeneous Medium

David C. Dobson and Fadil Santosa
SIAM Journal on Applied Mathematics 64 (3) 762 (2004)
DOI: 10.1137/S0036139903426162
See this article

Radial-basis-function level-set-based regularized Gauss–Newton-filter reconstruction scheme for dynamic shape tomography

Naren Naik, Rick Beatson and Jerry Eriksson
Applied Optics 53 (29) 6872 (2014)
DOI: 10.1364/AO.53.006872
See this article

Level Set Methods for Optimization Problems Involving Geometry and Constraints

Stanley J. Osher and Fadil Santosa
Journal of Computational Physics 171 (1) 272 (2001)
DOI: 10.1006/jcph.2001.6789
See this article

Solving constraint ill-posed problems using Ginzburg–Landau regularization functionals

F. Frühauf and H. Grossauer
Journal of Inverse and Ill-posed Problems 16 (1) 35 (2008)
DOI: 10.1515/jiip.2008.003
See this article

A Method for Geometry Optimization in a Simple Model of Two-Dimensional Heat Transfer

X. Peng, K. Niakhai and B. Protas
SIAM Journal on Scientific Computing 35 (5) B1105 (2013)
DOI: 10.1137/120870499
See this article

A Level-Set Approach for Radar Imaging From Ramp Response in Arbitrary Directions

Y Wen, N de Beaucoudrey, J Saillard, J Chauveau and P Pouliguen
Journal of Physics: Conference Series 386 012011 (2012)
DOI: 10.1088/1742-6596/386/1/012011
See this article

Analysis of Regularization Methods for the Solution of Ill-Posed Problems Involving Discontinuous Operators

F. Frühauf, O. Scherzer and A. Leitão
SIAM Journal on Numerical Analysis 43 (2) 767 (2005)
DOI: 10.1137/S0036142903430906
See this article

A Mumford–Shah level-set approach for the inversion and segmentation of X-ray tomography data

Ronny Ramlau and Wolfgang Ring
Journal of Computational Physics 221 (2) 539 (2007)
DOI: 10.1016/j.jcp.2006.06.041
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Microwave Imaging for Early Breast Cancer Detection Using a Shape-based Strategy

N. Irishina, M. Moscoso and O. Dorn
IEEE Transactions on Biomedical Engineering 56 (4) 1143 (2009)
DOI: 10.1109/TBME.2009.2012398
See this article

On level set regularization for highly ill-posed distributed parameter estimation problems

K. van den Doel and U.M. Ascher
Journal of Computational Physics 216 (2) 707 (2006)
DOI: 10.1016/j.jcp.2006.01.022
See this article

A multi-resolution technique based on shape optimization for the reconstruction of homogeneous dielectric objects

M Benedetti, D Lesselier, M Lambert and A Massa
Inverse Problems 25 (1) 015009 (2009)
DOI: 10.1088/0266-5611/25/1/015009
See this article

Polygonal and Polyhedral Contour Reconstruction in Computed Tomography

C. Soussen and A. Mohammad-Djafari
IEEE Transactions on Image Processing 13 (11) 1507 (2004)
DOI: 10.1109/TIP.2004.836159
See this article

RECONSTRUCTION OF SINGULAR SURFACES BY SHAPE SENSITIVITY ANALYSIS AND LEVEL SET METHOD

GUILLAUME BAL and KUI REN
Mathematical Models and Methods in Applied Sciences 16 (08) 1347 (2006)
DOI: 10.1142/S021820250600156X
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A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem

Elena Beretta, Andrea Manzoni and Luca Ratti
Inverse Problems 33 (3) 035010 (2017)
DOI: 10.1088/1361-6420/aa5c0a
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Reconstruction by level sets of n-ary scattering obstacles

A Litman
Inverse Problems 21 (6) S131 (2005)
DOI: 10.1088/0266-5611/21/6/S10
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Shape reconstruction of cardiac ischemia from non-contact intracardiac recordings: A model study

Diego Álvarez, Felipe Alonso-Atienza, José Luis Rojo-Álvarez, Arcadi García-Alberola and Miguel Moscoso
Mathematical and Computer Modelling 55 (5-6) 1770 (2012)
DOI: 10.1016/j.mcm.2011.11.025
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A piecewise constant level set method for elliptic inverse problems

Xue-Cheng Tai and Hongwei Li
Applied Numerical Mathematics 57 (5-7) 686 (2007)
DOI: 10.1016/j.apnum.2006.07.010
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A level-set method for imaging salt structures using gravity data

Wenbin Li, Wangtao Lu and Jianliang Qian
GEOPHYSICS 81 (2) G27 (2016)
DOI: 10.1190/geo2015-0295.1
See this article

An inverse scattering method based on contour deformations by means of a level set method using frequency hopping technique

R. Ferraye, J.-Y. Dauvignac and C. Pichot
IEEE Transactions on Antennas and Propagation 51 (5) 1100 (2003)
DOI: 10.1109/TAP.2003.811468
See this article

Topological derivative-based technique for imaging thin inhomogeneities with few incident directions

Won-Kwang Park
Inverse Problems in Science and Engineering 26 (10) 1490 (2018)
DOI: 10.1080/17415977.2017.1411913
See this article

Surrogate functionals and thresholding for inverse interface problems

S. Kindermann and R. Ramlau
Journal of Inverse and Ill-posed Problems 15 (4) 387 (2007)
DOI: 10.1515/jiip.2007.021
See this article

2D joint inversion of geophysical data using petrophysical clustering and facies deformation

J. Zhang and A. Revil
GEOPHYSICS 80 (5) M69 (2015)
DOI: 10.1190/geo2015-0147.1
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Reconstructing absorption and diffusion shape profiles in optical tomography by a level set technique

M. Schweiger, S. R. Arridge, O. Dorn, A. Zacharopoulos and V. Kolehmainen
Optics Letters 31 (4) 471 (2006)
DOI: 10.1364/OL.31.000471
See this article

Numerical methods for direct and inverse problems in Acoustics and Photothermal Science

María-Luisa Rapún
SeMA Journal 61 (1) 79 (2013)
DOI: 10.1007/s40324-013-0003-4
See this article

Level set methods for inverse scattering

Oliver Dorn and Dominique Lesselier
Inverse Problems 22 (4) R67 (2006)
DOI: 10.1088/0266-5611/22/4/R01
See this article

Self-consistent gradient flow for shape optimization

D. Kraft
Optimization Methods and Software 32 (4) 790 (2017)
DOI: 10.1080/10556788.2016.1171864
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Estimation and Statistical Bounds for Three-Dimensional Polar Shapes in Diffuse Optical Tomography

G. Boverman, E.L. Miller, D.H. Brooks, et al.
IEEE Transactions on Medical Imaging 27 (6) 752 (2008)
DOI: 10.1109/TMI.2007.911492
See this article

Parameter identification using the level set method

Zhiming Lu and Bruce A. Robinson
Geophysical Research Letters 33 (6) L06404 (2006)
DOI: 10.1029/2005GL025541
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Bayesian Approach to Inverse Problems

Ali Mohammad-Djafari and Jean-Marc Dinten
Bayesian Approach to Inverse Problems 311 (2010)
DOI: 10.1002/9780470611197.ch12
See this article

Shape-based optimal estimation and design of curve evolution processes with application to plasma etching

J.M. Berg and N. Zhou
IEEE Transactions on Automatic Control 46 (12) 1862 (2001)
DOI: 10.1109/9.975470
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Theory and Applications of Applied Electromagnetics

Won-Kwang Park
Lecture Notes in Electrical Engineering, Theory and Applications of Applied Electromagnetics 379 51 (2016)
DOI: 10.1007/978-3-319-30117-4_5
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A level set evolution strategy in microwave imaging for early breast cancer detection

Natalia Irishina, Oliver Dorn and Miguel Moscoso
Computers & Mathematics with Applications 56 (3) 607 (2008)
DOI: 10.1016/j.camwa.2008.01.004
See this article

A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems

Marco A Iglesias
Inverse Problems 32 (2) 025002 (2016)
DOI: 10.1088/0266-5611/32/2/025002
See this article

MODELING SEGMENTATION VIA GEOMETRIC DEFORMABLE REGULARIZERS, PDE AND LEVEL SETS IN STILL AND MOTION IMAGERY: A REVISIT

JASJIT SURI, DEE WU, LAURA REDEN, et al.
International Journal of Image and Graphics 01 (04) 681 (2001)
DOI: 10.1142/S0219467801000402
See this article

On Effective Methods for Implicit Piecewise Smooth Surface Recovery

U. M. Ascher, E. Haber and H. Huang
SIAM Journal on Scientific Computing 28 (1) 339 (2006)
DOI: 10.1137/040617261
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Joint inversion of gravity and traveltime data using a level-set-based structural parameterization

Wenbin Li and Jianliang Qian
GEOPHYSICS 81 (6) G107 (2016)
DOI: 10.1190/geo2015-0547.1
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On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients

A. De Cezaro
Journal of Applied Mathematics 2013 1 (2013)
DOI: 10.1155/2013/123643
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Inverse Theory and Applications in Geophysics

Michael S. Zhdanov
Inverse Theory and Applications in Geophysics 179 (2015)
DOI: 10.1016/B978-0-444-62674-5.00006-2
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Identifying attributes of CO2 leakage zones in shallow aquifers using a parametric level set method

Alexander Y. Sun, Mary F. Wheeler and Akand Islam
Greenhouse Gases: Science and Technology 7 (4) 649 (2017)
DOI: 10.1002/ghg.1665
See this article

A regularization method based on level sets and augmented Lagrangian for parameter identification problems with piecewise constant solutions

J P Agnelli, A De Cezaro and A Leitão
Inverse Problems 34 (12) 125003 (2018)
DOI: 10.1088/1361-6420/aae04d
See this article

MUSIC algorithm for location searching of dielectric anomalies from S-parameters using microwave imaging

Won-Kwang Park, Hwa Pyung Kim, Kwang-Jae Lee and Seong-Ho Son
Journal of Computational Physics 348 259 (2017)
DOI: 10.1016/j.jcp.2017.07.035
See this article

Frontiers in PDE-Constrained Optimization

Oliver Dorn
The IMA Volumes in Mathematics and its Applications, Frontiers in PDE-Constrained Optimization 163 341 (2018)
DOI: 10.1007/978-1-4939-8636-1_10
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High degree discontinuous Petrov–Galerkin immersed finite element methods using fictitious elements for elliptic interface problems

Qiao Zhuang and Ruchi Guo
Journal of Computational and Applied Mathematics (2018)
DOI: 10.1016/j.cam.2018.09.028
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A Multi-Scale and Level Set Algorithm for the Inverse Problem of Wave Equation

Ying He and Chun Yan He
Applied Mechanics and Materials 275-277 413 (2013)
DOI: 10.4028/www.scientific.net/AMM.275-277.413
See this article

Looking Back on Inverse Scattering Theory

David Colton and Rainer Kress
SIAM Review 60 (4) 779 (2018)
DOI: 10.1137/17M1144763
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Analyzing Smooth and Singular Domain Perturbations in Level Set Methods

Antoine Laurain
SIAM Journal on Mathematical Analysis 50 (4) 4327 (2018)
DOI: 10.1137/17M1118956
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Level Set Method-Based Identification of Locations and Shapes of Fuel Cell Defects

Hiroyuki MIYOSHI, Takaaki NARA, Yuji GOTOH and Masaaki IZUMI
SICE Journal of Control, Measurement, and System Integration 11 (6) 470 (2018)
DOI: 10.9746/jcmsi.11.470
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A level set method for shape reconstruction in seismic full waveform inversion using a linear elastic model in 2D

Yifan Wu and Oliver Dorn
Journal of Physics: Conference Series 1131 012001 (2018)
DOI: 10.1088/1742-6596/1131/1/012001
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Level set Cox processes

Anders Hildeman, David Bolin, Jonas Wallin and Janine B. Illian
Spatial Statistics 28 169 (2018)
DOI: 10.1016/j.spasta.2018.03.004
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A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets

Oliver Dorn, Eric L Miller and Carey M Rappaport
Inverse Problems 16 (5) 1119 (2000)
DOI: 10.1088/0266-5611/16/5/303
See this article

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

C Ramananjaona, M Lambert, D Lesselier and J-P Zolésio
Inverse Problems 17 (4) 1087 (2001)
DOI: 10.1088/0266-5611/17/4/335
See this article

Level-set function approach to an inverse interface problem

Kazufumi Ito, Karl Kunisch and Zhilin Li
Inverse Problems 17 (5) 1225 (2001)
DOI: 10.1088/0266-5611/17/5/301
See this article

An application of shape optimization in the solution of inverse acoustic scattering problems

Gonzalo R Feijóo, Assad A Oberai and Peter M Pinsky
Inverse Problems 20 (1) 199 (2004)
DOI: 10.1088/0266-5611/20/1/012
See this article

Levenberg–Marquardt level set methods for inverse obstacle problems

Martin Burger
Inverse Problems 20 (1) 259 (2004)
DOI: 10.1088/0266-5611/20/1/016
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Level set methods for geometric inverse problems in linear elasticity

Hend Ben Ameur, Martin Burger and Benjamin Hackl
Inverse Problems 20 (3) 673 (2004)
DOI: 10.1088/0266-5611/20/3/003
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A new method in inverse scattering based on the topological derivative

Gonzalo R Feijoo
Inverse Problems 20 (6) 1819 (2004)
DOI: 10.1088/0266-5611/20/6/008
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Analysis of multi-frequency subspace migration weighted by natural logarithmic function for fast imaging of two-dimensional thin, arc-like electromagnetic inhomogeneities

Young-Deuk Joh and Won-Kwang Park
Computers & Mathematics with Applications 68 (12) 1892 (2014)
DOI: 10.1016/j.camwa.2014.10.005
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Level-set algorithm for the reconstruction of functional activation in near-infrared spectroscopic imaging

Mathews Jacob, Yoram Bresler, Vlad Toronov, Xiaofeng Zhang and Andrew Webb
Journal of Biomedical Optics 11 (6) 064029 (2006)
DOI: 10.1117/1.2400595
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A level-set corrector to an adaptive multiscale permeability prediction

Inga Berre, Martha Lien and Trond Mannseth
Computational Geosciences 11 (1) 27 (2007)
DOI: 10.1007/s10596-006-9037-3
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Artificial time integration

U.M. Ascher, H. Huang and K. van den Doel
BIT Numerical Mathematics 47 (1) 3 (2007)
DOI: 10.1007/s10543-006-0112-x
See this article

Advances in Visual Computing

Elena Hoetzl and Wolfgang Ring
Lecture Notes in Computer Science, Advances in Visual Computing 5876 1021 (2009)
DOI: 10.1007/978-3-642-10520-3_98
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Boundary integral equation methods for inverse problems in electrical engineering

G. Of, A. Schwaigkofler and O. Steinbach
e & i Elektrotechnik und Informationstechnik 124 (7-8) 254 (2007)
DOI: 10.1007/s00502-007-0451-6
See this article

Multidisciplinary Methods for Analysis Optimization and Control of Complex Systems

Heinz W. Engl and Philipp Kügler
Mathematics in Industry, Multidisciplinary Methods for Analysis Optimization and Control of Complex Systems 6 3 (2005)
DOI: 10.1007/3-540-27167-8_1
See this article

A new level-set technique for the crack-detection problem

Diego Alvarez, Oliver Dorn and Miguel Moscoso
PAMM 7 (1) 1081501 (2007)
DOI: 10.1002/pamm.200700355
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Handbook of Biomedical Image Analysis

David Breen, Ross Whitaker, Ken Museth and Leonid Zhukov
Handbook of Biomedical Image Analysis 415 (2005)
DOI: 10.1007/0-306-48551-6_8
See this article

Inverse Problems of Wave Propagation and Diffraction

A. Litman, D. Lesselier and F. Santosa
Lecture Notes in Physics, Inverse Problems of Wave Propagation and Diffraction 486 250 (1997)
DOI: 10.1007/BFb0105775
See this article

Optimization of Periodic Composite Structures for Sub-Wavelength Focusing

David C. Dobson and Lyubima B. Simeonova
Applied Mathematics and Optimization 60 (1) 133 (2009)
DOI: 10.1007/s00245-008-9063-8
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A level set method to reconstruct the discontinuity of the conductivity in EIT

WenBin Chen, Jin Cheng, JunShan Lin and LiFeng Wang
Science in China Series A: Mathematics 52 (1) 29 (2009)
DOI: 10.1007/s11425-008-0156-2
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Fluorescence lifetime imaging from time resolved measurements using a shape-based approach

Diego Álvarez, Paúl Medina and Miguel Moscoso
Optics Express 17 (11) 8843 (2009)
DOI: 10.1364/OE.17.008843
See this article

Medical Image Computing and Computer-Assisted Intervention – MICCAI 2001

Vidya Elangovan and Ross T. Whitaker
Lecture Notes in Computer Science, Medical Image Computing and Computer-Assisted Intervention – MICCAI 2001 2208 213 (2001)
DOI: 10.1007/3-540-45468-3_26
See this article

Level-set-based inverse lithography for photomask synthesis

Yijiang Shen, Ngai Wong and Edmund Y. Lam
Optics Express 17 (26) 23690 (2009)
DOI: 10.1364/OE.17.023690
See this article

Determining Planar Multiple Sound-Soft Obstacles from Scattered Acoustic Fields

A. Carpio, B. T. Johansson and M.-L. Rapún
Journal of Mathematical Imaging and Vision 36 (2) 185 (2010)
DOI: 10.1007/s10851-009-0182-x
See this article

Transport Phenomena and Kinetic Theory

A. Leitão, P. A. Markowich and J. P. Zubelli
Modeling and Simulation in Science, Engineering and Technology, Transport Phenomena and Kinetic Theory 117 (2007)
DOI: 10.1007/978-0-8176-4554-0_6
See this article

Numerical Methods in Multidimensional Radiative Transfer

Oliver Dorn
Numerical Methods in Multidimensional Radiative Transfer 299 (2009)
DOI: 10.1007/978-3-540-85369-5_17
See this article

Inverse Problems and Imaging

Miguel Moscoso
Lecture Notes in Mathematics, Inverse Problems and Imaging 1943 1 (2008)
DOI: 10.1007/978-3-540-78547-7_1
See this article

Simula Research Laboratory

Bjørn Fredrik Nielsen, Marius Lysaker, Per Grøttum, et al.
Simula Research Laboratory 287 (2010)
DOI: 10.1007/978-3-642-01156-6_22
See this article

Deformable Models

Oliver Dorn and Dominique Lesselier
Deformable Models 61 (2007)
DOI: 10.1007/978-0-387-68413-0_3
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Image Processing Based on Partial Differential Equations

Lars Kristian Nielsen, Xue-Cheng Tai, Sigurd Ivar Aanonsen and Magne Espedal
Mathematics and Visualization, Image Processing Based on Partial Differential Equations 403 (2007)
DOI: 10.1007/978-3-540-33267-1_22
See this article

Image Processing Based on Partial Differential Equations

Rossmary Villegas, Oliver Dorn, Miguel Moscoso and Manuel Kindelan
Mathematics and Visualization, Image Processing Based on Partial Differential Equations 381 (2007)
DOI: 10.1007/978-3-540-33267-1_21
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Functional Imaging and Modeling of the Heart

Felipe Calderero, Alireza Ghodrati, Dana H. Brooks, Gilead Tadmor and Rob MacLeod
Lecture Notes in Computer Science, Functional Imaging and Modeling of the Heart 3504 195 (2005)
DOI: 10.1007/11494621_20
See this article

Handbook of Mathematical Methods in Imaging

Oliver Dorn and Dominique Lesselier
Handbook of Mathematical Methods in Imaging 385 (2011)
DOI: 10.1007/978-0-387-92920-0_10
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