Simultaneous head tissue conductivity and EEG source location estimation, NeuroImage, vol.124, pp.168-180, 2016. ,
DOI : 10.1016/j.neuroimage.2015.08.032
Effects of Forward Model Errors on EEG Source Localization, Brain Topography, vol.6, issue.4, pp.378-396, 2013. ,
DOI : 10.1007/BF01211174
Conductivities of Three-Layer Live Human Skull, Brain Topography, vol.14, issue.3, pp.151-167, 2002. ,
DOI : 10.1023/A:1014590923185
Singular solutions of elliptic equations and the determination of conductivity by boundary measurements, Journal of Differential Equations, vol.84, issue.2, pp.252-272, 1990. ,
DOI : 10.1016/0022-0396(90)90078-4
Stable determination of conductivity by boundary measurements, Applicable Analysis, vol.1975, issue.1-3, pp.153-172, 1998. ,
DOI : 10.2307/1971291
Generic uniqueness and size estimates in the inverse conductivity problem with one measurement, Le Matematiche, vol.54, issue.3, pp.5-14, 1999. ,
The stability for the Cauchy problem for elliptic equations, Inverse Problems, vol.25, issue.12, 2009. ,
DOI : 10.1088/0266-5611/25/12/123004
Lipschitz stability for the inverse conductivity problem, Advances in Applied Mathematics, vol.35, issue.2, pp.207-241, 2005. ,
DOI : 10.1016/j.aam.2004.12.002
Polarization and Moment Tensors, With Applications to Inverse Problems and Effective Medium Theory, 2007. ,
Location of Sources of Evoked Scalp Potentials: Corrections for Skull and Scalp Thicknesses, IEEE Transactions on Biomedical Engineering, vol.28, issue.6, pp.28447-452, 1981. ,
DOI : 10.1109/TBME.1981.324817
Bounded Extremal and Cauchy???Laplace Problems on??the??Sphere and Shell, Journal of Fourier Analysis and Applications, vol.11, issue.2, pp.177-203, 2010. ,
DOI : 10.1007/978-1-4612-1015-3
URL : https://hal.archives-ouvertes.fr/hal-00798945
Inverse Acoustic Scattering by a Layered Obstacle, Inverse Problems, Tomography, and Image Processing, pp.1-8, 1998. ,
DOI : 10.1007/978-1-4020-7975-7_1
Harmonic Function Theory, 2001. ,
Zoomed MRI Guided by Combined EEG/MEG Source Analysis: A Multimodal Approach for Optimizing Presurgical Epilepsy Work-up and its Application in a Multi-focal Epilepsy Patient Case Study, Brain Topography, pp.1-17, 2017. ,
Combining EEG and MEG for the Reconstruction of Epileptic Activity Using a Calibrated Realistic Volume Conductor Model, PLoS ONE, vol.21, issue.3, p.93154, 2014. ,
DOI : 10.1371/journal.pone.0093154.t006
Electromagnetic brain mapping, IEEE Signal Processing Magazine, vol.18, issue.6, pp.14-30, 2001. ,
DOI : 10.1109/79.962275
Recovery of pointwise sources or small inclusions in 2D domains and rational approximation, Inverse Problems, vol.21, issue.1, pp.51-74, 2005. ,
DOI : 10.1088/0266-5611/21/1/005
The electrical conductivity of human cerebrospinal fluid at body temperature, IEEE Transactions on Biomedical Engineering, vol.44, issue.3, pp.220-223, 1997. ,
DOI : 10.1109/10.554770
Inverse localization of electric dipole current sources in finite element models of the human head, Electroencephalography and Clinical Neurophysiology, vol.102, issue.4, pp.267-278, 1997. ,
DOI : 10.1016/S0013-4694(96)95698-9
The Output Least Squares Identifiability of the Diffusion Coefficient from an H1?Observation in a 2?D Elliptic Equation. ESAIM: Control, Optimisation and Calculus of Variations, pp.423-440, 2002. ,
URL : https://hal.archives-ouvertes.fr/inria-00072569
Boundary Element Methods with Applications to Nonlinear Problems, 2010. ,
DOI : 10.2991/978-94-91216-27-5
Source localization using rational approximation on plane sections, Inverse Problems, vol.28, issue.5, p.55018, 2012. ,
DOI : 10.1088/0266-5611/28/5/055018
URL : https://hal.archives-ouvertes.fr/inria-00613644
Uniqueness result for an inverse conductivity recovery problem with application to EEG. Rendiconti dell'Istituto di Matematica dell, An International Journal of Mathematics, vol.48, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01303640
An evaluation of dipole reconstruction accuracy with spherical and realistic head models in MEG, Clinical Neurophysiology, vol.110, issue.12, pp.2176-2188, 1999. ,
DOI : 10.1016/S1388-2457(99)00174-1
EEG localization accuracy improvements using realistically shaped head models, IEEE Transactions on Biomedical Engineering, vol.43, issue.3, pp.299-303, 1996. ,
DOI : 10.1109/10.486287
EEG localization accuracy improvements using realistically shaped head models, IEEE Transactions on Biomedical Engineering, vol.43, issue.3, pp.299-303, 1996. ,
DOI : 10.1109/10.486287
Modeling of the human skull in EEG source analysis, Human Brain Mapping, vol.89, issue.9, pp.1383-1399, 2011. ,
DOI : 10.1023/B:BRAT.0000032867.41555.d0
Generic head models for atlas-based EEG source analysis, Human Brain Mapping, vol.22, issue.2, pp.129-143, 2006. ,
DOI : 10.1016/B978-012692535-7/50086-0
Electric and Magnetic Activity of the Brain in Spherical and Ellipsoidal Geometry, Mathematical Modeling in Biomedical Imaging I, pp.133-202, 2009. ,
DOI : 10.1007/978-3-642-03444-2_4
Electro-magneto-encephalography for a three-shell model: dipoles and beyond for the spherical geometry, Inverse Problems, vol.25, issue.3, p.35001, 2009. ,
DOI : 10.1088/0266-5611/25/3/035001
The definite non-uniqueness results for deterministic EEG and MEG data, Inverse Problems, vol.29, issue.6, p.65012, 2013. ,
DOI : 10.1088/0266-5611/29/6/065012
Mathematical Analysis and Numerical Methods for Science and Technology: Volume 1 Physical Origins and Classical Methods, 1990. ,
Mathematical dipoles are adequate to describe realistic generators of human brain activity, IEEE Transactions on Biomedical Engineering, vol.35, issue.11, pp.960-966, 1988. ,
DOI : 10.1109/10.8677
An inverse source problem in potential analysis, Inverse Problems, vol.16, issue.3, pp.651-663, 2000. ,
DOI : 10.1088/0266-5611/16/3/308
Anatomy at a Glance At a glance series, p.649701824, 2011. ,
The inverse EEG and MEG problems: The adjoint state approach I: The continuous case, 1999. ,
URL : https://hal.archives-ouvertes.fr/inria-00077112
-norm in spherical geometry, Inverse Problems, vol.28, issue.3, p.35010, 2012. ,
DOI : 10.1088/0266-5611/28/3/035010
Unbiased average age-appropriate atlases for pediatric studies, NeuroImage, vol.54, issue.1, pp.313-327, 2011. ,
DOI : 10.1016/j.neuroimage.2010.07.033
The dielectric properties of biological tissues: I. Literature survey, Physics in Medicine and Biology, vol.41, issue.11, p.412231, 1996. ,
DOI : 10.1088/0031-9155/41/11/001
The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz, Physics in Medicine and Biology, vol.41, issue.11, p.412251, 1996. ,
DOI : 10.1088/0031-9155/41/11/002
Segmentation of computed tomography brain images using genetic algorithm, International Journal of Soft Computing, vol.4, issue.4, pp.157-161, 2009. ,
Sensitivity of EEG and MEG measurements to tissue conductivity, Physics in Medicine and Biology, vol.49, issue.5, p.701, 2004. ,
DOI : 10.1088/0031-9155/49/5/004
Mixed-norm estimates for the M/EEG inverse problem using accelerated gradient methods, Physics in Medicine and Biology, vol.57, issue.7, p.1937, 2012. ,
DOI : 10.1088/0031-9155/57/7/1937
URL : https://hal.archives-ouvertes.fr/hal-00690774
OpenMEEG: opensource software for quasistatic bioelectromagnetics, BioMedical Engineering OnLine, vol.9, issue.1, p.45, 2010. ,
DOI : 10.1186/1475-925X-9-45
URL : https://hal.archives-ouvertes.fr/inria-00467061
Review on solving the inverse problem in EEG source analysis, Journal of NeuroEngineering and Rehabilitation, vol.5, issue.1, p.25, 2008. ,
DOI : 10.1186/1743-0003-5-25
Magnetoencephalography???theory, instrumentation, and applications to noninvasive studies of the working human brain, Reviews of Modern Physics, vol.41, issue.2, pp.413-497, 1993. ,
DOI : 10.1063/1.1659074
Realistic conductivity geometry model of the human head for interpretation of neuromagnetic data, IEEE Transactions on Biomedical Engineering, vol.36, issue.2, pp.165-171, 1989. ,
DOI : 10.1109/10.16463
The Influence of Brain Tissue Anisotropy on Human EEG and MEG, NeuroImage, vol.15, issue.1, pp.159-166, 2002. ,
Physical Geodesy, 2006. ,
Enhancement of MR Images Using Registration for Signal Averaging, Journal of Computer Assisted Tomography, vol.22, issue.2, 1998. ,
DOI : 10.1097/00004728-199803000-00032
On uniqueness of recovery of a discontinuous conductivity coefficient, Communications on Pure and Applied Mathematics, vol.125, issue.7, pp.865-877, 1988. ,
DOI : 10.1002/cpa.3160410702
Inverse Problems for Partial Differential Equations, 1998. ,
Improved optimization for the robust and accurate linear registration and motion correction of brain images On MEG forward modelling using multipolar expansions, NeuroImage Physics in Medicine & Biology, vol.17, issue.474, pp.825-841523, 2002. ,
Analytic sensing for multi-layer spherical models with application to EEG source imaging, Inverse Problems and Imaging, vol.7, issue.4, pp.1251-1270, 2013. ,
DOI : 10.3934/ipi.2013.7.1251
The layer potential technique for the inverse conductivity problem, Inverse Problems, vol.12, issue.3, pp.267-278, 1996. ,
DOI : 10.1088/0266-5611/12/3/007
A note on uniqueness and stability for the inverse conductivity problem with one measurement, J. Korean Math. Soc, vol.38, pp.781-792, 2001. ,
The Calder??n problem with partial data, Annals of Mathematics, vol.165, issue.2, pp.567-591, 2007. ,
DOI : 10.4007/annals.2007.165.567
An Introduction to the Mathematical Theory of Inverse Problems, 1996. ,
Effect of EEG Electrode Density on Dipole Localization Accuracy Using Two Realistically Shaped Skull Resistivity Models, Brain Topography, vol.12, issue.4, pp.249-254, 2000. ,
DOI : 10.1023/A:1023422504025
Estimation of in vivo human brain-to-skull conductivity ratio from simultaneous extra- and intra-cranial electrical potential recordings, Clinical Neurophysiology, vol.116, issue.2, pp.456-465, 2005. ,
DOI : 10.1016/j.clinph.2004.08.017
Evaluation of multiplesphere head models for MEG source localization, Physics in Medicine & Biology, issue.17, p.56, 2011. ,
Influences of skull segmentation inaccuracies on EEG source analysis, NeuroImage, vol.62, issue.1, pp.418-431, 2012. ,
DOI : 10.1016/j.neuroimage.2012.05.006
Identifiability Properties for Inverse Problems in EEG Data Processing Medical Engineering with Observability and Optimization Issues, Acta Applicandae Mathematicae, vol.8, issue.3, pp.175-190, 2015. ,
DOI : 10.1088/0266-5611/8/6/008
URL : https://hal.archives-ouvertes.fr/hal-00875006
Source localization in ellipsoids by the best meromorphic approximation in planar sections, Inverse Problems, vol.24, issue.3, p.35017, 2008. ,
DOI : 10.1088/0266-5611/24/3/035017
Improved EEG source analysis using low-resolution conductivity estimation in a four-compartment finite element head model, Human Brain Mapping, vol.42, issue.9, pp.2862-2878, 2009. ,
DOI : 10.1016/S1053-8119(96)80170-4
A fast EEG forward problem approximation method and its application to tissue conductivity estimation, International Conference on Basic and Clinical Multimodal Imaging, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01563293
FEM METHOD FOR THE EEG FORWARD PROBLEM AND IMPROVEMENT BASED ON MODIFICATION OF THE SAINT VENANT'S METHOD, Progress In Electromagnetics Research, vol.153, pp.11-22, 2015. ,
DOI : 10.2528/PIER15050102
Noninvasive Localization of Electromagnetic Epileptic Activity . I. Method Descriptions and Simulations, Brain Topography, vol.14, issue.2, pp.131-137, 2001. ,
DOI : 10.1023/A:1012944913650
EEG source imaging, Clinical Neurophysiology, vol.115, issue.10, pp.2195-2222, 2004. ,
DOI : 10.1016/j.clinph.2004.06.001
URL : https://hal.archives-ouvertes.fr/hal-00617795
Influence of Skull Modeling Approaches on EEG Source Localization, Brain Topography, vol.30, issue.3, pp.95-111, 2014. ,
DOI : 10.1016/j.neuroimage.2005.10.014
EEG Source Localization and Imaging Using Multiple Signal Classification Approaches, Journal of Clinical Neurophysiology, vol.16, issue.3, pp.225-238, 1999. ,
DOI : 10.1097/00004691-199905000-00004
Recursive MUSIC: A framework for EEG and MEG source localization, IEEE Transactions on Biomedical Engineering, vol.45, issue.11, pp.1342-1354, 1998. ,
DOI : 10.1109/10.725331
Multiple dipole modeling and localization from spatio-temporal MEG data, IEEE Transactions on Biomedical Engineering, vol.39, issue.6, pp.541-557, 1992. ,
DOI : 10.1109/10.141192
Acoustic and Electromagnetic Equations: Integral Representations for Harmonic Problems, 2001. ,
Electric Fields of the Brain: The Neurophysics of EEG The conductivity of the human skull: Results of in vivo and in vitro measurements, IEEE Transactions on Biomedical Engineering, issue.11, pp.471487-1492, 2000. ,
DOI : 10.1093/acprof:oso/9780195050387.001.0001
Dictionary Learning for Multidimensional Data, Proceedings of GRETSI 2017, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01575263
Functional imaging with low-resolution brain electromagnetic tomography (LORETA): A review, Methods and findings in experimental and clinical pharmacology, vol.24, pp.91-95, 2002. ,
Low resolution brain electromagnetic tomography (LORETA) functional imaging in acute, neurolepticnaive , first-episode, productive schizophrenia, Psychiatry Research: Neuroimaging, issue.3, pp.90169-179, 1999. ,
Equations in Mathematical Physics: A Practical Course, 2012. ,
The influence of skull-conductivity misspecification on inverse source localization in realistically shaped finite element head models, Brain Topography, vol.29, issue.Suppl., pp.157-162, 1997. ,
DOI : 10.1016/B978-0-12-160262-8.50008-6
The Singular Sources Method for an Inverse Transmission Problem, Computing, vol.75, issue.2-3, pp.237-255, 2005. ,
DOI : 10.1007/s00607-004-0085-z
Influence of head models on EEG simulations and inverse source localizations, BioMedical Engineering OnLine, vol.5, issue.1, p.10, 2006. ,
DOI : 10.1186/1475-925X-5-10
Subject position affects EEG magnitudes, NeuroImage, vol.64, pp.476-484, 2013. ,
DOI : 10.1016/j.neuroimage.2012.09.041
Robust inverse-consistent affine CT???MR registration in MRI-assisted and MRI-alone prostate radiation therapy, Medical Image Analysis, vol.23, issue.1, pp.56-69, 2015. ,
DOI : 10.1016/j.media.2015.04.014
Age-specific CT and MRI templates for spatial normalization, NeuroImage, vol.61, issue.4, pp.957-965, 2012. ,
DOI : 10.1016/j.neuroimage.2012.03.020
Current Distribution in the Brain From Surface Electrodes, Anesthesia & Analgesia, vol.47, issue.6, p.717, 1968. ,
DOI : 10.1213/00000539-196811000-00016
Age-Specific MRI Templates for Pediatric Neuroimaging, Developmental Neuropsychology, vol.216, issue.3, pp.379-399, 2012. ,
DOI : 10.1109/42.906424
Electromagnetic Inverse Solutions in Anatomically Constrained Spherical Head Models, Brain Topography, vol.13, issue.2, pp.115-125, 2000. ,
DOI : 10.1023/A:1026607118642
ROI-Demons ,
Minimum-norm cortical source estimation in layered head models is robust against skull conductivity error, NeuroImage, vol.81, pp.265-272, 2013. ,
DOI : 10.1016/j.neuroimage.2013.04.086
Correlation Between Structure and Resistivity Variations of the Live Human Skull, IEEE Transactions on Biomedical Engineering, vol.55, issue.9, pp.2286-2292, 2008. ,
DOI : 10.1109/TBME.2008.923919
MedINRIA: Medical Image Navigation and Research Tool by INRIA, Proc. of MICCAI'07 Workshop on Interaction in Medical Image Analysis and Visualization, 2007. ,
URL : https://hal.archives-ouvertes.fr/inria-00616047
Electrical impedance tomography and Calder??n's problem, Inverse Problems, vol.25, issue.12, p.123011, 2009. ,
DOI : 10.1088/0266-5611/25/12/123011
Electrical impedance tomography and Calder??n's problem, Inverse Problems, vol.25, issue.12, p.123011, 2009. ,
DOI : 10.1088/0266-5611/25/12/123011
Approximate average head models for EEG source imaging, Journal of Neuroscience Methods, vol.185, issue.1, pp.125-132, 2009. ,
DOI : 10.1016/j.jneumeth.2009.09.005
A Global Sensitivity Analysis of Three- and Four-Layer EEG Conductivity Models, IEEE Transactions on Biomedical Engineering, vol.56, issue.4, pp.988-995, 2009. ,
DOI : 10.1109/TBME.2008.2009315
A Global Sensitivity Analysis of Threeand Four-Layer EEG Conductivity Models In vivo conductivity estimation using somatosensory evoked potentials and cortical constraint on the source, 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.988-995, 2007. ,
Influence of Head Tissue Conductivity in Forward and Inverse Magnetoencephalographic Simulations Using Realistic Head Models, IEEE Transactions on Biomedical Engineering, vol.51, issue.12, pp.2129-2137, 2004. ,
DOI : 10.1109/TBME.2004.836490
Diffeomorphic demons: Efficient non-parametric image registration, NeuroImage, vol.45, issue.1, pp.61-72, 2009. ,
DOI : 10.1016/j.neuroimage.2008.10.040
URL : https://hal.archives-ouvertes.fr/inserm-00349600
A guideline for head volume conductor modeling in EEG and MEG, NeuroImage, vol.100, pp.590-607, 2014. ,
DOI : 10.1016/j.neuroimage.2014.06.040
Zero TEMR bone imaging in the head, Magnetic Resonance in Medicine, vol.17, issue.1, pp.107-114, 2016. ,
DOI : 10.1109/42.668698
Geometry-Adapted Hexahedral Meshes Improve Accuracy of Finite-Element-Method-Based EEG Source Analysis, IEEE Transactions on Biomedical Engineering, vol.54, issue.8, pp.1446-1453, 2007. ,
DOI : 10.1109/TBME.2007.890736
Influence of tissue conductivity anisotropy on EEG/MEG field and return current computation in a realistic head model: A simulation and visualization study using high-resolution finite element modeling, NeuroImage, vol.30, issue.3, pp.30813-826, 2006. ,
DOI : 10.1016/j.neuroimage.2005.10.014
Efficient computation of lead field bases and influence matrix for the FEM-based EEG and MEG inverse problem, Inverse Problems, vol.20, issue.4, p.1099, 2004. ,
DOI : 10.1088/0266-5611/20/4/007
Combined EEG/MEG source analysis using calibrated finite element head models, Biomedizinische Technik/Biomedical Engineering, issue.1, pp.5564-68, 2010. ,
An improved 10-tissue human head model with real anatomical structure and hexahedral discretization feature in magnetic induction measurement simulation, Computer Assisted Surgery, vol.24, issue.sup1, pp.148-153, 2016. ,
DOI : 10.1109/TBME.2003.808809