State of Art in Realistic Head Modeling for Electro-magnetic Source Imaging of the Human Brain

Electric currents produced by the neural activity in the brain create electric potentials on the scalp and magnetic eld distribution outside the scalp. Measuring electric and magnetic elds provides a means to understand the spatio-temporal distribution of the neural activity. The representations of the intracellular electric current of active cell populations based on bimodal data are called electro-magnetic source image (EMSI). With the recent development of large arrays of magnetic sensors, and systems for measuring scalp voltages at more than 100 locations, it is now feasible to implement computational methods that employ numerical models which incorporate the correct geometry and electrical properties of the head. This paper introduces the problem of developing realistic head models for generating more accurate EMSIs. In that sense it has a major review component. Tissue classication from magnetic resonance images forms the rst step for realistic head modeling. Thus existing segmentation algorithms and their performances will be discussed. Next, two numerical methods, namely the Finite Element Method (FEM) and the Boundary Element Method (BEM), will be introduced for the solution of electric potential and magnetic elds for a known source conguration. An overall measure, relative dierence measure (RDM) is used to measure the performance of the numerical models implemented using isoparametric, quadratic elements. It is observed that both FEM and BEM models yield RDMs around 1%. Finally, a methodology is introduced for parallel implementation of FEM. The implemented parallelization algorithm provided a speed-up of 1.49 on two processors, for a 31769 noded mesh.

[1]  L O Hall,et al.  Review of MR image segmentation techniques using pattern recognition. , 1993, Medical physics.

[2]  B.N. Cuffin,et al.  EEG localization accuracy improvements using realistically shaped head models , 1996, IEEE Transactions on Biomedical Engineering.

[3]  Anil K. Jain Fundamentals of Digital Image Processing , 2018, Control of Color Imaging Systems.

[4]  M. Lynn,et al.  The Use of Multiple Deflations in the Numerical Solution of Singular Systems of Equations, with Applications to Potential Theory , 1968 .

[5]  Anthony J. Yezzi,et al.  A geometric snake model for segmentation of medical imagery , 1997, IEEE Transactions on Medical Imaging.

[6]  H. Spekreijse,et al.  Mathematical dipoles are adequate to describe realistic generators of human brain activity , 1988, IEEE Transactions on Biomedical Engineering.

[7]  D. Geselowitz On bioelectric potentials in an inhomogeneous volume conductor. , 1967, Biophysical journal.

[8]  Richard M. Leahy,et al.  Surface-based labeling of cortical anatomy using a deformable atlas , 1997, IEEE Transactions on Medical Imaging.

[9]  Vipin Kumar,et al.  A high performance sparse Cholesky factorization algorithm for scalable parallel computers , 1995, Proceedings Frontiers '95. The Fifth Symposium on the Frontiers of Massively Parallel Computation.

[10]  Gabriel Taubin,et al.  A signal processing approach to fair surface design , 1995, SIGGRAPH.

[11]  J. Le,et al.  Method to reduce blur distortion from EEG's using a realistic head model , 1993, IEEE Transactions on Biomedical Engineering.

[12]  D. A. Driscoll,et al.  EEG electrode sensitivity--an application of reciprocity. , 1969, IEEE transactions on bio-medical engineering.

[13]  Laurent D. Cohen,et al.  Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  David R. Owen,et al.  FINITE ELEMENT PROGRAMMING , 1980, The Finite Element Method Using MATLAB.

[15]  A. Dale,et al.  Improved Localizadon of Cortical Activity by Combining EEG and MEG with MRI Cortical Surface Reconstruction: A Linear Approach , 1993, Journal of Cognitive Neuroscience.

[16]  Max A. Viergever,et al.  A discrete dynamic contour model , 1995, IEEE Trans. Medical Imaging.

[17]  M. Stella Atkins,et al.  Fully automatic segmentation of the brain in MRI , 1998, IEEE Transactions on Medical Imaging.

[18]  A Capdevila Cirera,et al.  [Magnetic resonance angiography]. , 1995, Medicina clinica.

[19]  Ivo Babuška,et al.  Some aspects of parallel implementation of the finite-element method on message passing architectures , 1989 .

[20]  James C. Bezdek,et al.  A comparison of neural network and fuzzy clustering techniques in segmenting magnetic resonance images of the brain , 1992, IEEE Trans. Neural Networks.

[21]  Jack Dongarra,et al.  A User''s Guide to PVM Parallel Virtual Machine , 1991 .

[22]  Tien-Tsin Wong,et al.  Multiresolution Isosurface Extraction with Adaptive Skeleton Climbing , 1998, Comput. Graph. Forum.

[23]  M. Pernice,et al.  PVM: Parallel Virtual Machine - A User's Guide and Tutorial for Networked Parallel Computing [Book Review] , 1996, IEEE Parallel & Distributed Technology: Systems & Applications.

[24]  Kazutomo Yunokuchi,et al.  Tests of EEG localization accuracy using implanted sources in the human brain , 1991, Annals of neurology.

[25]  Further improvement of high‐speed NMR flow‐velocity measurement using a differential phase‐encoding technique , 1987, Magnetic resonance in medicine.

[26]  D. Cohen,et al.  MEG versus EEG localization test using implanted sources in the human brain , 1990, Annals of neurology.

[27]  Paul M. Thompson,et al.  A surface-based technique for warping three-dimensional images of the brain , 1996, IEEE Trans. Medical Imaging.

[28]  J. Pasciak,et al.  Computer solution of large sparse positive definite systems , 1982 .

[29]  F. Perrin,et al.  The finite element method for a realistic head model of electrical brain activities: preliminary results. , 1991, Clinical physics and physiological measurement : an official journal of the Hospital Physicists' Association, Deutsche Gesellschaft fur Medizinische Physik and the European Federation of Organisations for Medical Physics.

[30]  K. Harada,et al.  Effects of inhomogeneities in cerebral modeling for magnetoencephalography , 1987 .

[31]  Lauri Parkkonen,et al.  A 122-channel whole-cortex SQUID system for measuring the brain's magnetic fields , 1993 .

[32]  B. Kimia,et al.  Volumetric segmentation of medical images by three-dimensional bubbles , 1995, Proceedings of the Workshop on Physics-Based Modeling in Computer Vision.

[33]  Gabriel Taubin,et al.  Converting sets of polygons to manifold surfaces by cutting and stitching , 1998, Proceedings Visualization '98 (Cat. No.98CB36276).

[34]  D. Norris,et al.  Gated cardiac imaging using low-field NMR. , 1986, Physics in medicine and biology.

[35]  James M. Ortega,et al.  Segmentation of volumetric medical imagery using multiple geodesic-based active surfaces , 1996, Medical Imaging.

[36]  B. Neil Cuffin,et al.  Magnetic Fields of a Dipole in Special Volume Conductor Shapes , 1977, IEEE Transactions on Biomedical Engineering.

[37]  L. Parkkonen,et al.  122-channel squid instrument for investigating the magnetic signals from the human brain , 1993 .

[38]  W. Eric L. Grimson,et al.  Adaptive Segmentation of MRI Data , 1995, CVRMed.

[39]  James M. Ortega,et al.  Model-based boundary estimation of complex objects using hierarchical active surface templates , 1995, Pattern Recognit..

[40]  Russell M. Mersereau,et al.  Automatic Detection of Brain Contours in MRI Data Sets , 1991, IPMI.

[41]  Michael Garland,et al.  Surface simplification using quadric error metrics , 1997, SIGGRAPH.

[42]  Vipin Kumar,et al.  Highly Scalable Parallel Algorithms for Sparse Matrix Factorization , 1997, IEEE Trans. Parallel Distributed Syst..

[43]  N. G. Gencer,et al.  Differential characterization of neural sources with the bimodal truncated SVD pseudo-inverse for EEG and MEG measurements , 1998, IEEE Transactions on Biomedical Engineering.

[44]  M. Hämäläinen,et al.  Realistic conductivity geometry model of the human head for interpretation of neuromagnetic data , 1989, IEEE Transactions on Biomedical Engineering.

[45]  E. Hoffman,et al.  Application of annihilation coincidence detection to transaxial reconstruction tomography. , 1975, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[46]  David N. Levin,et al.  Brownian strings: segmenting images with stochastically deformable contours , 1994, Other Conferences.

[47]  Partha Dasgupta,et al.  Parallel processing on networks of workstations: a fault-tolerant, high performance approach , 1995, Proceedings of 15th International Conference on Distributed Computing Systems.

[48]  Thomas L. Sterling,et al.  BEOWULF: A Parallel Workstation for Scientific Computation , 1995, ICPP.

[49]  Jerry L. Prince,et al.  An active contour model for mapping the cortex , 1995, IEEE Trans. Medical Imaging.

[50]  Some results of high‐flow‐velocity NMR imaging using selection gradient , 1986, Magnetic resonance in medicine.