Linear inverse solutions with optimal resolution kernels applied to electromagnetic tomography

Human Brain Mapping

Volumn 5, Issue 6, 1997, Pages 454-467

  Grave De Peralta Menendez, Rolando ^a   Hauk, Olaf ^b   Andino, Sara Gonzalez ^a   Vogt, Hermann ^b   Michel, Christoph ^a  

^a GENEVA UNIVERSITY HOSPITALS   (Switzerland)

^b OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

Electroencephalography; Electromagnetic tomography; Inverse problem; Magnetoencephalography; Resolution kernels; Spatial resolution

Indexed keywords

ARTICLE; CALCULATION; COMPUTER SIMULATION; ELECTROENCEPHALOGRAPHY; ELECTROMAGNETIC RADIATION; MAGNETOENCEPHALOGRAPHY; OPTICAL RESOLUTION; PRIORITY JOURNAL; THREE DIMENSIONAL IMAGING; TOMOGRAPHY;

EID: 0012183431     PISSN: 10659471     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0193(1997)5:6<454::AID-HBM6>3.0.CO;2-2     Document Type: Article

References (25)

1. Backus GE, Gilbert JF (1967): Numerical applications of a formalism for geophysical inverse problems. Geophys J R Astron Soc 13:247-276.
2. Backus GE, Gilbert JF (1968): The resolving power of gross earth data. Geophys J R Astron Soc 16:169-205.
3. Backus GE, Gilbert JF (1970): Uniqueness in the inversion of gross earth data. Philos Trans R Soc Lond 266:123-192.
4. Bertero M, De Mol C, Pike ER (1988): Linear inverse problems with discrete data. II. Stability and regularization. Inverse Probl 4:573-594.
5. Capon J (1969): High resolution frequency wave number spectrum analysis. Proc IEEE 57:1408-1419.
6. Clarke CJS, Ioannides AA, Bolton JPR (1989): Localized and distributed source solutions for the biomagnetic inverse problem I. In: Williamson SJ, Hoke M, Stroink G, Kotani M (eds): Advances in Biomagnetism. New York: Plenum Press, pp 587-590.
7. Dale AM, Sereno MI (1993): Improved localization of cortical activity by combining EEG and MEG with MRI cortical surface reconstruction: A linear approach. J Cogn Neurosci 5:162-176.
8. George JS, Aine CJ, Mosher JC, Schmidt DM, Ranken DM, Schlitt HA, Wood CC, Lewine JD, Sanders JA, Belliveau JW (1995): Mapping function in the human brain with magnetoencephalography, anatomic magnetic resonance imaging, and functional magnetic resonance imaging. J Clin Neurophysiol 12:406-431.
9. Grave de Peralta Menendez R, Gonzalez Andino SL (1997): A critical analysis of linear inverse solutions. IEEE Trans Biomed Eng (in press).
10. Grave de Peralta Menendez R, Gonzalez Andino S, Lütkenhöner B (1996): Figures of merit to compare linear distributed inverse solutions. Brain Topogr 9:117-124.
11. Greenblatt RE (1993): Probabilistic reconstruction of multiple sources in the neuroelectromagnetic inverse problem. Inverse Probl 9:271-284.
12. Hämäläinen MS, Ilmoniemi RJ (1984): Interpreting measured magnetic fields of the brain: Estimates of current distributions. Technical Report TKK-F-A559, Helsinski University of Technology.
13. Hämäläinen MS, Hari R, Ilmoniemi RJ, Knuutila J, Lounasma OV (1993): Magnetoencephalography - Theory, instrumentation, and applications to noninvasive studies of the working human brain. Rev Mod Phys 65:413-497.
14. Hauk O (1996): Diplomarbeit am Fachbereich Physik der WWU Münster.
15. Hauk O, Grave de Peralta Menendez R, Lütkenhöner B (1996): The Backus and Gilbert method and the minimum norm method applied to a simple model of a cortex fold. Proceedings of the Third International Hans Berger Congress, Jena, Germany.
16. Ioannides AA, Bolton JPR, Hasson R, Clarke CJS (1989): Localised and distributed source solutions for the biomagnetic inverse problem II. In: Williamson SJ, Hoke M, Stroink G, Kotani M (eds): Advances in Biomagnetism. New York: Plenum Press, pp 587-590.
17. Lütkenhöner B, Grave de Peralta Menendez R (1997): The resolution field concept. Electroencephalogr Clin Neurophysiol 102:326-334.
18. Menke W (1989): Geophysical Data Analysis: Discrete inverse theory. San Diego: Academic Press.
19. Pascual Marqui RD, Michel CM, Lehmann D (1995): Low resolution electromagnetic tomography: Anew method for localizing electrical activity in the brain. Int J Psychophysiol 18:49-65.
20. Penrose R (1955): A generalized inverse for matrices. Proc Cambridge Philos Soc 51:406-413.
21. Robinson S, Rose D (1992): Current source image estimation by spatially filtered MEG. In: Hoke M, Erne S, Okada Y, Romani G (eds): Biomagnetism: Clinical Aspects. Amsterdam: Excerpta Medica, pp 761-765.
22. Sarvas J (1987): Basic mathematical and electromagnetic concepts of the bioelectromagnetic inverse problem. Phys Med Biol 32:11-22.
23. Sekihara K, Scholz B (1996): Generalized Wiener estimation of three dimensional current distribution from biomagnetic measurements. IEEE Trans Biomed Eng 43:281-291.
24. Treitel S, Lines LR (1982). Linear inverse theory and deconvolution. Geophysics 47:1153-1159.
25. Wang JZ, Williamson SJ, Kaufman L (1992): Magnetic source images determined by a lead field analysis: The unique minimum norm least square estimation. IEEE Trans Biomed Eng 39:665-675.