Improved Back-Projection Cortical Potential Imaging by Multi-resolution Optimization Technique
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Electroencephalogram (EEG) has evolved to be a well-established tool for imaging brain activity. This progress is mainly due to the development of high-resolution (HR) EEG methods. One class of HR-EEG is the cortical potential imaging (CPI), which aims to estimate the potential distribution on the cortical surface, which is much more informative than EEG. Even though these methods exhibit good performance, most of them have inherent inaccuracies that originate from their operating principles that constrain the solution or require a complex calculation process. The back-projection CPI (BP-CPI) method is relatively new and has the advantage of being constraint-free and computation inexpensive. The method has shown relatively good accuracy, which is necessary to become a clinical tool. However, better performance must be achieved. In the present study, two improvements are proposed. Both are embedded as adjacent stages to the BP-CPI and are based on the multi-resolution optimization approach (MR-CPI). A series of Monte-Carlo simulations were performed to examine the characteristics of the proposed improvements. Additional tests were done, including different EEG noise levels and variation in electrode-numbers. The results showed highly accurate cortical potential estimations, with a reduction in estimation error by a factor of 3.75 relative to the simple BP-CPI estimation error. We also validated these results with true EEG data. Analyzing these EEGs, we have demonstrated the MR-CPI competence to correctly localize cortical activations in a real environment. The MR-CPI methods were shown to be reliable for estimating cortical potentials, enabling researchers to obtain fast and robust high-resolution EEGs.
KeywordsMulti-scaling Cortical potential imaging Back-projection Optimization Forward solution Monte-Carlo
This work was supported (in part) by Grant from the MAGNET program of the Israeli OCS and by ElMindA Ltd.
- Babiloni C, Frisoni G, Steriade M, Bresciani L, Binetti G, Del Percio C, Geroldi C, Miniussi C, Nobili F, Rodriguez G et al (2006) Frontal white matter volume and delta eeg sources negatively correlate in awake subjects with mild cognitive impairment and alzheimer’s disease. Clin Neurophysiol 117(5):1113–1129CrossRefGoogle Scholar
- Bendsoe MP, Sigmund O (2013) Topology optimization: theory, methods, and applications. Springer, BerlinGoogle Scholar
- Franceries X, Chauveau N, Sors A, Masquere M, Celsis P (2012) Conjugate gradient method applied to cortical imaging in eeg/erp. In: Petrova R (ed) Finite volume method-powerful means of engineering design. InTech, RijekaGoogle Scholar
- Jain AK, Dubes RC (1988) Algorithms for clustering data. Prentice-Hall Inc, Englewood CliffsGoogle Scholar
- Luck SJ (2014) An introduction to the event-related potential technique. MIT press, CambridgeGoogle Scholar