Paper
2 November 2001 Geometric methods in nonlinear analysis of data from brain imaging
Hamid Eghbalnia, Amir H. Assadi
Author Affiliations +
Abstract
The aims of this series of papers are: (a) to formulate a geometric framework for non-linear analysis of global features of massive data sets; and (b) to quantify non-linear dependencies among (possibly) uncorrelated parameters that describe the data. In this paper, we consider an application of the methods to extract and characterize nonlinearities in the functional magnetic resonance imaging data and EEG of human brain (fMRI). A more general treatment of this theory applies to a wider variety of massive data sets; however, the usual technicalities for computation and accurate interpretation of abstract concepts remain a challenge for each individual area of application.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Hamid Eghbalnia and Amir H. Assadi "Geometric methods in nonlinear analysis of data from brain imaging", Proc. SPIE 4476, Vision Geometry X, (2 November 2001); https://doi.org/10.1117/12.447277
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KEYWORDS
Electroencephalography

Functional magnetic resonance imaging

Principal component analysis

Independent component analysis

Error analysis

Brain

Brain imaging

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