Multidimensional wavelet analysis of functional magnetic resonance images

Analysis of functional magnetic resonance imaging (fMRI) data requires the application of techniques that are able to identify small signal changes against a noisy background. Many of the most commonly used methods cannot deal with responses which change amplitude in a fashion that cannot easily be predicted. One technique that does hold promise in such situations is wavelet analysis, which has been applied extensively to time‐frequency analysis of nonstationary signals. Here a method is described for using multidimensional wavelet analysis to detect activations in an experiment involving periodic activation of the visual and auditory cortices. By manipulating the wavelet coefficients in the spatial dimensions, activation maps can be constructed at different levels of spatial smoothing to optimize detection of activations. The results from the current study show that when the responses are at relatively constant amplitude, results compare well with those obtained by established methods. However, the technique can easily be used in situations where many other methods may lose sensitivity. Hum. Brain Mapping 6:378–382, 1998. © 1998 Wiley‐Liss, Inc.

[1]  I. Daubechies Orthonormal bases of compactly supported wavelets , 1988 .

[2]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[3]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Ravi S. Menon,et al.  Functional brain mapping by blood oxygenation level-dependent contrast magnetic resonance imaging. A comparison of signal characteristics with a biophysical model. , 1993, Biophysical journal.

[5]  E C Wong,et al.  Processing strategies for time‐course data sets in functional mri of the human brain , 1993, Magnetic resonance in medicine.

[6]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[7]  D. L. Donoho,et al.  Ideal spacial adaptation via wavelet shrinkage , 1994 .

[8]  W. Press,et al.  Numerical Recipes in Fortran: The Art of Scientific Computing.@@@Numerical Recipes in C: The Art of Scientific Computing. , 1994 .

[9]  E. Bullmore,et al.  Statistical methods of estimation and inference for functional MR image analysis , 1996, Magnetic resonance in medicine.

[10]  N Lange,et al.  Empirical and substantive models, the Bayesian paradigm, and meta‐analysis in functional brain imaging , 1997, Human brain mapping.

[11]  M J Brammer,et al.  The analysis of functional magnetic resonance images , 1997, Statistical methods in medical research.

[12]  S C Williams,et al.  Generic brain activation mapping in functional magnetic resonance imaging: a nonparametric approach. , 1997, Magnetic resonance imaging.