A new technique to obtain clear statistical parametric map by applying anisotropic diffusion to fMRI

This paper presents a new, simple and elegant technique to improve the detection of brain regions with increased neuronal activity in functional magnetic resonance imaging (fMRI). This technique is based on the robust anisotropic diffusion (RAD). A direct application of RAD to fMRI does not work, mainly due to the lack of sharp boundaries between activated and non-activated regions. To overcome this difficulty, we propose to estimate the statistical parametric map (SPM) from the noisy fMRI, compute the diffusion coefficients in the SPM-space, and then perform the diffusion in the structural information-removed fMRI data using the coefficients previously computed. These steps are iterated until the convergence. We have tested the new technique in both simulated and real fMRI, obtaining surprisingly sharp and noiseless SPMs with increased statistical significance. We use receiver operating characteristics (ROC) curves to show that the proposed technique is superior than the conventional correlation method.

[1]  J A Sorenson,et al.  ROC methods for evaluation of fMRI techniques , 1996, Magnetic resonance in medicine.

[2]  J C Gore,et al.  An roc approach for evaluating functional brain mr imaging and postprocessing protocols , 1995, Magnetic resonance in medicine.

[3]  L. Fahrmeir,et al.  Bayesian Modeling of the Hemodynamic Response Function in BOLD fMRI , 2001, NeuroImage.

[4]  Guillermo Sapiro,et al.  Using anisotropic diffusion of probability maps for activity detection in block-design functional MRI , 2000, Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101).

[5]  Hae Yong Kim,et al.  Robust anisotropic diffusion to produce clear statistical parametric map from noisy fMRI , 2002, Proceedings. XV Brazilian Symposium on Computer Graphics and Image Processing.

[6]  Guillermo Sapiro,et al.  Anisotropic 2-D and 3-D averaging of fMRI signals , 2001, IEEE Transactions on Medical Imaging.

[7]  Guillermo Sapiro,et al.  Robust anisotropic diffusion , 1998, IEEE Trans. Image Process..

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

[9]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  John C. Gore,et al.  ROC Analysis of Statistical Methods Used in Functional MRI: Individual Subjects , 1999, NeuroImage.