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Noise‐adaptive nonlinear diffusion filtering of MR images with spatially varying noise levels

Anisotropic diffusion filtering is widely used for MR image enhancement. However, the anisotropic filter is nonoptimal for MR images with spatially varying noise levels, such as images reconstructed from sensitivity‐encoded data and intensity inhomogeneity‐corrected images. In this work, a new method for filtering MR images with spatially varying noise levels is presented. In the new method, a priori information regarding the image noise level spatial distribution is utilized for the local adjustment of the anisotropic diffusion filter. Our new method was validated and compared with the standard filter on simulated and real MRI data. The noise‐adaptive method was demonstrated to outperform the standard anisotropic diffusion filter in both image error reduction and image signal‐to‐noise ratio (SNR) improvement. The method was also applied to inhomogeneity‐corrected and sensitivity encoding (SENSE) images. The new filter was shown to improve segmentation of MR brain images with spatially varying noise levels. Magn Reson Med 52:798–806, 2004. © 2004 Wiley‐Liss, Inc.