Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multidimensional Orientation Estimation with Applications to Texture Analysis and Optical Flow
IEEE Transactions on Pattern Analysis and Machine Intelligence
Comparison of Two Restoration Techniques in the Context of 3D Medical Imaging
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Automatic noise estimation in images using local statistics. Additive and multiplicative cases
Image and Vision Computing
Rician noise removal in diffusion tensor MRI
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Nonparametric neighborhood statistics for MRI denoising
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
Wavelet-based Rician noise removal for magnetic resonance imaging
IEEE Transactions on Image Processing
Speckle reducing anisotropic diffusion
IEEE Transactions on Image Processing
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
On the estimation of the coefficient of variation for anisotropic diffusion speckle filtering
IEEE Transactions on Image Processing
Oriented Speckle Reducing Anisotropic Diffusion
IEEE Transactions on Image Processing
Noise and Signal Estimation in Magnitude MRI and Rician Distributed Images: A LMMSE Approach
IEEE Transactions on Image Processing
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part I
Parallel MRI noise correction: an extension of the LMMSE to non central χ distributions
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
A subpixel edge detector applied to aortic dissection detection
EUROCAST'11 Proceedings of the 13th international conference on Computer Aided Systems Theory - Volume Part II
On the choice of the parameters for anisotropic diffusion in image processing
Pattern Recognition
A new similarity measure for non-local means filtering of MRI images
Journal of Visual Communication and Image Representation
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A new filtering method to remove Rician noise from magnetic resonance images is presented. This filter relies on a robust estimation of the standard deviation of the noise and combines local linear minimum mean square error filters and partial differential equations for MRI, as the speckle reducing anisotropic diffusion did for ultrasound images. The parameters of the filter are automatically chosen from the estimated noise. This property improves the convergence rate of the diffusion while preserving contours, leading to more robust and intuitive filtering. The partial derivative equation of the filter is extended to a new matrix diffusion filter which allows a coherent diffusion based on the local structure of the image and on the corresponding oriented local standard deviations. This new filter combines volumetric, planar, and linear components of the local image structure. The numerical scheme is explained and visual and quantitative results on simulated and real data sets are presented. In the experiments, the new filter leads to the best results.