Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Riemannian Framework for Tensor Computing
International Journal of Computer Vision
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Bayesian Motion Recovery Framework for Myocardial Phase-Contrast Velocity MRI
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Impact of Rician Adapted Non-Local Means Filtering on HARDI
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Noise-driven anisotropic diffusion filtering of MRI
IEEE Transactions on Image Processing
Bias of Least Squares Approaches for Diffusion Tensor Estimation from Array Coils in DT---MRI
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Non-local means variants for denoising of diffusion-weighted and diffusion tensor MRI
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Signal LMMSE estimation from multiple samples in MRI and DT-MRI
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
A convex semi-definite positive framework for DTI estimation and regularization
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Quantification of measurement error in DTI: theoretical predictions and validation
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Adaptive noise filtering for accurate and precise iffusion estimation in fiber crossings
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part I
A variational model for the restoration of MR images corrupted by blur and Rician noise
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Groupwise segmentation improves neuroimaging classification accuracy
MBIA'12 Proceedings of the Second international conference on Multimodal Brain Image Analysis
DWI denoising using spatial, angular, and radiometric filtering
MBIA'12 Proceedings of the Second international conference on Multimodal Brain Image Analysis
A new similarity measure for non-local means filtering of MRI images
Journal of Visual Communication and Image Representation
Rician noise attenuation in the wavelet packet transformed domain for brain MRI
Integrated Computer-Aided Engineering
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Rician noise introduces a bias into MRI measurements that can have a significant impact on the shapes and orientations of tensors in diffusion tensor magnetic resonance images. This is less of a problem in structural MRI, because this bias is signal dependent and it does not seriously impair tissue identification or clinical diagnoses. However, diffusion imaging is used extensively for quantitative evaluations, and the tensors used in those evaluations are biased in ways that depend on orientation and signal levels. This paper presents a strategy for filtering diffusion tensor magnetic resonance images that addresses these issues. The method is a maximum a posteriori estimation technique that operates directly on the diffusion weighted images and accounts for the biases introduced by Rician noise. We account for Rician noise through a data likelihood term that is combined with a spatial smoothing prior. The method compares favorably with several other approaches from the literature, including methods that filter diffusion weighted imagery and those that operate directly on the diffusion tensors.