A level set algorithm for minimizing the Mumford-Shah functional in image processing
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Hidden Markov Measure Field Models for Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Riemannian Framework for Tensor Computing
International Journal of Computer Vision
Denoising, segmentation and visualization of diffusion weighted mri
Denoising, segmentation and visualization of diffusion weighted mri
Representing diffusion MRI in 5d for segmentation of white matter tracts with a level set method
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
A riemannian approach to diffusion tensor images segmentation
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
Information geometry on hierarchy of probability distributions
IEEE Transactions on Information Theory
IEEE Transactions on Image Processing
Streamline Flows for White Matter Fibre Pathway Segmentation in Diffusion MRI
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
High Angular Resolution Diffusion MRI Segmentation Using Region-Based Statistical Surface Evolution
Journal of Mathematical Imaging and Vision
Information Theoretic Methods for Diffusion-Weighted MRI Analysis
Emerging Trends in Visual Computing
HARDI Denoising: Variational Regularization of the Spherical Apparent Diffusion Coefficient sADC
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
A Riemannian Framework for Orientation Distribution Function Computing
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Probabilistic fiber tracking using particle filtering
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Segmentation of Q-ball images using statistical surface evolution
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Hyperspherical von Mises-Fisher mixture (HvMF) modelling of high angular resolution diffusion MRI
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part I
Computational representation of white matter fiber orientations
Journal of Biomedical Imaging
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High angular resolution diffusion imaging (HARDI) permits the computation of water molecule displacement probabilities over a sphere of possible displacement directions. This probability is often referred to as the orientation distribution function (ODF). In this paper we present a novel model for the diffusion ODF namely, a mixture of von Mises-Fisher (vMF) distributions. Our model is compact in that it requires very few variables to model complicated ODF geometries which occur specifically in the presence of heterogeneous nerve fiber orientation. We also present a Riemannian geometric framework for computing intrinsic distances, in closed-form, and performing interpolation between ODFs represented by vMF mixtures. As an example, we apply the intrinsic distance within a hidden Markov measure field segmentation scheme. We present results of this segmentation for HARDI images of rat spinal cords – which show distinct regions within both the white and gray matter. It should be noted that such a fine level of parcellation of the gray and white matter cannot be obtained either from contrast MRI scans or Diffusion Tensor MRI scans. We validate the segmentation algorithm by applying it to synthetic data sets where the ground truth is known.