Diffusion weighted image denoising using overcomplete local PCA
Diffusion Weighted Images (DWI) normally shows a low Signal to Noise Ratio (SNR) due to
the presence of noise from the measurement process that complicates and biases the …
the presence of noise from the measurement process that complicates and biases the …
[图书][B] Image processing and analysis: variational, PDE, wavelet, and stochastic methods
No time in human history has ever witnessed such explosive influence and impact of image
processing on modern society, sciences, and technologies. From nanotechnologies …
processing on modern society, sciences, and technologies. From nanotechnologies …
Estimation of tensors and tensor‐derived measures in diffusional kurtosis imaging
This article presents two related advancements to the diffusional kurtosis imaging estimation
framework to increase its robustness to noise, motion, and imaging artifacts. The first …
framework to increase its robustness to noise, motion, and imaging artifacts. The first …
Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging
The statistical analysis of covariance matrix data is considered and, in particular,
methodology is discussed which takes into account the non-Euclidean nature of the space of …
methodology is discussed which takes into account the non-Euclidean nature of the space of …
Riemannian geometry of symmetric positive definite matrices via Cholesky decomposition
Z Lin - SIAM Journal on Matrix Analysis and Applications, 2019 - SIAM
We present a new Riemannian metric, termed Log-Cholesky metric, on the manifold of
symmetric positive definite (SPD) matrices via Cholesky decomposition. We first construct a …
symmetric positive definite (SPD) matrices via Cholesky decomposition. We first construct a …
A novel tensor distribution model for the diffusion-weighted MR signal
Diffusion MRI is a non-invasive imaging technique that allows the measurement of water
molecule diffusion through tissue in vivo. The directional features of water diffusion allow …
molecule diffusion through tissue in vivo. The directional features of water diffusion allow …
Statistics on the manifold of multivariate normal distributions: Theory and application to diffusion tensor MRI processing
This paper is dedicated to the statistical analysis of the space of multivariate normal
distributions with an application to the processing of Diffusion Tensor Images (DTI). It relies …
distributions with an application to the processing of Diffusion Tensor Images (DTI). It relies …
Nonlinear structure tensors
In this article, we introduce nonlinear versions of the popular structure tensor, also known as
second moment matrix. These nonlinear structure tensors replace the Gaussian smoothing …
second moment matrix. These nonlinear structure tensors replace the Gaussian smoothing …
A Bayesian approach for stochastic white matter tractography
O Friman, G Farneback… - IEEE transactions on …, 2006 - ieeexplore.ieee.org
White matter fiber bundles in the human brain can be located by tracing the local water
diffusion in diffusion weighted magnetic resonance imaging (MRI) images. In this paper, a …
diffusion in diffusion weighted magnetic resonance imaging (MRI) images. In this paper, a …
Clinical DT-MRI estimation, smoothing, and fiber tracking with log-Euclidean metrics
Diffusion tensor magnetic resonance imaging (DT-MRI or DTI) is an imaging modality that is
gaining importance in clinical applications. However, in a clinical environment, data have to …
gaining importance in clinical applications. However, in a clinical environment, data have to …