Hyperspherical von mises-fisher mixture (HvMF) modelling of high angular resolution diffusion MRI

被引：0

作者：

Bhalerao, Abhir ^{[1
]}

Westin, Carl-Fredrik ^{[2
]}

机构：

[1] Univ Warwick, Dept Comp Sci, Coventry CV4 7AL, W Midlands, England

[2] Harvard Med Sch, Brigham & Womens Hosp, Lab Math Imaging, Boston, MA 02115 USA

来源：

MEDICAL IMAGE COMPUTING AND COMPUTER-ASSISTED INTERVENTION - MICCAI 2007, PT 1, PROCEEDINGS | 2007年 / 4791卷

关键词：

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A mapping of unit vectors onto a 5D hypersphere is used to model and partition ODFs from HARDI data. This mapping has a number of useful and interesting properties and we make a link to interpretation of the second order spherical harmonic decompositions of HARDI data. The paper presents the working theory and experiments of using a von Mises-Fisher mixture model for directional samples. The MLE of the second moment of the HvMF pdf can also be related to fractional anisotropy. We perform error analysis of the estimation scheme in single and multi-fibre regions and then show how a penalised-likelihood model selection method can be employed to differentiate single and multiple fibre regions.

引用

页码：236 / +

页数：2

共 49 条

[21] Infinite Von Mises-Fisher Mixture Model and Its Application to Gene Expression Data Clustering
Zhu, Jiaojiao
Fan, Wentao
[J]. 2021 5TH INTERNATIONAL CONFERENCE ON INNOVATION IN ARTIFICIAL INTELLIGENCE (ICIAI 2021), 2021, : 55 - 61
[22] GENERATIVE MODEL-BASED SPEAKER CLUSTERING VIA MIXTURE OF VON MISES-FISHER DISTRIBUTIONS
Tang, Hao
Chu, Stephen M.
Huang, Thomas S.
[J]. 2009 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS 1- 8, PROCEEDINGS, 2009, : 4101 - +
[23] Learning Representations on the Unit Sphere: Investigating Angular Gaussian and Von Mises-Fisher Distributions for Online Continual Learning
Michel, Nicolas
Chierchia, Giovanni
Negrel, Romain
Bercher, Jean-Francois
[J]. THIRTY-EIGHTH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE, VOL 38 NO 13, 2024, : 14350 - 14358
[24] Cross-entropy-based directional importance sampling with von Mises-Fisher mixture model for reliability analysis
Zhang, Xiaobo
Lu, Zhenzhou
Cheng, Kai
[J]. RELIABILITY ENGINEERING & SYSTEM SAFETY, 2022, 220
[25] Effective and Interpretable Document Classification Using Distinctly Labeled Dirichlet Process Mixture Models of von Mises-Fisher Distributions
Ngo Van Linh
Nguyen Kim Anh
Khoat Than
Nguyen Nguyen Tat
[J]. DATABASE SYSTEMS FOR ADVANCED APPLICATIONS, DASFAA 2015, PT II, 2015, 9050 : 139 - 153
[26] Application of the von Mises-Fisher distribution to Random Walk on Spheres method for solving high-dimensional diffusion-advection-reaction equations
Sabelfeld, Karl K.
[J]. STATISTICS & PROBABILITY LETTERS, 2018, 138 : 137 - 142
[27] Texture approximation or texture modelling with components represented by the von Mises-Fisher matrix distribution on SO(3) and the Bingham distribution on S-+(4)
Schaeben, H
[J]. JOURNAL OF APPLIED CRYSTALLOGRAPHY, 1996, 29 : 516 - 525
[28] Anisotropy in high angular resolution diffusion-weighted MRI
Frank, LR
[J]. MAGNETIC RESONANCE IN MEDICINE, 2001, 45 (06) : 935 - 939
[29] Distance-based tractography in high angular resolution diffusion MRI
Roettger, Diana
Seib, Viktor
Mueller, Stefan
[J]. VISUAL COMPUTER, 2011, 27 (6-8): : 729 - 738
[30] Distance-based tractography in high angular resolution diffusion MRI
Diana Röttger
Viktor Seib
Stefan Müller
[J]. The Visual Computer, 2011, 27 : 729 - 738

← 1 2 3 4 5 →