Extrinsic methods for coding and dictionary learning on Grassmann manifolds

M Harandi, R Hartley, C Shen, B Lovell… - International Journal of …, 2015 - Springer
Sparsity-based representations have recently led to notable results in various visual
recognition tasks. In a separate line of research, Riemannian manifolds have been shown …

Coding kendall's shape trajectories for 3D action recognition

A Ben Tanfous, H Drira… - Proceedings of the IEEE …, 2018 - openaccess.thecvf.com
Suitable shape representations as well as their temporal evolution, termed trajectories, often
lie to non-linear manifolds. This puts an additional constraint (ie, non-linearity) in using …

Sparse coding of shape trajectories for facial expression and action recognition

AB Tanfous, H Drira, BB Amor - IEEE transactions on pattern …, 2019 - ieeexplore.ieee.org
The detection and tracking of human landmarks in video streams has gained in reliability
partly due to the availability of affordable RGB-D sensors. The analysis of such time-varying …

Segmentation of high angular resolution diffusion MRI using sparse Riemannian manifold clustering

HE Çetingül, MJ Wright… - IEEE transactions on …, 2013 - ieeexplore.ieee.org
We address the problem of segmenting high angular resolution diffusion imaging (HARDI)
data into multiple regions (or fiber tracts) with distinct diffusion properties. We use the …

Dictionary learning on the manifold of square root densities and application to reconstruction of diffusion propagator fields

J Sun, Y Xie, W Ye, J Ho, A Entezari… - … Processing in Medical …, 2013 - Springer
In this paper, we present a novel dictionary learning framework for data lying on the manifold
of square root densities and apply it to the reconstruction of diffusion propagator (DP) fields …

HARDI segmentation via fourth-order tensors and anisotropy preserving similarity measures

S Kaushik, J Slovák - Journal of Mathematical Imaging and Vision, 2019 - Springer
In this work, we discuss the higher-order tensors appearing in high angular resolution
diffusion tensor imaging, and we have tested two segmentation methods, the Riemannian …

Manifold-valued Dirichlet processes

H Kim, J Xu, B Vemuri, V Singh - … Conference on Machine …, 2015 - proceedings.mlr.press
Statistical models for manifold-valued data permit capturing the intrinsic nature of the curved
spaces in which the data lie and have been a topic of research for several decades …

4th order tensors for multi-fiber resolution and segmentation in white matter

TT Bihonegn, A Bansal, J Slovák… - Proceedings of the 2020 …, 2020 - dl.acm.org
Since its inception, DTI modality has become an essential tool in the clinical scenario. In
principle, it is rooted in the emergence of symmetric positive definite (SPD) second-order …

Parallel implementation and performance analysis of beamspace ESPRIT

G Xu, SD Silverstein, RH Roy, T Kailath - Acoustics, Speech, and …, 1991 - computer.org
Crime and terrorism in the 21st century call for advancement in the modeling and simulation
of criminal events in the complex environment. This presentation reviews the field of …

A geometric framework for ensemble average propagator reconstruction from diffusion MRI

BC Vemuri, J Sun, M Banerjee, Z Pan, SM Turner… - Medical Image …, 2019 - Elsevier
Diffusion-weighted magnetic resonance imaging (dMRI) is a non-invasive technique to
probe the complex micro-architecture of the tissue being imaged. The diffusional properties …