An analytical algorithm for tensor tomography from projections acquired about three axes

W Tao, D Rohmer, GT Gullberg, Y Seo… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Tensor fields are useful for modeling the structure of biological tissues. The challenge to
measure tensor fields involves acquiring sufficient data of scalar measurements that are …

A survey on visualization of tensor field

C Bi, L Yang, Y Duan, Y Shi - Journal of Visualization, 2019 - Springer
Tensor field has been widely used in various applications, such as medical imaging,
industrial manufacturing, high-dimensional data analysis, and so forth. However, it is a …

The shear modulus of the nucleus pulposus measured using magnetic resonance elastography: a potential biomarker for intervertebral disc degeneration

DH Cortes, JF Magland, AC Wright… - Magnetic resonance in …, 2014 - Wiley Online Library
Purpose This study aims to:(1) measure the shear modulus of nucleus pulposus (NP) in
intact human vertebra–disc–vertebra segments using a magnetic resonance elastography …

Helmholtz Hodge decomposition of scalar optical fields

M Bahl, P Senthilkumaran - JOSA A, 2012 - opg.optica.org
It is shown that the vector field decomposition method, namely, the Helmholtz Hodge
decomposition, can also be applied to analyze scalar optical fields that are ubiquitously …

Hodge-Decomposition of Brain Networks

DV Anand, MK Chung - 2024 IEEE International Symposium on …, 2024 - ieeexplore.ieee.org
We analyze brain networks by decomposing them into three orthogonal components:
gradient, curl, and harmonic flows, through the Hodge decomposition, a technique …

[HTML][HTML] A novel reconstruction method for magnetic resonance elastography based on the Helmholtz decomposition

M Fushimi, T Nara - Measurement: Sensors, 2022 - Elsevier
We present a novel reconstruction method for magnetic resonance elastography, in which
the shear modulus and viscosity of biological tissues are estimated from the externally …

MR Elastography Reconstruction Based on a Linear Integral Equation Derived from the Helmholtz Identity

M Fushimi, N Eda, T Nara - archive.ismrm.org
This paper presents a novel reconstruction method for MR Elastography. Unlike most
conventional methods that solve Navier's partial differential equation (PDE), the proposed …

[引用][C] Data Visualization Using Hodge Decomposition-A Short Review

M Bahl - J Nanomed Res, 2017