An analytical algorithm for tensor tomography from projections acquired about three axes
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 …
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 …
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 …
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 …
decomposition, can also be applied to analyze scalar optical fields that are ubiquitously …
Hodge-Decomposition of Brain Networks
We analyze brain networks by decomposing them into three orthogonal components:
gradient, curl, and harmonic flows, through the Hodge decomposition, a technique …
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 …
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 …
conventional methods that solve Navier's partial differential equation (PDE), the proposed …