Visualization and analysis of second‐order tensors: Moving beyond the symmetric positive‐definite case

A Kratz, C Auer, M Stommel, I Hotz - Computer Graphics Forum, 2013 - Wiley Online Library
Tensors provide a powerful language to describe physical phenomena. Consequently, they
have a long tradition in physics and appear in various application areas, either as the final …

Diffusion MRI visualization

T Schultz, A Vilanova - NMR in Biomedicine, 2019 - Wiley Online Library
Modern diffusion magnetic resonance imaging (dMRI) acquires intricate volume datasets
and biological meaning can only be found in the relationship between its different …

Diffusion tensor visualization with glyph packing

G Kindlmann, CF Westin - IEEE transactions on visualization …, 2006 - ieeexplore.ieee.org
A common goal of multivariate visualization is to enable data inspection at discrete points,
while also illustrating larger-scale continuous structures. In diffusion tensor visualization …

Superquadric glyphs for symmetric second-order tensors

T Schultz, GL Kindlmann - IEEE transactions on visualization …, 2010 - ieeexplore.ieee.org
Symmetric second-order tensor fields play a central role in scientific and biomedical studies
as well as in image analysis and feature-extraction methods. The utility of displaying tensor …

Choosing the optimal spatial domain measure of enhancement for mammogram images

K Panetta, A Samani, S Agaian - International journal of …, 2014 - Wiley Online Library
Medical imaging systems often require image enhancement, such as improving the image
contrast, to provide medical professionals with the best visual image quality. This helps in …

Stress tensor field visualization for implant planning in orthopedics

C Dick, J Georgii, R Burgkart… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
We demonstrate the application of advanced 3D visualization techniques to determine the
optimal implant design and position in hip joint replacement planning. Our methods take as …

Quantum entropic regularization of matrix-valued optimal transport

G Peyré, L Chizat, FX Vialard… - European Journal of …, 2019 - cambridge.org
This article introduces a new notion of optimal transport (OT) between tensor fields, which
are measures whose values are positive semidefinite (PSD) matrices. This “quantum” …

Visualization of tensor fields in mechanics

C Hergl, C Blecha, V Kretzschmar… - Computer Graphics …, 2021 - Wiley Online Library
Tensors are used to describe complex physical processes in many applications. Examples
include the distribution of stresses in technical materials, acting forces during seismic …

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 …

Asymmetric tensor analysis for flow visualization

E Zhang, H Yeh, Z Lin… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
The gradient of a velocity vector field is an asymmetric tensor field which can provide critical
insight that is difficult to infer from traditional trajectory-based vector field visualization …