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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 …
have a long tradition in physics and appear in various application areas, either as the final …
Diffusion MRI visualization
Modern diffusion magnetic resonance imaging (dMRI) acquires intricate volume datasets
and biological meaning can only be found in the relationship between its different …
and biological meaning can only be found in the relationship between its different …
Diffusion tensor visualization with glyph packing
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 …
while also illustrating larger-scale continuous structures. In diffusion tensor visualization …
Superquadric glyphs for symmetric second-order tensors
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 …
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
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 …
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 …
optimal implant design and position in hip joint replacement planning. Our methods take as …
Quantum entropic regularization of matrix-valued optimal transport
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” …
are measures whose values are positive semidefinite (PSD) matrices. This “quantum” …
Visualization of tensor fields in mechanics
Tensors are used to describe complex physical processes in many applications. Examples
include the distribution of stresses in technical materials, acting forces during seismic …
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 …
industrial manufacturing, high-dimensional data analysis, and so forth. However, it is a …
Asymmetric tensor analysis for flow visualization
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 …
insight that is difficult to infer from traditional trajectory-based vector field visualization …