In this paper, we present novel algorithms for visualizing the three mutually orthogonal
principal stress directions in 3D solids under load and we discuss the efficient integration of …

Tensors are used to describe complex physical processes in many applications. Examples
include the distribution of stresses in technical materials, acting forces during seismic …

There have been recent advances in the analysis and visualization of 3D symmetric tensor
fields, with a focus on the robust extraction of tensor field topology. However, topological …

Orbifolds are a modern mathematical concept that arises in the research of hyperbolic
geometry with applications in computer graphics and visualization. In this paper, we make …

3D asymmetric tensor fields have found many applications in science and engineering
domains, such as fluid dynamics and solid mechanics. 3D asymmetric tensors can have …

This paper investigates the use of the magnetic gradient tensor and its eigenvectors to
derive expressions for estimating the direction of magnetisation of a uniformly magnetised …

Symmetric second-order tensors are fundamental in various scientific and engineering
domains, as they can represent properties such as material stresses or diffusion processes …

3D symmetric tensor fields have a wide range of applications in science and engineering.
The topology of such fields can provide critical insight into not only the structures in tensor …

Tensor field topology is of importance to research areas of medicine, science, and
engineering. Degenerate curves are one of the crucial topological features that provide …

Research in scalar and vector field visualization has seen many advances in the last three
decades. In contrast, tensor field visualization research is lagging behind considerably. This …