This paper presents an efficient algorithm for the progressive approximation of Wasserstein
barycenters of persistence diagrams, with applications to the visual analysis of ensemble …

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 …

Mode surfaces are the generalization of degenerate curves and neutral surfaces, which
constitute 3D symmetric tensor field topology. Efficient analysis and visualization of mode …

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 …

We present a visualization technique for 2D stress tensor fields based on the construction of
a globally conforming lattice. Conformity ensures that the lattice edges follow the principal …

The problem of visualising multivariate data and tensor fields inherits its complexity from the
data it targets. By definition, complex data is" hard to separate, analyse, or solve" 1. This …

Transition points are well defined topological features in 3D tensor fields, which are
important for the study of other prominent topological singularities such as wedges and …