In topological data analysis and visualization, topological descriptors such as persistence
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …

This paper presents the state of the art in the area of topology‐based visualization. It
describes the process and results of an extensive annotation for generating a definition and …

Acceleration is a fundamental quantity of flow fields that captures Galilean invariant
properties of particle motion. Considering the magnitude of this field, minima represent …

An eddy is a feature associated with a rotating body of fluid, surrounded by a ring of
shearing fluid. In the ocean, eddies are 10 to 150 km in diameter, are spawned by boundary …

We consider the problem of extracting discrete two-dimensional vortices from a turbulent
flow. In our approach we use a reference model describing the expected physics and …

Contour Trees and Reeb Graphs are firmly embedded in scientific visualization for analysing
univariate (scalar) fields. We generalize this analysis to multivariate fields with a data …

Graphs represent general node‐link diagrams and have long been utilized in scientific
visualization for data organization and management. However, using graphs as a visual …

Multivariate spatial data play an important role in computational science and engineering
simulations. The potential features and hidden relationships in multivariate data can assist …

We present a method to find repeating topological structures in scalar data sets. More
precisely, we compare all subtrees of two merge trees against each other–in an efficient …

We describe a novel technique for the simultaneous visualization of multiple scalar fields, eg
representing the members of an ensemble, based on their contour trees. Using tree …