Vortices are commonly understood as rotating motions in fluid flows. The analysis of vortices
plays an important role in numerous scientific applications, such as in engineering …

Flow visualization research has made rapid advances in recent years, especially in the area
of topology-based flow visualization. The ever increasing size of scientific data sets favors …

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 …

Vector field design on surfaces is necessary for many graphics applications: example-based
texture synthesis, nonphotorealistic rendering, and fluid simulation. For these applications …

We derive a Hodge decomposition of discrete vector fields on polyhedral surfaces, and
apply it to the identification of vector field singularities. This novel approach allows us to …

One of the reasons that topological methods have a limited popularity for the visualization of
complex 3D flow fields is the fact that such topological structures contain a number of …

Volume visualization is a method of extracting meaningful information from volumetric data
using interactive graphics and imaging. It is concerned with volume data representation …

This paper presents an advanced evenly-spaced streamline placement algorithm for fast,
high-quality, and robust layout of flow lines. A fourth-order Runge-Kutta integrator with …

Vector fields can present complex structural behavior, especially in turbulent computational
fluid dynamics. The topological analysis of these data sets reduces the information, but one …

The topological analysis of unsteady vector fields remains to this day one of the largest
challenges in flow visualization. We build up on recent work on vortex extraction to define a …