Phat is an open-source C++ library for the computation of persistent homology by matrix
reduction, targeted towards developers of software for topological data analysis. We aim for …

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 …

Flow visualization is a research discipline that is concerned with the visual exploration and
analysis of vector fields. An important class of methods are the topology-based techniques …

We present a formal approach to the visual analysis of recirculation in flows by introducing
recirculation surfaces for 3D unsteady flow fields. Recirculation surfaces are the loci where …

Topological methods are important tools for data analysis, and recently receiving more and
more attention in vector field visualization. In this paper, we give an introductory description …

In this paper, we present an approach to the topological analysis of four‐dimensional vector
fields. In analogy to traditional 2D and 3D vector field topology, we provide a classification …

We present local extraction of bifurcation lines together with extraction of their manifolds, a
topological feature that has not yet been sufficiently recognized in scientific visualization …

We present a technique to visualize the streamline-based mapping between the boundary of
a simply-connected subregion of arbitrary 3D vector fields. While the streamlines are seeded …

An escape map is the partial mapping from seed points to exit points of streamlines in a
bounded domain. The escape map is piecewise continuous, and a topological segmentation …

Vector fields are a fundamental concept in science, and as they can represent properties
from electromagnetic fields to the dynamics of fluid flow, their visualization assists the study …