The Morse-Smale complex is a useful topological data structure for the analysis and
visualization of scalar data. This paper describes an algorithm that processes all mesh …

Topological techniques have proven to be a powerful tool in the analysis and visualization of
large-scale scientific data. In particular, the Morse-Smale complex and its various …

Topological techniques have proven highly successful in analyzing and visualizing scientific
data. As a result, significant efforts have been made to compute structures like the Morse …

Morse complexes are gradient-based topological descriptors with close connections to
Morse theory. They are widely applicable in scientific visualization as they serve as …

Robust analysis of vector fields has been established as an important tool for deriving
insights from the complex systems these fields model. Traditional analysis and visualization …

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 …

Vector field simplification aims to reduce the complexity of the flow by removing features in
order of their relevance and importance, to reveal prominent behavior and obtain a compact …

In this paper, we introduce a new approach to computing a Morse decomposition of a vector
field on a triangulated manifold surface. The basic idea is to convert the input vector field to a …

Topological abstractions offer a method to summarize the behavior of vector fields, but
computing them robustly can be challenging due to numerical precision issues. One …

Vector field simplification aims to reduce the complexity of the flow by removing features in
order of their relevance and importance, to reveal prominent behavior and obtain a compact …