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 …

The large-scale structure of the universe is comprised of virialized blob-like clusters, linear
filaments, sheet-like walls and huge near empty three-dimensional voids. Characterizing the …

We present a new clustering method, significance mode analysis (SigMA), for extracting co-
spatial and co-moving stellar populations from large-scale surveys such as ESA Gaia. The …

The recently published standard ISO 25178-2 distinguishes between field parameters and
feature parameters for surface texture characterisation, whereby the main difference …

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 …

Merge trees, a type of topological descriptors, serve to identify and summarize the
topological characteristics associated with scalar fields. They have great potential for …

Persistent homology has proven itself quite efficient in the topological and qualitative
comparison of filtered topological spaces, when invariance with respect to every …

Vector field simplification aims to reduce the complexity of the flow by removing features
according to their relevance and importance. Our goal is to preserve only the important …

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 …