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 …

Based on newly developed methods by the author, who is the inventor of HASM methods,
this handbook bridges the gap between the mathematical-oriented theory of surface …

In this paper we present an efficient framework for computation of persistent homology of
cubical data in arbitrary dimensions. An existing algorithm using simplicial complexes is …

Eighty years after its experimental discovery, a description of induced nuclear fission based
solely on the interactions between neutrons and protons and quantum many-body methods …

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

In this paper, we introduce the concept of isosurface similarity maps for the visualization of
volume data. Iso‐surface similarity maps present structural information of a volume data set …

The Reeb space, which generalizes the notion of a Reeb graph, is one of the few tools in
topological data analysis and visualization suitable for the study of multivariate scientific …

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 …

Although supercomputers are becoming increasingly powerful, their components have thus
far not scaled proportionately. Compute power is growing enormously and is enabling finely …

As data sets grow to exascale, automated data analysis and visualisation are increasingly
important, to intermediate human understanding and to reduce demands on disk storage via …