The analysis of large and complex data sets is one of the most important problems facing the
scientific community, and physics in particular. One response to this challenge has been the …

DIRAC is a freely distributed general-purpose program system for one-, two-, and four-
component relativistic molecular calculations at the level of Hartree–Fock, Kohn–Sham …

This software paper gives an overview of the features supported by the Topology ToolKit
(TTK), which is an open-source library for topological data analysis (TDA). TTK implements …

In topological data analysis and visualization, topological descriptors such as persistence
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …

Abstract The Indo‐Atlantic interocean exchanges achieved by Agulhas Rings are tightly
linked to global ocean circulation and climate. Yet they are still poorly understood because …

Geometric methods rely on tensors that can be encoded using a symbolic formula and data
arrays, such as kernel and distance matrices. We present an extension for standard machine …

This paper presents a new algorithm for the fast, shared memory multi-core computation of
augmented merge trees on triangulations. In contrast to most existing parallel algorithms …

Physical phenomena in science and engineering are frequently modeled using scalar fields.
In scalar field topology, graph-based topological descriptors such as merge trees, contour …

This paper presents a unified computational framework for the estimation of distances,
geodesics and barycenters of merge trees. We extend recent work on the edit distance 104 …

Over the past decade, there has been a significant increase in the development of visual
analytics systems dedicated to addressing urban issues. These systems distill intricate …