The topology toolkit
This system paper presents the Topology ToolKit (TTK), a software platform designed for the
topological analysis of scalar data in scientific visualization. While topological data analysis …
topological analysis of scalar data in scientific visualization. While topological data analysis …
Visualization and visual analysis of ensemble data: A survey
Over the last decade, ensemble visualization has witnessed a significant development due
to the wide availability of ensemble data, and the increasing visualization needs from a …
to the wide availability of ensemble data, and the increasing visualization needs from a …
An overview of the topology toolkit
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 …
(TTK), which is an open-source library for topological data analysis (TDA). TTK implements …
Scalar field comparison with topological descriptors: Properties and applications for scientific visualization
In topological data analysis and visualization, topological descriptors such as persistence
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …
A survey of topology‐based methods in visualization
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 …
describes the process and results of an extensive annotation for generating a definition and …
State of the art in time‐dependent flow topology: Interpreting physical meaningfulness through mathematical properties
We present a state‐of‐the‐art report on time‐dependent flow topology. We survey
representative papers in visualization and provide a taxonomy of existing approaches that …
representative papers in visualization and provide a taxonomy of existing approaches that …
Progressive wasserstein barycenters of persistence diagrams
This paper presents an efficient algorithm for the progressive approximation of Wasserstein
barycenters of persistence diagrams, with applications to the visual analysis of ensemble …
barycenters of persistence diagrams, with applications to the visual analysis of ensemble …
A structural average of labeled merge trees for uncertainty visualization
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 …
In scalar field topology, graph-based topological descriptors such as merge trees, contour …
Wasserstein distances, geodesics and barycenters of merge trees
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 …
geodesics and barycenters of merge trees. We extend recent work on the edit distance 104 …
Principal geodesic analysis of merge trees (and persistence diagrams)
This article presents a computational framework for the Principal Geodesic Analysis of
merge trees (MT-PGA), a novel adaptation of the celebrated Principal Component Analysis …
merge trees (MT-PGA), a novel adaptation of the celebrated Principal Component Analysis …