This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gathers some of the world’s leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The contributions provide introductory and novel research articles including new concepts for the analysis of multivariate and time-dependent data, robust computational approaches for the extraction and approximations of topological structures with theoretical guarantees, and applications of topological scalar and vector field analysis for visualization. The applications span a wide range of scientific areas comprising climate science, material sciences, fluid dynamics, and astronomy. In addition, community efforts with respect to joint software development are reported and discussed.
Scalar Field TopologyAlgorithms and Applications.- W-Structures in
Contour Trees.- Treemap Based Exploration of Merge Trees.- Notes on
Percolation Analysis of Sampled Scalar Fields.- Distributed Task-Parallel
Topology-Controlled Volume Rendering.- Topology-Based Tracking of
Multi-Center Cyclones.- Using Contour Trees in the Analysis and Visualization
of Radio Astronomy Data Cubes.- Topological Methods in Complex FieldsFlow
Fields, Tensor Fields, and Multi-elds.- Objective Finite-Time Flow Topology
from Flowmap Expansion and Contraction.- Coreline Criteria for Inertial
Particle Motion.- Implicit Visualization of 2D Vector Field Topology for
Periodic Orbit Detection.- Visually Evaluating Topological Equivalence of
Bounded Bivariate Fields.- Topological Feature Search in Time-Varying
Multield Data.- Tensor Fields for Data Extraction from Chart Images: Bar
Charts, Histograms, and Scatter Plots.- Topology for Geometric Data.- A Fast
Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean
Space.- Topologically Robust B-Spline Reconstruction of Fibers from 3D
Images.- Introduction to Vector Field Topology.- An Overview of the Topology
ToolKit.- Implementing Persistence-Based Clustering of Point Clouds in the
Topology ToolKit.- TopoInVis TTK Hackathon: Experiences, Lessons Learned, and
Perspectives.
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