Topological Methods in Data Analysis and Visualization VI, 1st ed. 2021 Theory, Applications, and Software Mathematics and Visualization Series

Scalar Field Topology–Algorithms 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 Fields–Flow Fields, Tensor Fields, and Multi-fields.- 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 Multifield 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.