Topological Methods in Data Analysis and Visualization V: Theory, Algorithms, and Applications

by Hamish Carr, Issei Fujishiro, Filip Sadlo, Shigeo Takahashi

Overview

This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The book also addresses core research challenges such as the representation of large and complex datasets, and integrating numerical methods with robust combinatorial algorithms.

In keeping with the focus of the TopoInVis 2017 Workshop, the contributions reflect the latest advances in finding experimental solutions to open problems in the sector. They provide an essential snapshot of state-of-the-art research, helping researchers to keep abreast of the latest developments and providing a basis for future work. Gathering papers by some of the world’s leading experts on topological techniques, thebook represents a valuable contribution to a field of growing importance, with applications in disciplines ranging from engineering to medicine.

Product Details

ISBN-13:	9783030430351
Publisher:	Springer International Publishing
Publication date:	12/11/2020
Series:	Mathematics and Visualization
Edition description:	1st ed. 2020
Pages:	270
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Persistence.- Scalar Topology.- Time-Varying Topology.- Multivariate Topology.- Other Forms of Topology.