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

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Hamish Carr Issei Fujishiro

Topological Methods in Data Analysis and Visualization V

Theory, Algorithms, and Applications

Hamish Carr, Issei Fujishiro, Filip Sadlo , Shigeo Takahashi

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English

Springer Nature Switzerland AG
11 December 2020

Cybernetics & systems theory; Geometry; Topology; Mathematical theory of computation; Information visualisation

Series: Mathematics and Visualization

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.

Edited by: Hamish Carr, Issei Fujishiro, Filip Sadlo, Shigeo Takahashi, Hans Georg Bock
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2020 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 588g
ISBN: 9783030430351
ISBN 10: 3030430359
Series: Mathematics and Visualization
Pages: 270
Publication Date: 11 December 2020
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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