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2017 | OriginalPaper | Chapter

Theory of Singular Fibers and Reeb Spaces for Visualization

Author : Osamu Saeki

Published in: Topological Methods in Data Analysis and Visualization IV

Publisher: Springer International Publishing

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Abstract

This is a survey article on singularity theory of differentiable maps with applications to visualization of scientific data in mind. Special emphasis is put on Morse theory on manifolds with boundary, singular fibers of multi-fields, their Reeb spaces, and their topological transitions.

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Title: Theory of Singular Fibers and Reeb Spaces for Visualization
Author: Osamu Saeki
Publisher: Springer International Publishing
Book: Topological Methods in Data Analysis and Visualization IV
Print ISBN: 978-3-319-44682-0

Electronic ISBN: 978-3-319-44684-4

Copyright Year: 2017
DOI: https://doi.org/10.1007/978-3-319-44684-4_1

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