Theory of singular fibers and reeb spaces for visualization

Osamu Saeki

doi:10.1007/978-3-319-44684-4_1

Theory of singular fibers and reeb spaces for visualization

Osamu Saeki

Division of Fundamental mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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.

Original language	English
Title of host publication	Mathematics and Visualization
Publisher	Springer Heidelberg
Pages	3-33
Number of pages	31
Edition	9783319446820
DOIs	https://doi.org/10.1007/978-3-319-44684-4_1
Publication status	Published - 2017

Publication series

Name	Mathematics and Visualization
Number	9783319446820
ISSN (Print)	1612-3786
ISSN (Electronic)	2197-666X

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Geometry and Topology
Computer Graphics and Computer-Aided Design
Applied Mathematics

Access to Document

10.1007/978-3-319-44684-4_1

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