### 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 |
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Title of host publication | Mathematics and Visualization |

Publisher | Springer Heidelberg |

Pages | 3-33 |

Number of pages | 31 |

Edition | 9783319446820 |

DOIs | |

Publication status | Published - Jan 1 2017 |

### Publication series

Name | Mathematics and Visualization |
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Number | 9783319446820 |

ISSN (Print) | 1612-3786 |

ISSN (Electronic) | 2197-666X |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

*Mathematics and Visualization*(9783319446820 ed., pp. 3-33). (Mathematics and Visualization; No. 9783319446820). Springer Heidelberg. https://doi.org/10.1007/978-3-319-44684-4_1

**Theory of singular fibers and reeb spaces for visualization.** / Saeki, Osamu.

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

*Mathematics and Visualization.*9783319446820 edn, Mathematics and Visualization, no. 9783319446820, Springer Heidelberg, pp. 3-33. https://doi.org/10.1007/978-3-319-44684-4_1

}

TY - CHAP

T1 - Theory of singular fibers and reeb spaces for visualization

AU - Saeki, Osamu

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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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U2 - 10.1007/978-3-319-44684-4_1

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

M3 - Chapter

AN - SCOPUS:85020181970

T3 - Mathematics and Visualization

SP - 3

EP - 33

BT - Mathematics and Visualization

PB - Springer Heidelberg

ER -