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 | |
| Publication status | Published - Jan 1 2017 |
Publication series
| Name | Mathematics and Visualization |
|---|---|
| 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
Theory of singular fibers and reeb spaces for visualization. / Saeki, Osamu.
Mathematics and Visualization. 9783319446820. ed. Springer Heidelberg, 2017. p. 3-33 (Mathematics and Visualization; No. 9783319446820).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
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.
UR - http://www.scopus.com/inward/record.url?scp=85020181970&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85020181970&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-44684-4_1
DO - 10.1007/978-3-319-44684-4_1
M3 - Chapter
T3 - Mathematics and Visualization
SP - 3
EP - 33
BT - Mathematics and Visualization
PB - Springer Heidelberg
ER -