Theory of singular fibers and reeb spaces for visualization

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationMathematics and Visualization
PublisherSpringer Heidelberg
Pages3-33
Number of pages31
Edition9783319446820
DOIs
Publication statusPublished - Jan 1 2017

Publication series

NameMathematics and Visualization
Number9783319446820
ISSN (Print)1612-3786
ISSN (Electronic)2197-666X

Fingerprint

Singularity Theory
Morse Theory
Manifolds with Boundary
Differentiable
Visualization
Fiber
Fibers

All Science Journal Classification (ASJC) codes

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

Cite this

Saeki, O. (2017). Theory of singular fibers and reeb spaces for visualization. In 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.

Mathematics and Visualization. 9783319446820. ed. Springer Heidelberg, 2017. p. 3-33 (Mathematics and Visualization; No. 9783319446820).

Research output: Chapter in Book/Report/Conference proceedingChapter

Saeki, O 2017, Theory of singular fibers and reeb spaces for visualization. in 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
Saeki O. Theory of singular fibers and reeb spaces for visualization. In Mathematics and Visualization. 9783319446820 ed. Springer Heidelberg. 2017. p. 3-33. (Mathematics and Visualization; 9783319446820). https://doi.org/10.1007/978-3-319-44684-4_1
Saeki, Osamu. / Theory of singular fibers and reeb spaces for visualization. Mathematics and Visualization. 9783319446820. ed. Springer Heidelberg, 2017. pp. 3-33 (Mathematics and Visualization; 9783319446820).
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