Theory of singular fibers and reeb spaces for visualization

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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.

Original languageEnglish
Title of host publicationMathematics and Visualization
PublisherSpringer Heidelberg
Pages3-33
Number of pages31
Edition9783319446820
ISBN (Electronic)9783319446844
ISBN (Print)9783319446820, 9783319912738, 9783540250326, 9783540250760, 9783540332749, 9783540886051, 9783642150135, 9783642216077, 9783642231742, 9783642273421, 9783642341403, 9783642543005
DOIs
Publication statusPublished - 2017

Publication series

NameMathematics and Visualization
Number9783319446820
Volume0
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

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