Hierarchical watershed ridges for visualizing lagrangian coherent structures

Mingcheng Chen, John C. Hart, Shawn C. Shadden

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Lagrangian coherent structures provide insight into unsteady fluid flow, but their construction has posed many challenges. These structures can be characterized as ridges of a field, but their local definition utilizes an ambiguous eigenvector direction that can point in one of two directions, and its ambiguity can lead to noise and other problems. We overcome these issues with an application of a global ridge definition, applied using the hierarchical watershed transformation. We show results on a mathematical flow model and a simulated vascular flow dataset indicating the watershed method produces less noisy structures.

Original languageEnglish (US)
Title of host publicationMathematics and Visualization
PublisherSpringer Heidelberg
Pages237-251
Number of pages15
Edition9783319446820
DOIs
StatePublished - Jan 1 2017

Publication series

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

Fingerprint

Coherent Structures
Ridge
Watersheds
Unsteady Flow
Ambiguous
Eigenvalues and eigenfunctions
Eigenvector
Fluid Flow
Flow of fluids
Model
Ambiguity

ASJC Scopus subject areas

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

Cite this

Chen, M., Hart, J. C., & Shadden, S. C. (2017). Hierarchical watershed ridges for visualizing lagrangian coherent structures. In Mathematics and Visualization (9783319446820 ed., pp. 237-251). (Mathematics and Visualization; No. 9783319446820). Springer Heidelberg. https://doi.org/10.1007/978-3-319-44684-4_14

Hierarchical watershed ridges for visualizing lagrangian coherent structures. / Chen, Mingcheng; Hart, John C.; Shadden, Shawn C.

Mathematics and Visualization. 9783319446820. ed. Springer Heidelberg, 2017. p. 237-251 (Mathematics and Visualization; No. 9783319446820).

Research output: Chapter in Book/Report/Conference proceedingChapter

Chen, M, Hart, JC & Shadden, SC 2017, Hierarchical watershed ridges for visualizing lagrangian coherent structures. in Mathematics and Visualization. 9783319446820 edn, Mathematics and Visualization, no. 9783319446820, Springer Heidelberg, pp. 237-251. https://doi.org/10.1007/978-3-319-44684-4_14
Chen M, Hart JC, Shadden SC. Hierarchical watershed ridges for visualizing lagrangian coherent structures. In Mathematics and Visualization. 9783319446820 ed. Springer Heidelberg. 2017. p. 237-251. (Mathematics and Visualization; 9783319446820). https://doi.org/10.1007/978-3-319-44684-4_14
Chen, Mingcheng ; Hart, John C. ; Shadden, Shawn C. / Hierarchical watershed ridges for visualizing lagrangian coherent structures. Mathematics and Visualization. 9783319446820. ed. Springer Heidelberg, 2017. pp. 237-251 (Mathematics and Visualization; 9783319446820).
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