Hierarchical watershed ridges for visualizing lagrangian coherent structures

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

Research output: Chapter in Book/Report/Conference proceedingChapter


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
Number of pages15
ISBN (Electronic)9783319446844
ISBN (Print)9783319446820, 9783319912738, 9783540250326, 9783540250760, 9783540332749, 9783540886051, 9783642150135, 9783642216077, 9783642231742, 9783642273421, 9783642341403, 9783642543005
StatePublished - 2017

Publication series

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

ASJC Scopus subject areas

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


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