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Robust Extraction and Simplification of 2D Symmetric Tensor Field Topology
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.
Univ Utah, UT 84112 USA.
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-7285-0483
2019 (English)In: Computer graphics forum (Print), ISSN 0167-7055, E-ISSN 1467-8659, Vol. 38, no 3, p. 337-349Article in journal (Refereed) Published
Abstract [en]

In this work, we propose a controlled simplification strategy for degenerated points in symmetric 2D tensor fields that is based on the topological notion of robustness. Robustness measures the structural stability of the degenerate points with respect to variation in the underlying field. We consider an entire pipeline for generating a hierarchical set of degenerate points based on their robustness values. Such a pipeline includes the following steps: the stable extraction and classification of degenerate points using an edge labeling algorithm, the computation and assignment of robustness values to the degenerate points, and the construction of a simplification hierarchy. We also discuss the challenges that arise from the discretization and interpolation of real world data.

Place, publisher, year, edition, pages
WILEY , 2019. Vol. 38, no 3, p. 337-349
National Category
Computer Vision and Robotics (Autonomous Systems)
Identifiers
URN: urn:nbn:se:liu:diva-160176DOI: 10.1111/cgf.13693ISI: 000481468200027OAI: oai:DiVA.org:liu-160176DiVA, id: diva2:1349565
Note

Funding Agencies|SeRC (Swedish e-Science Research Center); ELLIIT environment for strategic research in Sweden; NSF [IIS-1513616]

Available from: 2019-09-09 Created: 2019-09-09 Last updated: 2019-11-06

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • Other locale
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Output format
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