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Identification and classification of off-vertex critical points for contour tree construction on unstructured meshes of hexahedra

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Title: Identification and classification of off-vertex critical points for contour tree construction on unstructured meshes of hexahedra
Authors: Koch, MK
Kelly, PHJ
Vincent, P
Item Type: Journal Article
Abstract: The topology of isosurfaces changes at isovalues of critical points, making such points an important feature when building contour trees or Morse-Smale complexes. Hexahedral elements with linear interpolants can contain additional off-vertex critical points in element bodies and on element faces. Moreover, a point on the face of a hexahedron which is critical in the element-local context is not necessarily critical in the global context. In ‘`Exploring Scalar Fields Using Critical Isovalues’' Weber et al. introduce a method to determine whether critical points on faces are also critical in the global context, based on the gradient of the asymptotic decider in each element that shares the face. However, as defined, the method of Weber et al. contains an error, and can lead to incorrect results. In this work we correct the error.
Issue Date: 20-Apr-2021
Date of Acceptance: 1-Apr-2021
URI: http://hdl.handle.net/10044/1/88409
DOI: 10.1109/tvcg.2021.3074438
ISSN: 1077-2626
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Start Page: 1
End Page: 1
Journal / Book Title: IEEE Transactions on Visualization and Computer Graphics
Copyright Statement: © 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Funder's Grant Number: EP/L000407/1
EP/R029423/1
EP/K027379/1
EP/R030340/1
PLP-2016-196
Keywords: 0801 Artificial Intelligence and Image Processing
0802 Computation Theory and Mathematics
Software Engineering
Publication Status: Published online
Online Publication Date: 2021-04-20
Appears in Collections:Computing
Aeronautics
Faculty of Engineering