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Identification and Classification of Off-Vertex Critical Points for Contour Tree Construction on Unstructured Meshes of Hexahedra
- Source :
- IEEE Transactions on Visualization and Computer Graphics. 28:5178-5180
- Publication Year :
- 2022
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2022.
-
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.
- Subjects :
- Technology
Vertex (computer graphics)
critical points
Computer science
Context (language use)
Topology
Asymptotic decider
hexahedra
0801 Artificial Intelligence and Image Processing
Polygon mesh
Point (geometry)
Faces
Buildings
Visualization
0802 Computation Theory and Mathematics
Science & Technology
Inspection
Isosurface
Isosurfaces
Software Engineering
Computer Science, Software Engineering
Computer Graphics and Computer-Aided Design
contour tree
Face (geometry)
Computer Science
Signal Processing
Three-dimensional displays
Computer Vision and Pattern Recognition
Hexahedron
Element (category theory)
Algorithm
Software
Subjects
Details
- ISSN :
- 21609306 and 10772626
- Volume :
- 28
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Visualization and Computer Graphics
- Accession number :
- edsair.doi.dedup.....4a6d9717bd3ce07f1dc761692e8ba68c