Eigenvector-based Interpolation and Segmentation of 2D Tensor Fields
2011 (English)In: Topological Methods in Data Analysis and Visualization. Theory, Algorithms, and Applications / [ed] Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, Ronald Peikert, Springer, 2011, 139-150 p.Chapter in book (Refereed)
We propose a topology-based segmentation of 2D symmetric tensor fields, which results in cells bounded by tensorlines. We are particularly interested in the influence of the interpolation scheme on the topology, considering eigenvector-based and component-wise linear interpolation. When using eigenvector-based interpolation the most significant modification to the standard topology extraction algorithm is the insertion of additional vertices at degenerate points. A subsequent Delaunay re-triangulation leads to connections between close degenerate points. These new connections create degenerate edges and tri angles.When comparing the resulting topology per triangle with the one obtained by component-wise linear interpolation the results are qualitatively similar, but our approach leads to a less “cluttered” segmentation
Place, publisher, year, edition, pages
Springer, 2011. 139-150 p.
, Mathematics and Visualiztion
Computer Vision and Robotics (Autonomous Systems)
IdentifiersURN: urn:nbn:se:liu:diva-128043DOI: 10.1007/978-3-642-15014-2_12ISBN: 978-3-319-04098-1ISBN: 978-3-319-04099-8OAI: oai:DiVA.org:liu-128043DiVA: diva2:928760