Paper Info
Title
Mode Surfaces of Symmetric Tensor Fields: Topological Analysis and Seamless Extraction
Abstract
Mode surfaces are the generalization of degenerate curves and neutral surfaces, which constitute 3D symmetric tensor field topology. Efficient analysis and visualization of mode surfaces can provide additional insight into not only degenerate curves and neutral surfaces, but also how these features transition into each other. Moreover, the geometry and topology of mode surfaces can help domain scientists better understand the tensor fields in their applications. Existing mode surface extraction methods can miss features in the surfaces. Moreover, the mode surfaces extracted from neighboring cells have gaps, which make their subsequent analysis difficult. In this paper, we provide novel analysis on the topological structures of mode surfaces, including a common parameterization of all mode surfaces of a tensor field using 2D asymmetric tensors. This allows us to not only better understand the structures in mode surfaces and their interactions with degenerate curves and neutral surfaces, but also develop an efficient algorithm to seamlessly extract mode surfaces, including neutral surfaces. The seamless mode surfaces enable efficient analysis of their geometric structures, such as the principal curvature directions. We apply our analysis and visualization to a number of solid mechanics data sets.
Year
DOI
Venue
2021
10.1109/TVCG.2020.3030431
IEEE Transactions on Visualization and Computer Graphics
Keywords
DocType
Volume
Tensor field visualization,tensor field topology,traceless tensors,degenerate curve extraction,neutral surface extraction,mode surface extraction
Journal
27
Issue
ISSN
Citations 
2
1077-2626
0
PageRank 
References 
Authors
0.34
7
4
Name
Order
Citations
PageRank
Botong Qu172.86
Lawrence Roy222.72
Yue Zhang3238.01
Eugene Zhang489243.56