Abstract
3D symmetric tensor fields have a wide range of applications in science and engineering. The topology of a symmetric tensor field, which consists of degenerate curves, can provide critical insights into the behaviors of the tensor fields. Existing methods to extract degenerate curves make some assumptions of the maximum number of degenerate curves in a cell without validating this bound. In this paper, we study the maximum number of degenerate curves in a linear tensor field to contribute to accurate and efficient extraction methods.
| Original language | English (US) |
|---|---|
| Title of host publication | Mathematics and Visualization |
| Publisher | Springer Heidelberg |
| Pages | 221-234 |
| Number of pages | 14 |
| Edition | 9783319446820 |
| ISBN (Electronic) | 9783319446844 |
| ISBN (Print) | 9783319446820, 9783319912738, 9783540250326, 9783540250760, 9783540332749, 9783540886051, 9783642150135, 9783642216077, 9783642231742, 9783642273421, 9783642341403, 9783642543005 |
| DOIs | |
| State | Published - 2017 |
Publication series
| Name | Mathematics and Visualization |
|---|---|
| Number | 9783319446820 |
| Volume | 0 |
| ISSN (Print) | 1612-3786 |
| ISSN (Electronic) | 2197-666X |
Bibliographical note
Funding Information:We wish to thank Christine Escher for valuable discussions concerning Veroness maps. We are also grateful for the constructive comments from our anonymous reviewers. Yue Zhang and Eugene Zhang are partially supported by National Science Foundation Awards IIS 15662236 and 1619383, respectively.
Publisher Copyright:
© 2017, Springer International Publishing AG.