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) |
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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 |
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Number | 9783319446820 |
Volume | 0 |
ISSN (Print) | 1612-3786 |
ISSN (Electronic) | 2197-666X |
Bibliographical note
Publisher Copyright:© 2017, Springer International Publishing AG.