Maximum number of degenerate curves in 3D linear tensor Fields

Yue Zhang; Yu Jong Tzeng; Eugene Zhang

doi:10.1007/978-3-319-44684-4_13

Maximum number of degenerate curves in 3D linear tensor Fields

Yue Zhang, Yu Jong Tzeng, Eugene Zhang

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

3 Scopus citations

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	https://doi.org/10.1007/978-3-319-44684-4_13
State	Published - 2017

Publication series

Name	Mathematics and Visualization
Number	9783319446820
Volume	0
ISSN (Print)	1612-3786
ISSN (Electronic)	2197-666X

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© 2017, Springer International Publishing AG.

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Maximum number of degenerate curves in 3D linear tensor Fields

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