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Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators
Joint Authors
McGraw, Tim
Kawai, Takamitsu
Yassine, Inas
Zhu, Lierong
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-02
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
The challenge of tensor field visualization is to provide simple and comprehensible representations of data which vary both directionally and spatially.
We explore the use of differential operators to extract features from tensor fields.
These features can be used to generate skeleton representations of the data that accurately characterize the global field structure.
Previously, vector field operators such as gradient, divergence, and curl have previously been used to visualize of flow fields.
In this paper, we use generalizations of these operators to locate and classify tensor field degenerate points and to partition the field into regions of homogeneous behavior.
We describe the implementation of our feature extraction and demonstrate our new techniques on synthetic data sets of order 2, 3 and 4.
American Psychological Association (APA)
McGraw, Tim& Kawai, Takamitsu& Yassine, Inas& Zhu, Lierong. 2011. Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-27.
https://search.emarefa.net/detail/BIM-449163
Modern Language Association (MLA)
McGraw, Tim…[et al.]. Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators. Journal of Applied Mathematics No. 2011 (2011), pp.1-27.
https://search.emarefa.net/detail/BIM-449163
American Medical Association (AMA)
McGraw, Tim& Kawai, Takamitsu& Yassine, Inas& Zhu, Lierong. Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-27.
https://search.emarefa.net/detail/BIM-449163
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449163