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Topology of 3D Linear Symmetric Tensor Fields

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Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Abstract

There has been much research in 3D symmetric tensor fields, including recent work on tensor field topology. In this book chapter, we apply these research results to the most fundamental types of 3D tensor fields, i.e., linear tensor fields, and provide some novel insights on such fields. We also propose a number of hypotheses about linear tensor fields. We hope by studying linear tensor fields, we can gain more critical insights into the topology of general 3D tensor fields in the future.

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Correspondence to Yue Zhang .

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© 2015 Springer International Publishing Switzerland

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Zhang, Y., Palacios, J., Zhang, E. (2015). Topology of 3D Linear Symmetric Tensor Fields. In: Hotz, I., Schultz, T. (eds) Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-15090-1_4

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