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- Lambertus Hesselink, Yuval Levy, Yingmei Lavin
- IEEE Trans. Vis. Comput. Graph.
- 1997

We study the topology of symmetric, second-order tensor elds. The results of this study can be readily extended to include general tensor elds through linear combination of symmetric tensor elds and vector elds. The goal is to represent their complex structure by a simple set of carefully chosen points, lines and surfaces analogous to approaches in vector… (More)

- Yingmei Lavin, Rajesh Batra, Lambertus Hesselink
- IEEE Visualization
- 1998

In this paper, a novel approach is introduced to define a quantitative measure of closeness between vector fields. The usefulness of this measurement can be seen when comparing computational and experimental flow fields under the same conditions. Furthermore, its applicability can be extended to more cumbersome tasks such as navigating through a large… (More)

- Yingmei Lavin, Yuval Levy, Lambertus Hesselink
- IEEE Visualization
- 1997

We study the topology of second-order symmetric tensor fields. Degenerate points are basic constituents of tensor fields. They play a role similar to critical points in vector topology. From the set of degenerate points, an experienced researcher can reconstruct a whole tensor field. In thii paper, we address the conditions for the existence of degenerate… (More)

- Yingmei Lavin, D. Amnon Silverstein, Xuemei Zhang
- Human Vision and Electronic Imaging
- 1999

Combinatorial topology, also known as \rubber sheet geometry", has extensive applications in geometry and analysis, many of which result from connections with the theory of di erential equations. A link between topology and di erential equations is vector elds. Recent developments in scienti c visualization have shown that vector elds also play an important… (More)

- Xuemei Zhang, Yingmei Lavin, D. Amnon Silverstein
- Human Vision and Electronic Imaging
- 2001

We study the topology of 3-D symmetric tensor elds. The goal is to represent their complex structure by a simple set of carefully chosen points and lines analogous to vector eld topology. The basic constituents of tensor topology are the degenerate points, or points where eigenvalues are equal to each other. First, we introduce a new method for locating 3-D… (More)

- Yingmei Lavin, Rajesh Batra, Lambertus Hesselink
- SIGGRAPH Abstracts and Applications
- 1998

visualization and the physical science communities. However, to our knowledge, almost no work has been done on quantitative measurements for vector-field comparisons. In this sketch, a novel approach is introduced to define a quantitative measure of closeness between vector fields. The usefulness of this measurement can be seen when comparing computational… (More)

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