Extracting Jacobi Structures in Reeb Spaces

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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Jacobi sets have been identified as significant in multi-field topological analysis, but are defined in the domain ofthe data rather than in the Reeb Space. This distinction is significant, as exploiting multi-field topology actuallydepends on the projection of the Jacobi set into the Reeb Space, and the details of its internal structure. Wetherefore introduce the Jacobi Structure of a Reeb Space which describes this, explain its relationships with boththe Jacobi Set and Fiber Analysis in mathematical topology, give an algorithm for computing the Jacobi Structurerecursively using a Multi-Dimensional Reeb Graph and illustrate it using an early implementation in VTK.
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@inproceedings{
:10.2312/eurovisshort.20141156
, booktitle = {
EuroVis - Short Papers
}, editor = {
N. Elmqvist and M. Hlawitschka and J. Kennedy
}, title = {{
Extracting Jacobi Structures in Reeb Spaces
}}, author = {
Chattopadhyay, Amit
and
Carr, Hamish
and
Duke, David
and
Geng, Zhao
}, year = {
2014
}, publisher = {
The Eurographics Association
}, ISBN = {
978-3-905674-69-9
}, DOI = {
/10.2312/eurovisshort.20141156
} }
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