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.
Description
@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}
}