Extracting Jacobi Structures in Reeb Spaces

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dc.contributor.authorChattopadhyay, Amiten_US
dc.contributor.authorCarr, Hamishen_US
dc.contributor.authorDuke, Daviden_US
dc.contributor.authorGeng, Zhaoen_US
dc.contributor.editorN. Elmqvist and M. Hlawitschka and J. Kennedyen_US
dc.date.accessioned2014-12-16T07:21:06Z
dc.date.available2014-12-16T07:21:06Z
dc.date.issued2014en_US
dc.description.abstractJacobi 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.en_US
dc.description.seriesinformationEuroVis - Short Papersen_US
dc.identifier.isbn978-3-905674-69-9en_US
dc.identifier.urihttps://doi.org/10.2312/eurovisshort.20141156en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectKeywordsen_US
dc.subjectTopological analysisen_US
dc.subjectMultien_US
dc.subjectFielden_US
dc.subjectReeb spaceen_US
dc.subjectJacobi seten_US
dc.subjectMultien_US
dc.subjectDimensional Reeb Graphen_US
dc.subjectJCNen_US
dc.subjectI.3.6 [Computer Graphics]en_US
dc.subjectMethodology andTechniquesen_US
dc.subjectGraphics data structures and data typesen_US
dc.titleExtracting Jacobi Structures in Reeb Spacesen_US
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