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dc.contributor.authorLevine, Joshuaen_US
dc.contributor.authorJadhav, Shreerajen_US
dc.contributor.authorBhatia, Harshen_US
dc.contributor.authorPascucci, Valerioen_US
dc.contributor.authorBremer, Peer-Timoen_US
dc.contributor.editorS. Bruckner, S. Miksch, and H. Pfisteren_US
dc.date.accessioned2015-02-28T07:01:45Z
dc.date.available2015-02-28T07:01:45Z
dc.date.issued2012en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttp://dx.doi.org/10.1111/j.1467-8659.2012.03087.xen_US
dc.description.abstractAnalysis and visualization of complex vector fields remain major challenges when studying large scale simulation of physical phenomena. The primary reason is the gap between the concepts of smooth vector field theory and their computational realization. In practice, researchers must choose between either numerical techniques, with limited or no guarantees on how they preserve fundamental invariants, or discrete techniques which limit the precision at which the vector field can be represented. We propose a new representation of vector fields that combines the advantages of both approaches. In particular, we represent a subset of possible streamlines by storing their paths as they traverse the edges of a triangulation. Using only a finite set of streamlines creates a fully discrete version of a vector field that nevertheless approximates the smooth flow up to a user controlled error bound. The discrete nature of our representation enables us to directly compute and classify analogues of critical points, closed orbits, and other common topological structures. Further, by varying the number of divisions (quantizations) used per edge, we vary the resolution used to represent the field, allowing for controlled precision. This representation is compact in memory and supports standard vector field operations.en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.titleA Quantized Boundary Representation of 2D Flowsen_US
dc.description.seriesinformationComputer Graphics Forumen_US


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