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dc.contributor.authorBarton, Michael*
dc.contributor.authorKosinka, Jin*
dc.contributor.authorCalo, Victor M.*
dc.date.accessioned2015-08-03T12:34:48Zen
dc.date.available2015-08-03T12:34:48Zen
dc.date.issued2015-05en
dc.identifier.issn15240703en
dc.identifier.doi10.1016/j.gmod.2015.01.002en
dc.identifier.urihttp://hdl.handle.net/10754/564166en
dc.description.abstractWe study the problem of finding stretch-minimising stream surfaces in a divergence-free vector field. These surfaces are generated by motions of seed curves that propagate through the field in a stretch minimising manner, i.e., they move without stretching or shrinking, preserving the length of their arbitrary arc. In general fields, such curves may not exist. How-ever, the divergence-free constraint gives rise to these 'stretch-free' curves that are locally arc-length preserving when infinitesimally propagated. Several families of stretch-free curves are identified and used as initial guesses for stream surface generation. These surfaces are subsequently globally optimised to obtain the best stretch-minimising stream surfaces in a given divergence-free vector field. Our algorithm was tested on benchmark datasets, proving its applicability to incompressible fluid flow simulations, where our stretch-minimising stream surfaces realistically reflect the flow of a flexible univariate object. © 2015 Elsevier Inc. All rights reserved.en
dc.publisherElsevier BVen
dc.subjectArc-length preservationen
dc.subjectDivergence-free vector fielden
dc.subjectFlow visualisationen
dc.subjectStream surfaceen
dc.titleStretch-minimising stream surfacesen
dc.typeArticleen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)*
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division*
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division*
dc.contributor.departmentEnvironmental Science and Engineering Program*
dc.identifier.journalGraphical Modelsen
dc.contributor.institutionComputer Laboratory, University of Cambridge, 15 JJ Thomson Avenue, Cambridge, United Kingdom*
kaust.authorBarton, Michael*
kaust.authorCalo, Victor M.*


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