The 3D Motorcycle Complex for Structured Volume Decomposition

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dc.contributor.authorBrückler, Hendriken_US
dc.contributor.authorGupta, Ojaswien_US
dc.contributor.authorMandad, Manishen_US
dc.contributor.authorCampen, Marcelen_US
dc.contributor.editorChaine, Raphaëlleen_US
dc.contributor.editorKim, Min H.en_US
dc.date.accessioned2022-04-22T06:27:52Z
dc.date.available2022-04-22T06:27:52Z
dc.date.issued2022
dc.description.abstractThe so-called motorcycle graph has been employed in recent years for various purposes in the context of structured and aligned block decomposition of 2D shapes and 2-manifold surfaces. Applications are in the fields of surface parametrization, spline space construction, semi-structured quad mesh generation, or geometry data compression. We describe a generalization of this motorcycle graph concept to the three-dimensional volumetric setting. Through careful extensions aware of topological intricacies of this higher-dimensional setting, we are able to guarantee important block decomposition properties also in this case. We describe algorithms for the construction of this 3D motorcycle complex on the basis of either hexahedral meshes or seamless volumetric parametrizations. Its utility is illustrated on examples in hexahedral mesh generation and volumetric T-spline construction.en_US
dc.description.number2
dc.description.sectionheadersGeometry
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume41
dc.identifier.doi10.1111/cgf.14470
dc.identifier.issn1467-8659
dc.identifier.pages221-235
dc.identifier.pages15 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.14470
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14470
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectCCS Concepts: Computing methodologies --> Computer graphics; Mesh models; Mesh geometry models; Shape modeling
dc.subjectblock-structured
dc.subjectmulti-block
dc.subjectT-mesh
dc.subjecthexahedral mesh
dc.subjectvolume mesh
dc.subjectblock decomposition
dc.subjectbase complex
dc.subjectComputing methodologies
dc.subjectComputer graphics
dc.subjectMesh models
dc.subjectMesh geometry models
dc.subjectShape modeling
dc.titleThe 3D Motorcycle Complex for Structured Volume Decompositionen_US
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