Two Simple Methods for Improving a Triangle Mesh Surface

dc.contributor.authorRenka, Robert J.en_US
dc.contributor.editorChen, Min and Zhang, Hao (Richard)en_US
dc.date.accessioned2016-09-27T10:02:02Z
dc.date.available2016-09-27T10:02:02Z
dc.date.issued2016
dc.description.abstractWe present two simple and efficient local methods that reposition vertices of a triangle mesh surface with the goal of producing good triangle shapes while preserving the enclosed volume and sharp features. The methods involve minimizing a quadratic energy functional with respect to variations in a tangent plane (or in the direction of a crease) at each free vertex. One of the methods is aimed at producing uniform angles, while the other method is designed to produce uniform triangle areas, or more generally, to force relative triangle areas to conform to curvature estimates or estimates of local feature size so that vertex density is low in flat spots and relatively high in regions of large curvature. Test results demonstrate the effectiveness of both methods, especially when combined.We present two simple and efficient local methods that reposition vertices of a triangle mesh surface with the goal of producing good triangle shapes while preserving the enclosed volume and sharp features. The methods involve minimizing a quadratic energy functional with respect to variations in a tangent plane (or in the direction of a crease) at each free vertex. One of the methods is aimed at producing uniform angles, while the other method is designed to produce uniform triangle areas, or more generally, to force relative triangle areas to conform to curvature estimates or estimates of local feature size so that vertex density is low in flat spots and relatively high in regions of large curvature. Test results demonstrate the effectiveness of both methods, especially when combined.en_US
dc.description.number6
dc.description.sectionheadersArticles
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume35
dc.identifier.doi10.1111/cgf.12731
dc.identifier.issn1467-8659
dc.identifier.pages46-58
dc.identifier.urihttps://doi.org/10.1111/cgf.12731
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf12731
dc.publisherCopyright © 2016 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectmesh improvement
dc.subjectmesh smoothing
dc.subjectsurface mesh
dc.subjectfeature‐preserving
dc.subjectI.3.5 [Computer Graphics]: Computational Geometry and Object Modelling—Curve, surface, solid and object representations
dc.titleTwo Simple Methods for Improving a Triangle Mesh Surfaceen_US
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