A Constrained Resampling Strategy for Mesh Improvement

dc.contributor.authorAbdelkader, Ahmeden_US
dc.contributor.authorMahmoud, Ahmed H.en_US
dc.contributor.authorRushdi, Ahmad A.en_US
dc.contributor.authorMitchell, Scott A.en_US
dc.contributor.authorOwens, John D.en_US
dc.contributor.authorEbeida, Mohamed S.en_US
dc.contributor.editorBærentzen, Jakob Andreas and Hildebrandt, Klausen_US
dc.date.accessioned2017-07-02T17:37:56Z
dc.date.available2017-07-02T17:37:56Z
dc.date.issued2017
dc.description.abstractIn many geometry processing applications, it is required to improve an initial mesh in terms of multiple quality objectives. Despite the availability of several mesh generation algorithms with provable guarantees, such generated meshes may only satisfy a subset of the objectives. The conflicting nature of such objectives makes it challenging to establish similar guarantees for each combination, e.g., angle bounds and vertex count. In this paper, we describe a versatile strategy for mesh improvement by interpreting quality objectives as spatial constraints on resampling and develop a toolbox of local operators to improve the mesh while preserving desirable properties. Our strategy judiciously combines smoothing and transformation techniques allowing increased flexibility to practically achieve multiple objectives simultaneously. We apply our strategy to both planar and surface meshes demonstrating how to simplify Delaunay meshes while preserving element quality, eliminate all obtuse angles in a complex mesh, and maximize the shortest edge length in a Voronoi tessellation far better than the state-of-the-art.en_US
dc.description.number5
dc.description.sectionheadersTriangulations
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume36
dc.identifier.doi10.1111/cgf.13256
dc.identifier.issn1467-8659
dc.identifier.pages189-201
dc.identifier.urihttps://doi.org/10.1111/cgf.13256
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13256
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]
dc.subjectComputational Geometry and Object Modeling
dc.subjectCurve
dc.subjectsurface
dc.subjectsolid
dc.subjectand object representations
dc.titleA Constrained Resampling Strategy for Mesh Improvementen_US
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