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ID:39715300
大小:3.24 MB
页数:10页
时间:2019-07-09
《Hexahedral mesh generation CubeCover algorithm》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、EurographicsSymposiumonGeometryProcessing2011Volume30(2011),Number5MarioBotschandScottSchaefer(GuestEditors)CUBECOVER–Parameterizationof3DVolumesM.Nieser,U.ReitebuchandK.PolthierFreieUniversitätBerlin,Germany†AbstractDespitethesuccessofquad-based2Dsurfaceparameterizationmethods,eff
2、ectiveparameterizationalgorithmsfor3Dvolumeswithcubes,i.e.hexahedralelements,arestillmissing.CUBECOVERisafirstapproachforgeneratingahexahedraltessellationofagivenvolumewithboundaryalignedcubeswhichareguidedbyaframefield.TheinputofCUBECOVERisatetrahedralvolumemesh.First,aframefieldisde
3、signedwithmanualinputfromthedesigner.Itguidestheinteriorandboundarylayoutoftheparameterization.Then,theparameterizationandthehexahedralmesharecomputedsoastoalignwiththegivenframefield.CUBECOVERhassimilaritiestotheQUADCOVERalgorithmandextendsitfrom2Dsurfacesto3Dvolumes.Thepaperalsopr
4、ovidestheoreticalresultsfor3Dhexahedralparameterizationsandanalysestopologicalpropertiesoftheappropriatefunctionspace.CategoriesandSubjectDescriptors(accordingtoACMCCS):I.3.5[ComputerGraphics]:Curve,surface,solid,andobjectrepresentations—ComputationalGeometryandObjectModelingCUBECO
5、VERisafirstapproachtounfoldagiven3DvolumeintoR3withoutfixingtheboundarysurface.Ourapproachcomputesahexahedralparameterizationfromagiventetrahedralrepresentation.Conceptually,CUBE-COVERextendsthesurfaceparameterizationalgorithmQUADCOVER[KNP07]fromsurfacesto3Dvolumes.Acleanandnon-degen
6、eratevolumeparameterizationde-finesahexahedralmeshsuitableforPDEsolvingaswellasamultilevelhierarchyofnestedmeshes.Suchhexahe-dralmeshesoftenenhancethespeedandaccuracyofPDEFigure1:Sectionthroughtherockerarmvolume.Hexahe-solverssignificantly.Parameterizationscanfurthermorebedralmeshcom
7、putedwithCUBECOVER.usedforvolumesamplingor3Dtexturesynthesis.Thepresentedapproachanalyzestheproblemofvol-umeparameterizationfromatheoreticalviewpoint.Aproperspaceofparameterizationswithsingularitiesisdefined.For1.Introductionquadrangularparameterizationsonsurfaces,asingularityThefiel
8、dofsurfaceparameterization
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