Hexahedral mesh generation CubeCover algorithm

《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