简介:BymeansofdirectanalysisoftheconnectionbetweenLoopsubdivisionsurfaceanditscontrolmeshandthecomputationofthebasisfunctions,weobtainaboundonthedistancebetweenLoopsubdivisionsurfacepatchanditscontrolmesh.Theboundcanbeusedtocomputethenumbersofsubdivisionforagiventolerance.Finally,twoexamplesarelistedinthispapertodemonstratetheapplicationsofthebound.
简介:Inthispaper,anewmethodoftopologicalcleanupforquadrilateralmeshispresented.Themethodfirstselectsapatchofmesharoundanirregularnode.Itthenseeksthebestconnectionoftheselectedpatchaccordingtoitsirregularvalenceusinganewtopologicaloperation:smallpolygonreconnection(SPR).Byreplacingtheoriginalpatchwithanoptimalonethathaslessirregularvalence,meshqualitycanbeimproved.Threeapplicationsbasedontheproposedapproachareenumerated:(1)improvingthequalityofaquadrilateralmesh,(2)convertingatriangularmeshtoaquadrilateralone,and(3)adaptingatrianglegeneratortoaquadrilateralone.Thepresentedmethodishighlyeffectiveinallthreeapplications.