Boundary Representation Modelling Techniques

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1、IanStroudBoundaryRepresentationModellingTechniquesContents1Introduction11.1Background11.2Representationsforsolidmodelling31.2.1Celldecomposition31.2.2Generalsweeping31.2.3Settheoretic51.2.4Boundaryrepresentation51.3Implicationsforcommercialisation61.4Productmodelling72Mo

2、dellingBackground112.1TheBUILDsystem132.2Baumgartandthewinged-edgerepresentation142.3BUILDsystem:Developmentsandextensions162.4TheGPMproject192.5Featurerecognitionandfeaturesinmodelling222.6Non-manifoldmodelling232.7Modellingsystemimplementation242.8Researchdirections253

3、Datastructuresandtools293.1Modellingdatastructures293.1.1Openquestions323.1.2Elementsofthedatastructure343.1.3Geometry393.1.4Arbitraryrepresentations413.2Topologicalconnections423.3Modellingfacilities473.3.1Traversingallrelatedelementsinastructure573.3.2Singleentitytrave

4、rsals673.3.3Topologicalutilities683.3.4Geometricinterrogations703.3.5Generalutilities73IXCONTENTS3.4Assemblystructures743.4.1Determiningtheassemblystructure753.4.2Handlinginstances803.4.3Constraintsorconnections803.4.4Mechanismlibraries81Euleroperators834.1Spanningsetsan

5、ddecompositions844.2Restrictions91Specialrepresentations935.1Conversionsbetweenrepresentations975.2Modellingoperationsonspecialmodels1035.2.1Settingawireframemodelinasurface1035.2.2Blendingandchamfering1065.2.3Sweeping1085.2.4Joiningandsplittingalongedges1105.2.5Planarse

6、ctioning1125.2.6Booleanoperations1145.2.7Shellingobjects1155.2.8Unfoldingmodels1155.3Compoundmodels1195.4Conclusions122Stepwisemodellingalgorithms1256.1Booleanoperations1266.1.1FindingtheBooleaninteractions1276.1.2Specialcasesinintersectionboundarycreation1326.1.3Creatin

7、gtheintersectionboundary1336.1.4Mergingtheobjects(creatingnewshells)1356.1.5Booleanoperationswithassemblies1396.1.6LocalBooleanoperations1416.2Sweeping/Swinging1426.2.1Improvedsweep/swingalgorithm1456.2.2Sweepingalongapath1516.3Sweepingwireframemodels1536.3.1Firstalgorit

8、hm1556.3.2Non-Eulerianedgesweeping1556.3.3Eulerianedgesweeping1576.3.4Secondalgorithm1586.3.5Swingingfl