简介:Geometriccomputingisanimportanttoolindesignandmanufacturingandinarts.Conventionally,geometriccomputingistakenbyalgebraiccomputing.Thevividintuitionofobjectsinvisualizationislostinnumericfunctions,whichishoweververyusefultohumancognitionaswellasemotion.Inthispaper,weproposedaconceptandtheoryofgeometricbasis(GB)asthesolvingcellforgeometriccomputing.EachGBrepresentsabasicgeometricoperation.GBworksasbothexpressingandsolvingcelljustliketheconceptofbasisinlinearalgebrabywhicheveryelementofthevectorspacecanbeexpressed.For3Dproblems,withaprocedureofaprojectionsreduction,theproblemcanbereducedtoplaneandthereductionfunctioncanbedesignedasaGB.AsequenceofGBcanconstructahigherlayerGB.Then,bythetraversaloftree,asequenceofGBisgotandthissequenceisjusttheconstructionprocessandalsothesolutionofthisgeometricproblem.
简介:Thispaperproposesanewcellintuitionsimulationmethodwhichisacombinationofintuitivesimulationcalculationmethodandtheoperationofbinaryimage,andapplieditintheinnovationofthegraphicdesignprocess.Firstofall,westudyhowtoexpressavarietyofgraphics,andestablishthedefinitionofcellintuitivemodel,workoutthecellintuitiveoperationprocessandmanynewcellularoperatorssuchasavarietyofmatrixblockscrossoveroperator,avarietyofmatrixblocksmutationoperator,matrixblocksreplaceoperator,matrixblockscompressionoperator,matrixblocksextensionoperator.Bychoosingtwoormorecellsandselectingtheartificialselectionorfitnessselection,wecansetupandvisualizethedesignandpickthebestdesignresults.Finally,validationismadeonthisalgorithmbyanexample,andainnovationgraphicisalsorepresented.
简介:Inordertoenhancethebearingcapacityofnon-circulargearpair,thenon-circulargearpairwithdoublegeneratinganglesisproposedbasedonthedesignideaofunsymmetricalgearwithdoublepressureangles.Thetoothprofileisdesignedbygeneratingcuttingtheory,thepurerollingmathematicmodelthatthecenterlineofunsymmetricalrackrollalongnon-circularpitchcurveisbuilt,thedigitalmodelofnon-circulargearwithdoublegeneratinganglesiscreatedthroughtheseconddevelopmentmethodofCADsoftware,andthenthedrivecharacteristicandtoothstrengthareanalyzed.Theresultsshowthatthedesignmethodfordoublegeneratinganglesnon-circulargearproposedinthispaperisfeasible,whichissignificanttoimprovethebearingcapacityofnon-circulargearpair.
简介:In3Dmodelsretrieval,featuredescriptionandretrievalofnon-rigidmodelfacemorecomplexproblemsduetotheisometrytransformationofitself.Weintroducethehierarchicalcombinationmatchingintothefeaturecomparison,andbuildamapbetweenthedividedregionsoftwomodels,andthenachieveaccuratefeaturematchingbasedonpatch-by-patch,whichsuccessfullyintroducesthespatialinformationintofeaturematching.Verifiedbyexperiment,the3Dmodelretrievalmethodproposedinthispaperbasedonhierarchicalcombinationmatchingcanmakesuremoreaccuratefeaturematching,soastoenhancetheprecisionofretrieval.