简介：Inthispaper,asubdivisionschemewhichgeneralizesasurfaceschemeinpreviouspaperstovolumemeshesisdesigned.Theschemeexhibitssignificantcontrolovershrink-age/sizeofvolumetricmodels.Italsohastheabilitytoconvenientlyincorporateboundariesandcreasesintoasmoothlimitshapeofmodels.ThemethodpresentedhereismuchsimplerandeasierascomparedtoMacCrackenandJoy's.Thismethodmakesnorestrictionsonthelocaltopologyofmeshes.Particularly,itcanbeappliedwithoutanychangetomeshesofnonmanifoldtopology.

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简介：ＣＵＲＶＥＡＮＤＳＵＲＦＡＣＥＩＮＴＥＲＰＯＬＡＴＩＯＮＢＹＳＵＢＤＩＶＩＳＩＯＮＡＬＧＯＲＩＴＨＭＳＲｕｉｂｉｎＱｕＣＵＲＶＥＡＮＤＳＵＲＦＡＣＥＩＮＴＥＲＰＯＬＡＴＩＯＮＢＹＳＵＢＤＩＶＩＳＩＯＮＡＬＧＯＲＩＴＨＭＳ￥ＲｕｉｂｉｎＱｕＡｂｓｔｒａ...

简介：ThispaperproposesanovelstrategybasedonfragmentmeshesofShiueetal.forGPUrenderingofcompositesubdivisionsurfaces.Twoenumerationsystemsareestablishedtolabeltheprimitivesofeachfragmentmesh.Asector-layer-indexenumerationsystemisresponsibleforretrievingproximitiesforsubdivisionmaskswhileasector-indexenumerationsystemdesignatesa2DtexturebufferinGPU.Recurringtothefreeconversionbetweenthem,ourapproachmaygetridoflookuptablesthataredesignedtorecordsubdivisionmasks.Inaddition,relativelysmallcompositesubdivisionmasksmakeiteasytodevelopautomaticallyretrievingtechniques.Finally,ascenterverticesareoftenirregular,theircomputationisrelatedtoanaveragewithalterablenumberofitems.ConsideringthatvariableloopisnotefficientinGPU,weevaluatethecentervertexofeachfragmentmeshusingthelinearcombinationofitslevel0,level1andlimitpositionsinsteadofaveragingschemes.ExperimentsdemonstratethatourapproachgenerallyoutperformsthatofShiueetal.inFPSbyalongway.

简介：Inthiswork,anovelmethodforsculpturedsurfacesubdivisiontoimprovethemachinery'sabilityandefficiencyin5-axisCNCmachiningcomplexsurfaceisintroduced.Themethodsubdividesautomaticallyamonolithicconvexorconcaveorsimultaneouslycomplexsculpturedsurfaceintoanumberofsurfacepatchesandachievesthegoalofsimilarnormaldirectionsandsmalldifferencebetweenthecurvaturesineverypatchbyusingweightfuzzyclusteralgorithmwhichtakesthecurvaturesandnormalvectorsofthesculpturedsurfaceintoaccountsimultaneously.TheinclinationanglevariationbetweeneverytwoCutterContactPoints(CCPoints)isdecreasedineverypatchtoavoidlarge-anglerotationoftooltosavemachiningtimewhenaflat-endmillisused.Thisworkcontributestoautomating5-axisCNCtoolpathgenerationforsculpturedpartmachiningandformingafoundationforfurtherresearch.

简介：AnewmethodforconstructinginterpolatingLoopsubdivisionsurfacesispresented.ThenewmethodisanextensionoftheprogressiveinterpolationtechniqueforB-splines.GivenatriangularmeshM,theideaistoiterativelyupgradetheverticesofMtogenerateanewcontrolmeshMsuchthatlimitsurfaceofMwouldinterpolateM.ItcanbeshownthattheiterativeprocessisconvergentforLoopsubdivisionsurfaces.Hence,themethodiswell-defined.Thenewmethodhastheadvantagesofbothalocalmethodandaglobalmethod,i.e.,itcanhandlemeshesofanysizeandanytopologywhilegeneratingsmoothinterpolatingsubdivisionsurfacesthatfaithfullyresembletheshapeofthegivenmeshes.Themeshesconsideredherecanbeopenorclosed.

简介：在这份报纸，我们建议三削尖接近的分计划，与三个形状参数，那统一三不同存在三个点接近计划。为到C3连续性和为由使用劳伦多项式方法为参数的某些范围产生张肌产品表面的计划的集中的分曲线C0的一些足够的条件被讨论。曲线和表面设计的系统特别为衣服建模在服装CAD成功地基于我们的计划被开发了。

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简介：ＳＭＯＯＴＨＳＵＲＦＡＣＥＩＮＴＥＲＰＯＬＡＴＩＯＮＯＶＥＲＡＲＢＩＴＲＡＲＹＴＲＩＡＮＧＵＬＡＴＩＯＮＳＢＹＳＵＢＤＩＶＩＳＩＯＮＡＬＧＯＲＩＴＨＭＳＲｕｉｂｉｎＱｕＳＭＯＯＴＨＳＵＲＦＡＣＥＩＮＴＥＲＰＯＬＡＴＩＯＮＯＶＥＲＡＲＢＩＴＲＡＲＹＴＲ...

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简介：Anewalgorithmtocomputecontinuouswavelettransformsatdyadicscalesisproposedhere.Ourapproachhasasimilarimplementationwiththestandardalgorithmeatrousandcancoincidewithitintheonedimensionallowerordersplinecase.Ouralgorithmcanhavearbitraryorderofapproximationandisapplicabletothemultidimensionalcase.Wepresentthisalgorithminageneralcasewithemphasisonsplinesantiquastinterpolations.Numericalexamplesareincludedtojustifyourtheorericaldiscussion.

简介：Ageneralizednon-stationarycurvesubdivision(GNSforshort)schemeofarbitraryorderk≥3withaparameterhasbeenproposedbyFangetal.inthepaper(FangMei-eetal.,CAGD,2010(27):720-733).IthasbeenprovedthattheproposedschemeoforderkgeneratesCk-2continuouscurvesfork≥4.Buttheproofofthesmoothnessinthispaperisuncompleted.Moreover,theC1-continuityofthethirdorderschemehasnotbeendiscussed.Forthisreason,inthispaper,weprovideafullcorrectedproofofthesmoothnessoftheGNSschemeoforderkfork≥3.

简介：Inland-usedatageneralization,theremovalofinsignificantparcelwithsmallsizeisthemostfrequentlyusedoperator.Traditionallyforthegeneralizationmethod,thesmallparcelisassignedcompletelytooneofitsneighbors.Thisstudytriestoimprovethegeneralizationbyseparatingtheinsignificantparcelintopartsaroundtheweightedskeletonandassigningthesepartstodifferentneighbors.Thedistributionoftheweightedskeletondependsonthecompatibilitybetweentheremovedobjectanditsneighbor,whichconsidersnotonlytopologicalrelationshipbutalsodistancerelationshipandsemanticsimilarity.ThisprocessisbasedontheDelaunaytriangulationmodel.Thispapergivesthedetailedgeometricalgorithmsforthisoperation.

简介：SequenceboundaryisstudiedindetailinreferencetothePermianGuadalupianLopingianboundary,basedonhighresolutioncorrelationofconodootzones.Aconceptualsynchronousstratigraphicboundary,correspondingtotheageofthesequenceboundarydatedintheconformableportionofthesequenceboundary,isdefinedasthesequencechronostratigraphicboundary(SCB).Thesequenceboundaryisprovedtobedualinnatureinregardstothesynchronyanddiachroneityofstratigraphicboundaries.Themeritsofthesequenceboundaryinstratigraphicsubdivision,correlationandclassificationareelucidatedincomparisonwiththelithostratigraphicboundary,thebiostratigraphicboundaryandthetraditionalapproachoftheglobalstratotypesectionandpoint(GSSP).ByintegratingthevirtuesofthesequenceboundaryandtheGSSP,itisproposedthattheGSSPshouldbeestablishedintheconformableportionoftherelatedsequenceboundary.Theboundaryestablishedinlightofthisapproachisdefinedas

简介：BymeansofdirectanalysisoftheconnectionbetweenLoopsubdivisionsurfaceanditscontrolmeshandthecomputationofthebasisfunctions,weobtainaboundonthedistancebetweenLoopsubdivisionsurfacepatchanditscontrolmesh.Theboundcanbeusedtocomputethenumbersofsubdivisionforagiventolerance.Finally,twoexamplesarelistedinthispapertodemonstratetheapplicationsofthebound.

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