简介:Wedevelopadatadrivenmethod(probabilitymodel)toconstructacompositeshapedescriptorbycombiningapairofscale-basedshapedescriptors.Theselectionofapairofscale-basedshapedescriptorsismodeledasthecomputationoftheunionoftwoevents,i.e.,retrievingsimilarshapesbyusingasinglescale-basedshapedescriptor.Thepairofscale-basedshapedescriptorswiththehighestprobabilityformsthecompositeshapedescriptor.Givenashapedatabase,thecompositeshapedescriptorsfortheshapesconstituteaplanarpointset.AVoR-Treeoftheplanarpointsetisthenusedasanindexingstructureforefficientqueryoperation.Experimentsandcomparisonsshowtheeffectivenessandefficiencyoftheproposedcompositeshapedescriptor.
简介:InCAD/CAM,meshratherthansmoothsurfaceisonlyneededsometimes.Amesh-generatingmethodfrompermanenceprincipleofCoonspatchisdeveloped.Anewmeshpointisdefinedthroughlocalsmallsubpatchandallmeshpointsarecomputedbyalinearsystemwithspecialsymmetricblocktridiagonalcoefficientmatrix.Bysimplification,thedeterminantofcoefficientmatrixisdeterminedbydeterminantsofsubmatrices.Conditionofexistenceofsolutionisgiven.Whethercoefficientmatrixissingularcanbejudgedbyasimplepolynomialfunctionwiththeeigenvalueofsubmatrixasvariable.Numericalexamplesdemonstratetheeffectsofshapeparameters.
简介:Molecularmaterialsarethoseconstitutedbyweakintermolecularinteractions(e.g.,interac-tion,hydrogenbonding,andvanderWaalsforce)betweenindividualcomponentmolecules.Whileconventionalsemiconductingmaterialsareconstitutedbystrongintermolecularinteractions(e.g.,covalentbonding,metallicbonding,and
简介:高贵金属性的nanostructures展览专辑光性质源于表面电浆子的刺激。在各种各样的金属性的nanostructures之中,因为他们的唯一、吸引人的形状依赖者plasmonic性质,nanorods吸引了特别注意。Nanorods能支持横向、纵的电浆子模式,后者一强烈取决于nanorod的方面比率。这些模式能习惯性地被调节从对可见在红外线附近光谱区域。尽管nanorods广泛地被调查了,有很少研究,奉献给从nanorod形状背离的nanostructures。这评论在二种新奇quasi-one-dimensional银nanostructures,nanorice和nanocarrot的开发提供最近的进步的概述,包括他们在察觉到应用程序的plasmonic的综合体,水晶的描述,plasmonic性质分析,和性能。
简介:Weestablishtheconceptofshapesoffunctionsbyusingpartialdifferentialinequalites.Ourdefinitionaboutshapesincludessomeusualshapessuchasconvex,subharmonic,etc.,andgivesmanynewshapesoffunctions.Themainresultsshowthattheshapepreservingapproxi-mationhascloserelationtotheshapepreservingextension.Oneofourmainresultsshowsthatiff∈C(Ω)hassomeshapedefinedbyourdefinition,thenfcanbeuniformlyapproximatedbypolynomialsPn∈pn(n∈N)whichhavethesameshapeinΩ,andthedegreeoftheap-proximationisCω(f,n-β)withconstantsC,β>0.
简介:Confinementcaninduceunusualbehaviorsofwater.Inspiredbythefabricationofcarbonnanotubeswithnoneircularcrosssections,weperformedmoleculardynamicssimulationstoinvestigatethemo-bilitiesofwaterconfinedincarbonnanochannelswithcircular,square,andequilateraltriangularcrosssectionsoveravarietyofdimensions.Wefindthatwaterexhibitsdisparatemobilitiesacrossdifferenttypesofchannelsbelow0.796nm^2.Notably,comparedwiththeothertwochannels,waterinequi-lateraltriangularchannelsdisplaysthegreatestmobilities.Moreover,at0.425nm^2,differentorderedstructuresarefoundinthethreechannels,andwaterinsidethesquarechannelexhibitsanextremelylowInobility.Itisalsofoundthatabove0.796nm^2,themobilitiesalongthetubeaxisofwatercon-vergetothatofthebulk.Thesephenomenaareunderstoodbyanalyzingthestructure,dynamics,andhydrogenbondingofwater.Ourworkexploresthemobilitiesofwateracrossnoncireularcarbonnanoehannels,whichmayexpandtheprospectofnoneireularnanochannelsinscientificstudiesandpracticalapplications,suchasdesalinationanddrugdelivery.
简介:Fortheimageofasmoothsurfaceobjectfullycontainedwithinthefieldofviewandilluminatedinandarbitrarydirection,thispaperdiscussestheexistenceanduniquenessotheconditionsforsolvingashape-from-shadingproblemundertheconditionsthattheFourierseriesexpansionoftheimageintensitycontainsonlyzeroandfirstordertermsinapolarcoordinatesystem.Threetheoremsareestablished,onefortheexistenceandtwofortheuniquenessofz-axissymmetricshapefromshading.
简介:Anorthorhombicpolycrystalisanorthorhombicaggregateoftinycrystallites.Inthispaper,westudytheeffectofthecrystallinemeanshapeontheconstitutiverelationoftheorthorhombicpolycrystal.Thecrystallinemeanshapeandthecrystallineorientationarrangementaredescribedbythecrystallineshapefunction(CSF)andtheorientationdistributionfunction(ODF),respectively.TheCSFandtheODFareexpandedasaninfiniteseriesintermsoftheWignerD-functions.TheexpandedcoefficientsoftheCSFandtheODFarecalledtheshapecoefficientssm0landthetexturecoefficientscmnlrespectively.AssumingthatCeffintheconstitutiverelationdependsontheshapecoefficientssm0landthetexturecoefficientscmnl,bytheprincipleofmaterialframe-indifferencewederiveananalyticalexpressionforCeffuptotermslinearinsm0landcmnl,andtheexpressionwouldbeapplicabletothepolycrystalwhosetextureisweakandwhosecrystallinemeanshapehasweakanisotropy.Ceffcontainssixunspecifiedmaterialconstants(λ,μ,c,s1,s2,s3),fiveshapecoefficients(s020,s220,s400,s420,s440),andthreetexturecoefficients(c400,c420,c440).Theresultsbasedontheperturbationapproachareusedtodeterminethefivematerialconstantsapproximately.Wealsofindthattheshapecoefficientss2m0ands4m0areallzeroifthecrystallinemeanshapeisacuboid.Someexamplesaregiventocompareourcomputationalresults.
简介:AlayeredsimulationmodelwithstairstepcontourisbuiltfromAutoCADthroughextrudingeachsuccessivesectioncontourhavingbeencompensatedindimensionstomeettheapplicationrequirementsoftheRPpart.InsuchawaytheshapeandsizetoleranceoftheRPproductcouldbeverifiedbeforehandpromptlyandprecisely.
简介:Alotof3Dshapedescriptorsfor3Dshaperetrievalhavebeenpresentedsofar.Thispaperproposesanewmechanism,whichemploysseveralexistingglobalandlocal3Dshapedescriptorsasinput.Withthesparsetheory,somedescriptorswhichplaythemostimportantroleinmeasuringsimilaritybetweenquerymodelandthemodelinthedatasetareselectedautomaticallyandanaffinitymatrixisconstructed.Spectralclusteringmethodcanbeimplementedtothisaffinitymatrix.Spectralembeddingofthisaffinitymatrixcanbeappliedtoretrieval,whichintegratingalmostalltheadvantagesofselecteddescriptors.Inordertoverifytheperformanceofourapproach,weperformexperimentalcomparisonsonPrincetonShapeBenchmarkdatabase.Testresultsshowthatourmethodisapose-oblivious,efficientandrobustnessmethodforeithercompleteorincompletemodels.