简介:Thispaperpresentsanewmethodforrobustandaccurateopticalflowestimation.Thesig-nificanceofthisworkistwofold.Firstly,theideaofbi-directionalschemeisadoptedtoreducethemodelerrorofopticalflowequation,whichallowsthesecondorderTaylor'sexpansionofopticalflowequationforaccuratesolutionwithoutmuchextracomputationalburden;Secondly,thispaperestablishsanewopticalflowequationbasedonLSCM(LocalStructureConstancyModel)insteadofBCM(BrightnessConstancyModel),namelytheopticalflowequationdoesnotactonscalarbutontensor-valued(ma-trix-valued)field,duetothetworeason:(1)structuretensor-valuecontainslocalspatialstructureinformation,whichprovidesusmoreuseablecuesforcomputationthanscalar;(2)localimagestructureislesssensitivetoilluminationvariationthanintensity,whichweakensthedisturbanceofnon-uniformilluminationinrealsequences.Qualitativeandquantitativeresultsforsyntheticandreal-worldscenesshowthatthenewmethodcanproduceanaccurateandrobustresults.
简介:Asweknow,Newton'sinterpolationpolynomialisbasedondivideddiffer-enceswhichcanbecalculatedrecursivelybythedivided-differenceschemewhileThiele'sinterpolatingcontinuedfractionsaregearedtowardsdeterminingarationalfunctionwhichcanalsobecalculatedrecursivelybyso-calledinversedifferences.Inthispaper,bothNewton'sinterpolationpolynomialandThiele'sinterpolatingcontinuedfractionsareincorporatedtoyieldakindofbivariatevectorvaluedblendingrationalinterpolantsbymeansoftheSamelsoninverse.Blendingdifferencesareintroducedtocalculatetheblendingrationalinterpolantsrecursively,algorithmandmatrix-valuedcasearedis-cussedandanumericalexampleisgiventoillustratetheefficiencyofthealgorithm.
简介:Theunsteadyhydrodynamicsofabiomimeticfinattachedtoacylindricalbodyhasbeenstudiednumericallyusingacomputationalfluiddynamic(CFD)simulatorbasedonanin-housesolveroftheNavier-Stokesequations,combinedwitharecentlydevelopedmulti-block,oversetgridmethod.Thefin-bodyCFDmodelisbasedonamechanicalpectoralfindevice,whichconsistsofacylindricalbodyandanasymmetricfinandcanmimicflapping,rowingandfeatheringmotionsofthepectoralfinsinfishes.Firstthemulti-block,oversetgridmethodincorporatedintotheNSsolverwasverifiedthroughanextensivestudyofunsteadyflowspastasinglefinundergoingrowingandfeatheringmotion.Thenunsteadyflowspastthebiomimeticfin-bodymodelundergoingthesamemotionswerecomputedandcomparedwiththemeasurementsofforcesofthemechanicalpectoralfin,whichshowsgoodagreementinbothtime-varyingandtime-averagedhydrodynamicforces.Therelationshipbetweenforcegenerationandvortexdynamicspointstotheimportanceofthematchinfinkinematicsbetweenpowerandrecoverystrokesandimpliesthatanoptimalselectionofparametersofphaselagsbetweenandamplitudesofrowingandfeatheringmotionscanimprovetheperformanceoflabriformpropulsionintermsofeithermaximumforcegenerationorminimummechanicalpower.
简介:ThispaperpresentsamethodforthecomputationoftheStokesfor-mulausingtheFastHartleyTransform(FHT)techniques.Thealgorithmismostsuitableforthecomputationofrealsequencetransform,whiletheFastFourierTransform(FFT)techniquesaremoresuitableforthecomputatonofcomplexse-quencetransform.Amethodofsphericalcoordinatetransformationispresentedinthispaper.Bythismethodtheerrors,whichareduetotheapproximatetermintheconvolutionofStokesformula,canbeeffectivelyeliminated.Somenumericaltestsaregiven.ByacomparisonwithbothFFTtechniquesandnumericalintegra-tionmethod,theresultsshowthattheresultingvaluesofgeoidalundulationsbyFHTtechniquesarealmostthesameasbyFFTtechniques,andthecomputation-alspeedofFHTtechniquesisabouttwotimesfasterthanthatofFFTtechniques.
简介:ThispapershowsafairlysimplemethodofliftingChandramatricestoexplainGoldbachconjecture,byliftingwemeantoaddanaturenumbertoeveryelementofthematrix,inthiswayweconstructedasetofChandramatrices,whichareequivalenttoamodulooperationsforaprimecheck.Theadvantageofthismethodisthatitoffersaquickcomputationoflargeprimepartitionforencryptionkeyapplication.Inthispaper,itshowsthatallpositiveevenintegersn≥40canbeexpressedasthesumoftwoprimes,thosen<40aretrivialcases.Wecomputedforn=40to400000selectivelywithMatlabprogram.Fromwhich,wecanverifythattheconjectureiscorrect,andwecanuseittoconstructthepseudorandomkeyforencryptionkeyexchanges.
简介:ThispaperintroducesakindofsemanticcomputationandpresentshowtocombineitintoourChineseQuestion-Answering(QA)system.Basedontwokindsoflanguageresources,HownetandCilin,wepresentanapproachtocomputingthesimilarityandrelevancybetweenwords.Usingtheseresults,wecancalculatetherelevancybetweentwosentencesandthengettheoptimalanswerforthequeryinthesystem.ThecalculationadoptsquantitativemethodsandcanbeincorporatedintoQAsystemseasily,avoidingsomedifficultiesinconven-tionalNLP(NaturalLanguageProcessing)problems.Theexperimentsshowthattheresultsaresatisfactory.
简介:-Thispaperpresentsacalculationmethodforthediffractionofbothregularwavesandirregularwavesofthesingledirectionalfrequencyspectrumbehindasinglejettywithatheoreticalanalysis,whichhasbeenconfirmedthroughthemodelexperiments,derivesamethodofcomputingthediffractedirregularwavesbehindthesinglejettywiththetheoreticalanalysisonthebasisofcomputationofthefielddataandgivestheformulasandthefiguresofthecomputationofwavediffractionsbehindtheverticalwallormoundsinglejetties.
简介:Thecoefficientofdeffractionofregularwavesbehindthedoublejettyhasbeencomputedinthispaperatfirstbyusingthesingularitydistributionmethod.Themodeltestsconductedfordiffractionofirregularwaveswithaunidirectionalfrequencyspectrumhaveconfirmedgoodagreementbetweenthedatameasuredinexperimentsandtheresultscomputedbythesingularitydistributionmethodplusthelinearsuperpositionmethodfortheenergyofcomponentwavesinthedirectionalfrequencyspectra.Therefore,thistechniqueforcomponentwavesinthedirectionalspectrahasbeenfurtherusedtocomputediffractionofirregularwavesofmultidirection,includingtheemploymentofadirectionaldistributionfunctionofthecos2type,aswellastheBretschneider-Misuyannfrequencyspectrum.
简介:ComputingtheeigenvalueofsmallestmodulusanditscorrespondingeigneveclorofanirreduciblenonsingularM-matrixAisconsidered,ItisshownthatiftheentriesofAareknownwithhighrelativeaccuracy,itseigenvalueofsmallestmodulusandeachcomponentofthecorrespondingeigenvectorwillbedeterminedtomuchhigheraccuracythanthestandardperturbationtheorysuggests.Analgorithmispresentedtocomputethemwithasmallcomponentwisebackwarderror,whichisconsistentwiththeperturbationresults.