简介:UE-Bézier(unifiedandextendedBézier)basisistheunifiedformofBézier-likebases,includingpolynomialBézierbasis,trigonometricpolynomialandhyperbolicpolynomialBézierbasis.SimilartotheoriginalBézier-likebases,UE-Bézierbasisfunctionsarenotorthogonal.Inthispaper,agroupoforthogonalbasisisconstructedbasedonUE-Bézierbasis.ThetransformationmatricesbetweenUE-Bézierbasisandtheproposedorthogonalbasisarealsosolved.
简介:Inthispaper,thesmoothconnectionbetweentwoB-splinesurfacesisdiscussed.First,abriefproofofsomesimplesufficientconditionsofG~0andG~1continuityisgiven.Onthisbasis,anovelmethodforG~0orG~1connectionbetweentwoadjacentB-splinesurfacesispresented.Areparameterizationstepisfirstlytakenforoneofthesurfacessuchthattheyhavethesameparameterizationinvdirection,then,adjusttheirboundarycontrolverticestomakethemG~0orG~1connected.TheG~1connectionparameterisdeterminedbyanoptimizationproblem.Comparedwiththeexistedmethods,ourmethodissimpleandeasytobeusedinpractice.
简介:Aimingatachievingthehighaccuracy3Dmodelfromsliceimages,anewmodelreconstructionmethodusingsliceimagesisproposed.Wantingtoextracttheoutermostcontoursfromsliceimages,themethodoftheimprovedGVF-Snakemodelwithoptimizedforcefieldandraymethodisemployed.Andthen,the3Dmodelisreconstructedbycontourconnectionusingtheimprovedshortestdiagonalmethodandjudgmentfunctionofcontourfracture.Theresultsshowthattheaccuracyofreconstruction3Dmodelisimproved.
简介:Itisaresearchsubjectincomputervisionto3Dreconstructionofanobjectrepresentedbyasingle2Dlinedrawing.Previousworkson3Dreconstructionfrom2Dlinedrawingsfocusonobjectswithlines,plane,view,andsoon.Thispapermainlystudiesthe3Dreconstructionfrom2Dlinedrawings.Besides,anewapproachisproposed:itisthatfortheresearchofthepointcoordinatesof2Dlinedrawings,soastoachievetheobjectreconstructionbythereconstructionofpointcoordinates.Thereconstructionprocessincludes:①thecollectionofpointcoordinates(X,Y)of2Dlinedrawings;②thederivationofmathematicalformulaaboutthereconstructionofthepointof2Dlinedrawings,andcalculatingthecorrespondingpointofthe3Dcoordinates;③theregenerationof3Dgraphicswith3Dpoints;④analyzeerrorbytheproportionalofparallelofaxonometricprojection,inordertoprovetheaccuracyofthemethod.
简介:Thispaperproposesanewasymptoticattitudetrackingcontrollerforanunderactuated3-degree-of-freedom(DOF)laboratoryhelicoptersystembyusinganonlinearrobustfeedbackandaneuralnetwork(NN)feedforwardterm.Thenonlinearrobustcontrollawisdevelopedthroughamodifiedinner-outerloopapproach.TheapplicationoftheNN-basedfeedforwardistocompensateforthesystemuncertainties.Theproposedcontroldesignstrategyrequiresverylimitedknowledgeofthesystemdynamicmodel,andachievesgoodrobustnesswithrespecttosystemparametricuncertainties.ALyapunov-basedstabilityanalysisshowsthattheproposedalgorithmscanensureasymptotictrackingofthehelicopter'selevationandtravelmotion,whilekeepingthestabilityoftheclosed-loopsystem.Real-timeexperimentresultsdemonstratethatthecontrollerhasachievedgoodtrackingperformance.