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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.