简介：AsolutiontothereparametrizationofBéziercurvesbysinetransformationofBernsteinbasisispresented.Theneweffectivereparametrizationmethodisgiventhroughthefollowingprocedures:educingSineBernstein-BézierClass-SBBCfunction,definingSBBCcurveanddiscussingtherelationbetweenSBBCandBéziercurve.

简介：UE-Bézier(unifiedandextendedBézier)basisistheunifiedformofBézier-likebases,includingpolynomialBézierbasis,trigonometricpolynomialandhyperbolicpolynomialBézierbasis.SimilartotheoriginalBézier-likebases,UE-Bézierbasisfunctionsarenotorthogonal.Inthispaper,agroupoforthogonalbasisisconstructedbasedonUE-Bézierbasis.ThetransformationmatricesbetweenUE-Bézierbasisandtheproposedorthogonalbasisarealsosolved.

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