Orthogonalization of unified and extended B~zier basis and its transformation matrix-中国期刊网

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

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Orthogonalization of unified and extended B~zier basis and its transformation matrix

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Orthogonalization of unified and extended B~zier basis and its transformation matrix

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