简介:TheexplicitexpressionoftheG~3basisfunctionispresentedinthispaper.ItisderivedbyconstructingtheconversionmatrixbetweenG~3basisfunctionandBézierrepresentation.Afterthematrixdecomposition,equationsforconstructingG~3splinescanbepresentedindependentlyofgeometricshapeparameters’values.Itmakestheequation’ssolvingeasier.ItisalsoknownthatthegeneralformoftheG~3splinebasisfunctionisgiveninthefirsttime.Itsgeometricconstructionmethodispresented.