【摘要】 该文从Γn=span{ 1,t,t2 ,t3 ,… ,tn -4,sint,cost,sin2t,cos2t}中提取出名为T B啨ｚｉｅｒ的一组基 ,分析了该组基的性质 ,并由该组基定义了T B啨ｚｉｅｒ曲线 ,同时证明了许多有实际应用价值的曲线 (如代数曲线和超越曲线 )可以用T B啨ｚｉｅｒ曲线的形式精确表示 .更多还原

【Abstract】 In this paper, a new basis, called T-Bézier basis, is constructed for the space Γ n= span{1,t,t 2,t 3,...,t n -4,sint,cost,sin2t,cos2t}. Properties of this basis are analyzed and T-Bézier curves are defined based on it. Then it is demonstrated that many valuable curves, such as algebraic curves and transcendental curves, can be expressed by T-Bézier curves.更多还原