A kind of trigonometric blending functions is constructed based on trigonometric spaces, which is called as Bern-stein -type blending functions.The corresponding Bézier -type curve and Bézier -type tensor product surface are defined.The effect of parameter to adjust the curves and surfaces shape is analyzed.Bézier -type curve can approach Bézier curve form both sides and accurately represent parabolic curve, elliptic(circular) arcs through adjusting the shape parameter.Moreover, the corre-sponding tensor product surface can reconstruct ellipsoid, spherical surface exactly with less patches, and the patches can achieved C1 continuous enough to satisfy the engineering requirements.% 在三角函数空间中构造了一组带有形状参数的基函数,具有类似于 Bernstein 基函数的性质,称其为 Bern-stein型基函数,利用此基函数定义 Bézier 型曲线及张量积 B ézier 型曲面。分析了形状参数对曲线曲面形状的调节作用,调节形状参数可以使 Bézie 型曲线从双边逼近 Bézier 曲线,且可以精确表示抛物线、椭圆弧(圆弧)等,同时,Bézier 型曲面仅需较少的曲面片即可精确重建椭球面(球面)及圆柱型曲面,可以达到 C 1连续足以满足工程中的需求。
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