The author acquires three main results , i . e . an approach of constructing polynomial curves with some shape parameters , c2 - continuous spline curves of degree 4 with some shape parameter , and planar piecewise bezier curve of 3 4th and 6th degree with given control polygon and the curve segments are joined together with c1 c2 and c3 - continuity 作者在后三章得到了本文的三个主要结果： ( 1 )构造了一种带形状参数的多项式曲线； ( 2 )构造了一类c ~ -连续带形状参数的四次样条逼近曲线； ( 3 )构造了与给定多边形相切的可调控保形分段c ~ 1三次、 c ~ 3六次b zier样条曲线。
This new basis provides properties analogous to berstein polynomials , including symmetry , zeros of the basis functions , positivity , normalization , etc . based on this new basis , we define a new kind of curves , to be called h - bezier curves , with control polygon 本文利用多项式混合双曲形式在空间中构造了一组新的基，称为h - b zier基，它具有类似于bernstein基的端点性质，零点阶数，正性，正规性质，对称性等性质进一步，文章通过控制多边形的方式定义了h - b zier曲线
