【摘要】 采用Blossoming方法,讨论了有理Bézier矩形曲面片和三角曲面片之间的相互转换,将一个(m,n)次有理Bézier矩形片转换为两个m+n次有理Bézier三角片,以及通过重新参数化将一个n次有理Bézier三角片转换为三个非退化(n,n)次有理Bézier矩形片,得到相互转换的显式表达,并给出了算法.数值例子表明了Blossoming方法的有效性.更多还原

【Abstract】 The conversion problem between rectangular and triangular rational Bézier patches was studied by means of the Blossoming method.A rectangular rational Bézier patch of degree(m,n) was converted into two triangular rational Bézier patches of degree m+n and a triangular rational Bézier patch of degree n was converted into three rectangular rational Bézier patches of degree(n,n) through reparametrization.Explicit expressions and algorithms were obtained.Some numerical examples were provided to illustrate the efficiency of Blossoming method.更多还原