【摘要】 采用重新参数化方法研究有理S曲面片与有理三角Bézier曲面片之间的相互转换问题.通过演算与证明,得到它们之间相互转换的公式,即得到用三角Bézier曲面片的控制点与权来表示S曲面片控制点与权的显式表达式,及其相反的公式.此外,给出了转换的算法与具体算例,显示了该方法的有效性.更多还原

【Abstract】 The conversion problem between rational S-patches and rational triangular Bézier patches was investigated with the reparametrization method.The explicit conversion formulas of control points and weights between S-patches and rational triangular Bézier patches were presented.Algorithms and numerical examples were also provided to illustrate the efficiency of this method.更多还原