Combining the moment method with geometrical modelling by NURBS surfaces and Bezier patches
Combining the moment method with geometrical modelling by NURBS surfaces and Bezier patches
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DOI：
10.1109/8.280724
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发表时间：
1994-03
影响因子：
5.7
通讯作者：
L. Valle;F. Rivas;M. Cátedra
中科院分区：
文献类型：
--
作者：
L. Valle;F. Rivas;M. Cátedra
利用矩量法求解电场积分方程，得到了由NURBS(非均匀有理B样条)曲面模拟的任意形状导体上的感应电流分布。通过应用Cox-de Boor变换算法，将NURBS曲面展开为Bezier曲面片。此变换是合理的，因为Bezier面片在数值上比NURBS曲面更稳定。新的基函数已经被开发出来，它们扩展到Bezier曲面片对上。这些基函数可以看作是“屋顶”函数的推广。将该方法应用于NURBS曲面建模的多个物体的RCS值的获取。实验结果与其他方法的结果吻合较好。该方法是高效和通用的，因为它使用了功能相当强大的几何建模工具。>；
Induced current distributions on conducting bodies of arbitrary shape modelled by NURBS (non uniform rational B-splines) surfaces are obtained by using a moment method approach to solve an electric field integral equation (EFIE). The NURBS surfaces are expanded in terms of Bezier patches by applying the Cox-de Boor transformation algorithm. This transformation is justified because Bezier patches are numerically more stable than NURBS surfaces. New basis functions have been developed which extend over pairs of Bezier patches. These basis functions can be considered as a generalization of "rooftop" functions. The method is applied to obtain RCS values of several objects modelled with NURBS surfaces. Good agreement with results from other methods is observed. The method is efficient and versatile because it uses geometrical modelling tools that are quite powerful. >