中文摘要：

异构的材料信息的表示方法是异构的目标建模的关键技术之一，但是几乎所有存在方法不能代表不一致的合理 B 花键(NURBS ) 实体。根据 NURBS 的特征，新奇数据结构，命名 NURBS 材料数据结构，被建议，在哪个几何坐标，重量和 NURBS 异构的目标的材料坐标能同时被代表。基于这数据结构，两个直接表示方法和对象被介绍的异构的 NURBS 的反的构造方法。在直接表示方法， NURBS 异构的对象的三种形式被给几何学和控制点，同类的坐标形式为它的简洁和容易的编程在之中被采用的材料信息介绍。在反的构造方法，连续异构的曲线和表面能被插入内推获得有指定材料信息的分离的点和曲线。一些例子被给显示出建议方法的有效性。

英文摘要：

The representation method of heterogeneous material information is one of the key technologies of heterogeneous object modeling, but almost all the existing methods cannot represent non-uniform rational B-spline （NURBS） entity. According to the characteristics of NURBS, a novel data structure, named NURBS material data structure, is proposed, in which the geometrical coordinates, weights and material coordinates of NURBS heterogene- ous objects can be represented simultaneously. Based on this data structure, both direct representation method and inverse construction method of heterogeneous NURBS objects are introduced. In the direct representation method, three forms of NURBS heterogeneous objects are introduced by giving the geometry and material information of con- trol points, among which the homogeneous coordinates form is employed for its brevity and easy programming. In the inverse construction method, continuous heterogeneous curves and surfaces can he obtained by interpolating discrete points and curves with specified material information. Some examples are given to show the effectiveness of the pro- posed methods.