中文摘要：

非均质产品具有非常广泛的运用,面向材料反求构建非均质产品模型,能更好地设计出材料符合实际分布的非均质产品。利用CT扫描提供的原始数据,经过提取得到具有灰度信息的点云数据,提供非均质产品几何和材料空间构造原始信息。通过体参数化方法实现模型几何空间构造,通过对灰度值的参数化实现材料空间构造;通过求解一个二次型优化问题,将材料空间内嵌于几何空间,实现几何空间和材料空间的耦合,从而最终完成体参数化非均质产品模型的构建。以股骨模型为例,实现其非均质体参数化模型的构建算法。结果表明,面向材料反求的非均质体参数化建模方法能够更为便捷和准确的表达材料实际分布信息,且为基于体参数化模型的性能分析和显示提供模型支撑。

英文摘要：

Heterogeneous products have been used in many fields. Using reverse-material- oriented methods to build heterogeneous product models can support the design of heterogeneous products with actual material distribution. This paper uses CT scan data as original data, from which point cloud data can be extracted, to achieve a construction of geometry and material space for heterogeneous products. Use volume parameterization methods to acquire geometric space of model. Use parameterization of gray-scale values to acquire materials space of model. By solving a quadratic optimization problem to embed material space into geometric space and achieve the coupling of geometry and material through. Volumetric parametric heterogeneous model is constructed. Take the femur model from human body as example, the algorithms of constructing the volume parameterization heterogeneous model are realized. The result shows that the method of volume parametric modeling for heterogeneous products based on reverse-material-oriented is more convenient and precise to represent the actual distribution information for heterogeneous products and can provide the models for performance analysis and rendering based on volume parameterization model.