基于物理的自由曲面造型技术的现状与展望

基于物理的造型方法是当今曲面造型研究的热点之一，并可望成为今后曲面造型的实用工具。基于物理的造型是将物体看成具有一定物理性质的形体，即某种物理模型而不是单纯的几何体。根据物理模型所依据的物理原理和数学表达，大致将其分为两类：能量模型和拉格朗日动态模型。介绍了两类模型的基本思想，并分别对其理论研究、发展及应用情况进行了综述，指出给设计者提供更自然地控制物体形状的能力以及引进更灵活的几何造型方法是基于物理曲面造型发展的方向。

State and Prospects of Physics-Based Free-form Surface Modeling

Physics based modeling is one of the keen free form surface modeling method at present, and it should be a practical surface modeling method in the future. In Physics based modeling, the object is viewed as a physics and not a pure geometry model. According to its physics principle and math representation, the physics based models are mainly classified into two types:energy model and dynamic Lagrangian model. The fundamental theory is introduced, and the principle, development and application state of each model is reviewed. To provide designer more naturally design ability and to introduce more flexible geometric modeling methods are the prospect of future researches on physics based free form surface modeling is outlined at last.