逆向工程中基于能量法的参数二阶连续曲面构造方法研究

CONSTRUCTING SURFACES WITH C2 CONTINUITY BASED ON PHYSICS-BASED SHAPE DESIGN IN REVERSE ENGINEERING

针对反求过程中的单值曲面重构问题,提出一种基于能量法的曲面构造方法,给出了关于能量模型建立和边界条件处理的详细理论推导。提出的截面线构造方法、平面四边形域中间参数线自动生成、跨界导矢插值公式均可用作通用方法。随后以汽车前面板曲面构造为例说明了方法有效性和其他特点。

Aimed at the reconstruction of single-value surfaces in reverse engineering, a method to construct surfaces based on physics-based shape design is developed. The construction of physical model and the handling of boundary restriction are detailedly concluded. Some universal algorithms are given, such as the constructing section lines, creating parametric lines on planar quadrangle and the interpolatory formula of transverse differential vectors on boundary. As an example, the surfaces of a car's frontal panel are reconstructed to show the validity and characters of the method.