基于能量模型的曲面展开通用算法

文中提出了一个基于能量模型的曲面展开通用算法，解决了复杂曲面的展开问题，将一个三维曲面展平为与之相对应的二维片，在计算机辅助设计、制造及计算机图形学中的纹理映射等方面都有应用，首先，采用三角片模型来表达一个曲面，然后建立一个基于能量的模型将三维曲面展开为二维片，在这一过程中，曲面展开的局部精度较易控制，因此，较之以前的方法，此方法能更有效地解决CAD/CAM中的曲面展开问题。

A General Surface Development Algorithm Based on Energy Model

First, faceted model is used to represent a complex surface. Then, a physical model composed of a set of nodes connected by springs is construct ed. Solving for the equilibrium state of the energy function during flattening the 3D surface generates the 2D pattern. This method can efficiently solve development problems for complex surfaces. Accuracy of a developed surface can easily be controlled locally. Thus, compared to earlier methods, this approach provides more flexibility for solving CAD/CAM surface development problems.