基于物理模型的参数化曲面展开

提出一种基于物理模型的参数化曲面展开方法 .对被展曲面进行三角化并将其映射到一个初始二维片上 ,初始平面映射与已三角化的被展曲面具有相同的拓扑结构 ;利用已建立起的一个基于物理可变形模型来将三维曲面展开为二维片 ,在展开的过程中 ,曲面展开的局部精度很容易控制 ;然后 ,采用插值函数及彩色能量分布图来表示弹性变形能量分布 ,从分布图中可找出曲面展开的剪开线 ,从而能有效解决 CAD/ CAM中的曲面展开问题

Development of Parametric Surface Based on Physics Model

Parametric trimmed surface development is primarily used for flattening a 3D surface into a corresponding 2D pattern or surface. The surface is triangulated and mapped onto a plane. This initial planar mapping has the same topology as its original surface. A spring mass system is applied to deform the plane. The energy distribution of surface elastic is indicated by a color graph, determining a surface cutting line. The method can efficiently solve the development problems for complex trimmed surfaces. The accuracy of developed surfaces can easily be controlled locally to solve CAD/CAM surfacing problems.