We introduce an efficient method to support generation of geometric winding paths on parametric shapes. Filament winding is a technology for producing composite materials by winding resin-infused fibers around the underlying model. While filament winding is a long-standing manufacturing method, only a few shapes, primarily cylinders, have been manufactured in practice. Extending this to a broader range of parametric surfaces is desirable.

For convex objects without friction, generating a winding path over a model is equivalent to finding a locally geodesic path on the surface. We propose a physically-based method ideally suited for generating these geodesics, and show how it can be augmented to incorporate friction in the simulation process. For non-convex objects, it is important to correctly handle the bridging of filaments across local concavities. We therefore propose an efficient method for lifting a filament from and returning it to a surface, within the same simulation framework. We demonstrate how this method forms the basis for an end-to-end system that designers can use to create, visualize, and redesign winding paths for a variety of shapes.

我们引入了一种有效的方法来支持在参数形状上生成几何缠绕路径。纤维缠绕是一种通过将注入树脂的纤维缠绕在底层模型周围来生产复合材料的技术。虽然纤维缠绕是一种长期存在的制造方法，但在实践中只制造了几种形状，主要是圆柱体。将此扩展到更广泛的参数曲面是可取的。

对于没有摩擦的凸面物体，在模型上生成一条蜿蜒路径相当于在表面上找到一条局部测地线路径。我们提出了一种非常适合生成这些测地线的基于物理的方法，并展示了如何增强它以在模拟过程中结合摩擦。对于非凸面物体，正确处理细丝跨局部凹面的桥接非常重要。因此，我们提出了一种在同一模拟框架内将灯丝从表面提起和返回到表面的有效方法。我们演示了这种方法如何构成端到端系统的基础，设计人员可以使用该系统为各种形状创建、可视化和重新设计缠绕路径。