Wrapping objects using ropes is a common practice in our daily life. However, it is difficult to design and tie ropes on a 3D object with complex topology and geometry features while ensuring wrapping security and easy operation. In this article, we propose to compute a rope net that can tightly wrap around various 3D shapes. Our computed rope net not only immobilizes the object but also maintains the load balance during lifting. Based on the key observation that if every knot of the net has four adjacent curve edges, then only a single rope is needed to construct the entire net. We reformulate the rope net computation problem into a constrained curve network optimization. We propose a discrete-continuous optimization approach, where the topological constraints are satisfied in the discrete phase and the geometrical goals are achieved in the continuous stage. We also develop a hoist planning to pick anchor points so that the rope net equally distributes the load during hoisting. Furthermore, we simulate the wrapping process and use it to guide the physical rope net construction process. We demonstrate the effectiveness of our method on 3D objects with varying geometric and topological complexity. In addition, we conduct physical experiments to demonstrate the practicability of our method.

中文翻译：

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计算对象缠绕绳网

用绳子包裹物体是我们日常生活中的常见做法。然而，很难在具有复杂拓扑和几何特征的 3D 物体上设计和系绳，同时确保缠绕安全和易于操作。在本文中，我们建议计算一个可以紧紧包裹各种 3D 形状的绳网。我们的计算绳网不仅可以固定物体，还可以在提升过程中保持负载平衡。基于关键观察，如果网络的每个结都有四个相邻的曲线边缘，那么只需要一根绳子就可以构建整个网络。我们将绳网计算问题重新表述为约束曲线网络优化。我们提出了一种离散连续优化方法，在离散阶段满足拓扑约束，在连续阶段实现几何目标。我们还制定了一个提升计划来选择锚点，以便绳网在提升过程中平均分配负载。此外，我们模拟了缠绕过程，并用它来指导物理绳网的构建过程。我们证明了我们的方法在具有不同几何和拓扑复杂性的 3D 对象上的有效性。此外，我们还进行了物理实验来证明我们方法的实用性。我们证明了我们的方法在具有不同几何和拓扑复杂性的 3D 对象上的有效性。此外，我们还进行了物理实验来证明我们方法的实用性。我们证明了我们的方法在具有不同几何和拓扑复杂性的 3D 对象上的有效性。此外，我们还进行了物理实验来证明我们方法的实用性。