论文标题
用隐藏的杆和电线悬浮刚性物体
Levitating Rigid Objects with Hidden Rods and Wires
论文作者
论文摘要
我们提出了一种新颖的算法，以有效地生成隐藏的结构，以支持浮动刚性对象的布置。我们的优化发现物体之间的一小部分杆和电线，或一个支撑表面（例如，墙壁或天花板），将所有物体保持力和扭矩平衡。我们的目标函数包括基于有效预先计算的蒙特卡洛整合的稀疏性诱导总体积项和线性可见性术语，以鼓励可能是隐藏的解决方案。最终的优化是凸，可以通过线性程序有效地恢复全局最佳。我们的表示允许用户控制的张力，压缩 - 抗剪切杆或仅张力的电线的混合物。我们探索剧院套装设计，博物馆展览策展和其他艺术努力的应用。
We propose a novel algorithm to efficiently generate hidden structures to support arrangements of floating rigid objects. Our optimization finds a small set of rods and wires between objects and each other or a supporting surface (e.g., wall or ceiling) that hold all objects in force and torque equilibrium. Our objective function includes a sparsity inducing total volume term and a linear visibility term based on efficiently pre-computed Monte-Carlo integration, to encourage solutions that are as-hidden-as-possible. The resulting optimization is convex and the global optimum can be efficiently recovered via a linear program. Our representation allows for a user-controllable mixture of tension-, compression-, and shear-resistant rods or tension-only wires. We explore applications to theatre set design, museum exhibit curation, and other artistic endeavours.
