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A distributed algorithm for 2D shape duplication with smart pebble robots

机译:一种用于智能卵石机器人的二维形状复制分布式算法

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摘要

We present our digital fabrication technique for manufacturing active objects in 2D from a collection of smart particles. Given a passive model of the object to be formed, we envision submerging this original in a vat of smart particles, executing the new shape duplication algorithm described in this paper, and then brushing aside any extra modules to reveal both the original object and an exact copy, side-by-side. Extensions to the duplication algorithm can be used to create a magnified version of the original or multiple copies of the model object. Our novel duplication algorithm uses a distributed approach to identify the geometric specification of the object being duplicated and then forms the duplicate from spare modules in the vicinity of the original. This paper details the duplication algorithm and the features that make it robust to (1) an imperfect packing of the modules around the original object; (2) missing communication links between neighboring modules; and (3) missing modules in the vicinity of the duplicate object(s). We show that the algorithm requires O(1) storage space per module and that the algorithm exchanges O(n) messages per module. Finally, we present experimental results from 60 hardware trials and 150 simulations. These experiments demonstrate the algorithm working correctly and reliably despite broken communication links and missing modules.
机译:我们展示了我们的数字制造技术,该技术可以从一系列智能粒子中以2D方式制造活动对象。给定要形成的物体的被动模型,我们设想将该原始物体淹没在一大堆智能粒子中,执行本文所述的新形状复制算法,然后将所有额外的模块搁置一旁,以揭示原始物体和精确物体并排复制。复制算法的扩展可用于创建模型对象的原始副本或多个副本的放大版本。我们新颖的复制算法使用分布式方法来识别要复制的对象的几何规格,然后从原始模块附近的备用模块中形成复制品。本文详细介绍了复制算法及其使它健壮的功能,以:(1)在原始对象周围对模块进行不完美的包装; (2)相邻模块之间缺少通信链接; (3)重复对象附近缺少模块。我们证明了该算法每个模块需要O(1)个存储空间,并且该算法每个模块交换O(n)个消息。最后,我们展示了60个硬件试验和150个仿真的实验结果。这些实验证明了该算法在通信链路断开和模块丢失的情况下仍能正确可靠地工作。

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