A geometry-based framework for modeling the complexity of origami folding
A geometry-based framework for modeling the complexity of origami folding
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DOI：
10.1016/j.taml.2021.100241
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发表时间：
2021-07-15
影响因子：
3.4
通讯作者：
Ning，Xin
中科院分区：
文献类型：
--
作者：
Schulman，Samuel;Ning，Xin
本文提出了一个定量的框架来分析折叠折纸结构的复杂性，从平坦的膜。广泛的努力已经实现了复杂的折纸图案与所需的功能，如机械性能，包装效率，和部署行为。然而，与折纸图案的制造或折叠相关联的复杂性尚未被探索。了解折纸结构的制作难度以及它们形成所需的时间是确定折纸设计的实际可行性和未来应用（如太空中的机器人折纸组装）的关键信息。在这项工作中，我们开发了这个折纸复杂性度量模型的几何特性和折痕形成的折纸结构，从它输出折痕和图案的复杂性值和预测的时间来完成图案组装，根据运营商的特点。该框架通过制作各种三浦织折纸模型进行了实验验证。
This paper presents a quantitative framework to analyze the complexity of folding origami structures from flat membranes. Extensive efforts have realized intricate origami patterns with desired functions such as mechanical properties, packaging efficiency, and deployment behavior. However, the complexity associated with the manufacturing or folding of origami patterns has not been explored. Understanding how difficult origami structures are to make, and how much time they require to form is crucial information to determining the practical feasibility of origami designs and future applications such as robotic origami assembly in space. In this work, we develop this origami complexity metric by modeling the geometric properties and crease formation of the origami structure, from which it outputs crease and pattern complexity values and a prediction of the time to complete the pattern assembly, based on the characteristics of the operator. The framework is experimentally validated by fabricating various Miura-ori origami paper models.