Developable surfaces are commonly observed in various applications such as architecture, product design, manufacturing, and mechanical materials, as well as in the development of tangible interaction and deformable robots, with the characteristics of easy-to-product, low-cost, transport-friendly, and deformable. Transforming shapes into developable surfaces is a complex and comprehensive task, which forms a variety of methods of segmentation, unfolding, and manufacturing for shapes with different geometry and topology, resulting in the complexity of developable surfaces. In this paper, we reviewed relevant methods and techniques for the study of developable surfaces, characterize them with our proposed pipeline, and categorize them based on digital modeling, physical modeling, interaction, and application. Through the analysis to the relevant literature, we also discussed some of the research challenges and future research opportunities.

翻译：可展曲面常见于建筑、产品设计、制造和机械材料等各种应用领域，以及有形交互和可变形机器人的开发中，具有易于生产、成本低、便于运输和可变形等特点。将形状转化为可展曲面是一项复杂而全面的任务，针对不同几何和拓扑结构的形状，形成了多种分割、展开和制造方法，这导致了可展曲面的复杂性。本文综述了可展曲面研究的相关方法和技术，通过我们提出的流程对其进行了特征化描述，并基于数字建模、物理建模、交互和应用进行了分类。通过对相关文献的分析，我们还讨论了一些研究挑战和未来的研究机遇。