Developable surfaces are commonly observed in various applications such as architecture, product design, manufacturing, mechanical materials, and data physicalization 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、机械材料、数据物理化以及触觉交互与可变形机器人等领域，具有易生产、低成本、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综合的任务，针对不同几何与拓扑结构的形状，衍生出多种分割、展开和制造方法，从而增加了可展曲面的复杂性。本文回顾了可展曲面研究的相关方法和技术，通过我们提出的流程框架进行特征化描述，并基于数字建模、物理建模、交互和应用等维度进行分类。通过对相关文献的分析，我们还探讨了当前研究面临的若干挑战与未来研究机遇。