用三条控制折线构建可变形的柔性曲面，支持交互式设计。
Construction and deformation of P-hedra using control polylines
- 通过三条控制折线直接定义P-hedra的三维形状。
- 实现高效算法计算其等距变形，支持实时交互。
- 适用于可展、可折叠及管状结构的设计场景。
在第19届国际机器人运动学进展研讨会上，作者提出了一类新型连续柔性的离散曲面，称为P-hedra（或P-net），并指出这些曲面可通过三条控制折线直接控制其空间形态。本文进一步研究这一直观方法，使这类柔性平面四边形曲面适合通过交互工具进行可变形设计。从控制折线构造P-hedra的方法还可用于高效算法计算其等距变形。此外，论文讨论了弯曲极限、分岔构型、可展/可平折图案以及管状P-hedra。
原文摘要 · Abstract (English)
In the 19th International Symposium on Advances in Robot Kinematics the author introduced a novel class of continuous flexible discrete surfaces and mentioned that these so-called P-hedra (or P-nets) allow direct access to their spatial shapes by three control polylines. In this follow-up paper we study this intuitive method, which makes these flexible planar quad surfaces suitable for transformable design tasks by means of interactive tools. The construction of P-hedra from the control polylines can also be used for an efficient algorithmic computation of their isometric deformations. In addition we discuss flexion limits, bifurcation configurations, developable/flat-foldable pattern and tubular P-hedra.
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