Interactive Design of Developable Surfaces
Interactive Design of Developable Surfaces
复制标题
可展曲面的交互设计
DOI：
10.1145/2832906
复制
发表时间：
2016-05-01
影响因子：
6.2
通讯作者：
Pottmann, Helmut
中科院分区：
文献类型：
--
作者：
Tang, Chengcheng;Bo, Pengbo;Pottmann, Helmut
本文提出了一种新的可展曲面几何造型方法和折边折纸设计方法。我们表示为样条曲线的可展性和表达的非线性条件有关的可展性和弯曲的折叠作为二次方程。这允许我们利用约束求解器，其可以被描述为到约束流形上的能量引导投影，并且其对于交互式建模来说足够快。此外，结合原始对偶表面表示使我们能够鲁棒和快速地解决近似问题。
We present a new approach to geometric modeling with developable surfaces and the design of curved-creased origami. We represent developables as splines and express the nonlinear conditions relating to developability and curved folds as quadratic equations. This allows us to utilize a constraint solver, which may be described as energy-guided projection onto the constraint manifold, and which is fast enough for interactive modeling. Further, a combined primal-dual surface representation enables us to robustly and quickly solve approximation problems.