Premium
Designing deployable 3D scissor structures with ball‐and‐socket joints
Author(s) -
Chen Xuejin,
Jiang Haoming,
Xuan Tingting,
Huang Lihan,
Liu Ligang
Publication year - 2018
Publication title -
computer animation and virtual worlds
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.225
H-Index - 49
eISSN - 1546-427X
pISSN - 1546-4261
DOI - 10.1002/cav.1848
Subject(s) - computer science , parameterized complexity , planarity testing , ball (mathematics) , planar , computer graphics (images) , geometry , algorithm , mathematics , combinatorics
Scissor structures, which transform from a compact state to an expanded state, are widely used in various fields, ranging from architectural design to aerospace applications. We focus on a challenging problem that breaks through the restriction of planarity: to design scissor structures that expand from one given 3D shape to another 3D shape. To achieve this purpose, we propose a three‐step algorithm to construct a 3D scissor structure that realizes non‐uniform concentration between two different 3D curves. First, the input shapes are divided into scissor segments , which are composed of a sequence of planar scissor units based on the shape correspondence. Secondly, we compute the scissor unit geometry of each segment in a suggestive manner. Finally, the ball‐and‐socket joints with parameterized guide slits are integrated in order to connect the scissor segments, thereby completing the 3D deployment. Judging from a series of simulation and fabrication results, we demonstrate that our approach generates deployable structures for a wide range of 3D shape pairs.