Name
Abstract | ||
|---|---|---|
We present an interactive tool compatible with existing software (Rhino/Grasshopper) to design ring structures with a paradoxic mobility, which are self-collision-free over the complete motion cycle. Our computational approach allows non-expert users to create these invertible paradoxic loops with six rotational joints by providing several interactions that facilitate design exploration. In a first step, a rational cubic motion is shaped either by means of a four pose interpolation procedure or a motion evolution algorithm. By using the representation of spatial displacements in terms of dual-quaternions, the associated motion polynomial of the resulting motion can be factored in several ways, each corresponding to a composition of three rotations. By combining two suitable factorizations, an arrangement of six rotary axes is achieved, which possesses a 1-parametric mobility. In the next step, these axes are connected by links in a way that the resulting linkage is collision-free over the complete motion cycle. Based on an algorithmic solution for this problem, collision-free design spaces of the individual links are generated in a post-processing step. The functionality of the developed design tool is demonstrated in the context of an architectural and artistic application studied in a master-level studio course. Two results of the performed design experiments were fabricated by the use of computer-controlled machines to achieve the necessary accuracy ensuring the mobility of the models. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1111/cgf.13928 | COMPUTER GRAPHICS FORUM |
Keywords | DocType | Volume |
CCS Concepts,. Theory of computation -> Computational geometry,Algorithmic mechanism design,. Applied computing -> Computer-aided design,. Computing methodologies -> Motion processing | Journal | 39.0 |
Issue | ISSN | Citations |
2.0 | 0167-7055 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zijia Li | 1 | 0 | 0.34 |
| Georg Nawratil | 2 | 22 | 5.94 |
| Florian Rist | 3 | 7 | 5.18 |
| Michael Hensel | 4 | 0 | 0.34 |