Invertible Paradoxic Loop Structures for Transformable Design
| dc.contributor.author | Li, Zijia | en_US |
| dc.contributor.author | Nawratil, Georg | en_US |
| dc.contributor.author | Rist, Florian | en_US |
| dc.contributor.author | Hensel, Michael | en_US |
| dc.contributor.editor | Panozzo, Daniele and Assarsson, Ulf | en_US |
| dc.date.accessioned | 2020-05-24T12:51:58Z | |
| dc.date.available | 2020-05-24T12:51:58Z | |
| dc.date.issued | 2020 | |
| dc.description.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. | en_US |
| dc.description.number | 2 | |
| dc.description.sectionheaders | Optimizing Structures, Layouts, and Interactions | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 39 | |
| dc.identifier.doi | 10.1111/cgf.13928 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 261-275 | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.13928 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.1111/cgf13928 | |
| dc.publisher | The Eurographics Association and John Wiley & Sons Ltd. | en_US |
| dc.rights | Attribution 4.0 International License | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Theory of computation | |
| dc.subject | Computational geometry | |
| dc.subject | Algorithmic mechanism design | |
| dc.subject | Applied computing | |
| dc.subject | Computeraided design | |
| dc.subject | Computing methodologies | |
| dc.subject | Motion processing | |
| dc.title | Invertible Paradoxic Loop Structures for Transformable Design | en_US |