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dc.contributor.authorLi, Zijiaen_US
dc.contributor.authorNawratil, Georgen_US
dc.contributor.authorRist, Florianen_US
dc.contributor.authorHensel, Michaelen_US
dc.contributor.editorPanozzo, Daniele and Assarsson, Ulfen_US
dc.date.accessioned2020-05-24T12:51:58Z
dc.date.available2020-05-24T12:51:58Z
dc.date.issued2020
dc.identifier.issn1467-8659
dc.identifier.urihttps://doi.org/10.1111/cgf.13928
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13928
dc.description.abstractWe 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.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectTheory of computation
dc.subjectComputational geometry
dc.subjectAlgorithmic mechanism design
dc.subjectApplied computing
dc.subjectComputeraided design
dc.subjectComputing methodologies
dc.subjectMotion processing
dc.titleInvertible Paradoxic Loop Structures for Transformable Designen_US
dc.description.seriesinformationComputer Graphics Forum
dc.description.sectionheadersOptimizing Structures, Layouts, and Interactions
dc.description.volume39
dc.description.number2
dc.identifier.doi10.1111/cgf.13928
dc.identifier.pages261-275


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Attribution 4.0 International License
Except where otherwise noted, this item's license is described as Attribution 4.0 International License