[2312.17181] Geometric Guidance for Globally Synchronized Deployment of Elastic Geodesic Grids Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Computer Science > Graphics arXiv:2312.17181 (cs) [Submitted on 28 Dec 2023 ( v1 ), last revised 20 Apr 2026 (this version, v2)] Title: Geometric Guidance for Globally Synchronized Deployment of Elastic Geodesic Grids Authors: Stefan Pillwein , Alexander Hentschel , Markus Lukacevic , Przemyslaw Musialski View a PDF of the paper titled Geometric Guidance for Globally Synchronized Deployment of Elastic Geodesic Grids, by Stefan Pillwein and 3 other authors View PDF HTML (experimental) Abstract: Elastic geodesic grids deploy from flat to spatial configurations via complex nonlinear motion that is difficult to represent robustly for simulation. We present a geometric guidance framework that discretizes deployment as synchronized, time-coupled deformation trajectories. Starting from inverse tracing -- collapsing the deployed structure with a lightweight rod model while recording node paths under a shared parameter -- we obtain feasible node paths and formulate a polyline approximation problem that selects {globally synchronized} time steps and minimizes a robust tail-aggregated deviation measure under monotonicity constraints. {We solve the resulting non-smooth optimization problem via global optimization to obtain compact, synchronized displacement sequences for all paths simultaneously}. We evaluate the method using geometry-centric metrics (deviation versus step count, scaling with trajectory count) and demonstrate its utility by driving finite element deployment simulations that avoid intermediate buckling and capture deployment-induced prestress. Comments: Computer Aided Geometric Design / International Conference on Geometric Modeling and Processing (GMP 2026), journal preprint, 14 pages including appendices, 13 figures Subjects: Graphics (cs.GR) ; Computational Geometry (cs.CG) ACM classes: I.3.5; J.6 Cite as: arXiv:2312.17181 [cs.GR] (or arXiv:2312.17181v2 [cs.GR] for this version) https://doi.org/10.48550/arXiv.2312.17181 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1016/j.cagd.2026.102565 Focus to learn more DOI(s) linking to related resources Submission history From: Przemyslaw Musialski [ view email ] [v1] Thu, 28 Dec 2023 18:14:17 UTC (21,450 KB) [v2] Mon, 20 Apr 2026 04:06:07 UTC (21,463 KB) Full-text links: Access Paper: View a PDF of the paper titled Geometric Guidance for Globally Synchronized Deployment of Elastic Geodesic Grids, by Stefan Pillwein and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cs.GR < prev | next > new | recent | 2023-12 Change to browse by: cs cs.CG References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from