Design and Fabrication of Multi-Patch Elastic Geodesic Grid Structures

@article{Pillwein2021DesignAF,
  title={Design and Fabrication of Multi-Patch Elastic Geodesic Grid Structures},
  author={Stefan Pillwein and Johanna Kubert and Florian Rist and Przemyslaw Musialski},
  journal={Comput. Graph.},
  year={2021},
  volume={98},
  pages={218-230}
}
Elastic geodesic grids (EGG) are lightweight structures that can be deployed to approximate designer-provided free-form surfaces. Initially, the grids are perfectly flat, during deployment, a curved shape emerges, as grid elements bend and twist. Their layout is based on networks of geodesic curves and is found geometrically. Encoded in the planar grids is the intrinsic shape of the design surface. Such structures may serve purposes like free-form sub-structures, panels, sun and rain protectors… 
Generalized deployable elastic geodesic grids
TLDR
This paper introduces a well-defined elastic grid energy functional that allows identifying networks of curves that minimize the bending energy and at the same time nestle to the provided input surface well and generalizes the concept of such grids to cases where the surface boundary does not need to be convex.

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