title = {Design and fabrication of multi-patch elastic geodesic grid
journal = {Computers & Graphics},
volume = {98},
pages = {218-230},
year = {2021},
issn = {0097-8493},
doi = {https://doi.org/10.1016/j.cag.2021.06.002},
url = {https://www.sciencedirect.com/science/article/pii/S0097849321001163},
author = {Stefan Pillwein and Johanna K├╝bert and Florian Rist and Przemyslaw
keywords = {Computer graphics and computational geometry, Computer graphics,
Computational geometry},
abstract = {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, pavilions,
etc. However, so far the EGG have only been investigated using a generic set
of design surfaces and small-scale desktop models. Some limitations become
apparent when considering more sophisticated design surfaces, like from
free-form architecture. Due to characteristics like high local curvature or
non-geodesic boundaries, they may be captured only poorly by a single EGG.
We show how decomposing such surfaces into smaller patches serves as an
effective strategy to tackle these problems. We furthermore show that
elastic geodesic grids are in fact well suited for this approach. Finally,
we present a showcase model of some meters in size and discuss practical
aspects concerning fabrication, size, and easy deployment.}