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Zeitschriftenartikel:

C. Jiang, H. Wang, V. Ceballos Inza, F. Dellinger, F. Rist, J. Wallner, H. Pottmann:
"Using isometries for computational design and fabrication";
ACM Transactions on Graphics, 40 (2021), 4; S. 1 - 42.



Kurzfassung englisch:
We solve the task of representing free forms by an arrangement of panels that are manufacturable by precise isometric bending of surfaces made from a small number of molds. In fact we manage to solve the paneling task with surfaces of constant Gaussian curvature alone. This includes the case of
developable surfaces which exhibit zero curvature. Our computations are based on an existing discrete model of isometric mappings between surfaces which for this occasion has been refined to obtain higher numerical accuracy. Further topics are interesting connections of the paneling problem with the geometry of Killing vector fields, designing and actuating isometries, curved folding in the double-curved case, and quad meshes with rigid faces that are nevertheless flexible.

Schlagworte:
Computing methodologies; Shape modeling; Optimization algorithms


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1145/3450626.3459839

Elektronische Version der Publikation:
https://dmg.tuwien.ac.at/geom/ig/publications/isoforfab/isoforfab.pdf


Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.