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Research Collection
Article . 2025
License: CC BY
ACM Transactions on Graphics
Article . 2025 . Peer-reviewed
Data sources: Crossref
ETH Zürich Research Collection
Article . 2025
License: CC BY
Data sources: Datacite
DBLP
Article . 2025
Data sources: DBLP
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Fabricable Discretized Ruled Surfaces

Authors: Hassan Baharami; Michal Piovarci; Marco Tarini; Bernd Bickel; Nico Pietroni;

Fabricable Discretized Ruled Surfaces

Abstract

We present a method to automatically approximate a given surface with a small set of patches, each being a developable ruled surface featuring long-ruling lines. These construction primitives are attractive for their inherent ease of fabrication by cutting and folding inextensible materials and for their favo rable structural properties. Our algorithm strikes a good tradeoff between the simplicity of produced designs (in terms of the number and shapes of the patches) and approximation quality. To this end, it is guided by a smooth curvature-aligned cross-field. Compared to traditional methods, we rely on final discretization steps to ensure the developability of the ruled surfaces and produce a fabricable layout, bypassing the need to enforce that the strips are strictly developable in continuous settings (which requires difficulty in enforcing geometric conditions). We demonstrate the effectiveness of the proposed algorithm by producing several viable designs and using them to physically fabricate various physical objects.

Countries
Switzerland, Italy
Related Organizations
Keywords

Fabrication, ruled surfaces, surface approximation, developable, developable; Fabrication; patch decomposition; ruled surfaces; surface approximation;, patch decomposition, Fabrication; ruled surfaces; developable; surface approximation; patch decomposition

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    8
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
Green