Abstract
We develop a symmetry-based computer analysis and synthesis platform that, given a digitized image of a real-world papercut-pattern, is able to (1) identify dihedral and frieze symmetry as well as asymmetric sub-patterns of the input; (2) generate a fold-then-cut plan that can be used to recreate the input papercutpattern; and (3) synthesize new papercut patterns by varying the motif automatically extracted from the input, or by varying the symmetry group describing the structural organization of the input papercut pattern. We formalize a papercut-pattern as a composition of multiple sub-patterns that are either reflection symmetric (with dihedral or frieze symmetry groups) or reflection asymmetric.
| Original language | English (US) |
|---|---|
| Number of pages | 1 |
| DOIs | |
| State | Published - Jul 31 2005 |
| Event | International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2005 - Los Angeles, United States Duration: Jul 31 2005 → Aug 4 2005 |
Other
| Other | International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2005 |
|---|---|
| Country | United States |
| City | Los Angeles |
| Period | 7/31/05 → 8/4/05 |
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All Science Journal Classification (ASJC) codes
- Computer Graphics and Computer-Aided Design
- Human-Computer Interaction
Cite this
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Digital papercutting. / Liu, Yanxi; Hays, James; Shum, Heung Yeung; Xu, Ying Qing.
2005. Paper presented at International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2005, Los Angeles, United States.Research output: Contribution to conference › Paper
TY - CONF
T1 - Digital papercutting
AU - Liu, Yanxi
AU - Hays, James
AU - Shum, Heung Yeung
AU - Xu, Ying Qing
PY - 2005/7/31
Y1 - 2005/7/31
N2 - We develop a symmetry-based computer analysis and synthesis platform that, given a digitized image of a real-world papercut-pattern, is able to (1) identify dihedral and frieze symmetry as well as asymmetric sub-patterns of the input; (2) generate a fold-then-cut plan that can be used to recreate the input papercutpattern; and (3) synthesize new papercut patterns by varying the motif automatically extracted from the input, or by varying the symmetry group describing the structural organization of the input papercut pattern. We formalize a papercut-pattern as a composition of multiple sub-patterns that are either reflection symmetric (with dihedral or frieze symmetry groups) or reflection asymmetric.
AB - We develop a symmetry-based computer analysis and synthesis platform that, given a digitized image of a real-world papercut-pattern, is able to (1) identify dihedral and frieze symmetry as well as asymmetric sub-patterns of the input; (2) generate a fold-then-cut plan that can be used to recreate the input papercutpattern; and (3) synthesize new papercut patterns by varying the motif automatically extracted from the input, or by varying the symmetry group describing the structural organization of the input papercut pattern. We formalize a papercut-pattern as a composition of multiple sub-patterns that are either reflection symmetric (with dihedral or frieze symmetry groups) or reflection asymmetric.
UR - http://www.scopus.com/inward/record.url?scp=84983196979&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84983196979&partnerID=8YFLogxK
U2 - 10.1145/1187112.1187231
DO - 10.1145/1187112.1187231
M3 - Paper
AN - SCOPUS:84983196979
ER -