| id |
cf2017_276 |
| authors |
Zarrinmehr, Saied; Akleman, Ergun; Ettehad, Mahmood; Kalantar, Negar; Borhani, Alireza |
| year |
2017 |
| title |
Kerfing with Generalized 2D Meander-Patterns: Conversion of Planar Rigid Panels into Locally-Flexible Panels with Stiffness Control |
| source |
Gülen Çagdas, Mine Özkar, Leman F. Gül and Ethem Gürer (Eds.) Future Trajectories of Computation in Design [17th International Conference, CAAD Futures 2017, Proceedings / ISBN 978-975-561-482-3] Istanbul, Turkey, July 12-14, 2017, pp. 276-293. |
| summary |
In this paper, we present a kerfing (relief-cutting) method to turn rigid planar surfaces into flexible ones. Our kerfing method is based on a generalization of the 2D meander-pattern recently invented by Dujam Ivanišević. We have developed algorithms to obtain a large subset of all possible 2D meander-patterns with a simple remeshing process. Our algorithm can be applied to any polygonal mesh to produce 2D meander-patterns. The algorithm, when applied to regular (4,4) tiling pattern, in which every face is 4-sided and every vertex is 4-valence, provides the original 2D meander-pattern of Ivanišević. Moreover, since these meander-patterns are obtained by a remeshing algorithm, by changing parameters, we can control local properties of the pattern with intensity of images to obtain desired stiffness in any given region (See Fig.1). This approach provides a simple interface to construct desired patterns. |
| keywords |
Kerfing, Flexible Panels, Relief Cuts |
| series |
CAAD Futures |
| email |
|
| full text |
 file.pdf (2,688,970 bytes) |
| references |
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Akleman, E. and Chen, J. (1999)
 Guaranteeing the 2-manifold property for meshes with doubly linked face list
, International Journal of Shape Modeling, 5(02), 159–177
|
|
|
|
|
Akleman, E., Chen, J. and Meric, B (2000)
Web-based intuitive and effective design of symmetric tiles
, Proceedings of the 2000 ACM workshops on Multimedia, 1-4
|
|
|
|
|
Akleman, E., Chen, J., Srinivasan, V. and Eryoldas, F. (2001)
A new corner cutting scheme with tension and handle-face reconstruction
, International Journal of Shape Modeling, 7(02),111– 128
|
|
|
|
|
Akleman, E., Koçak, H., et al. (2015)
Designing 2d ordinary differential equations to obtain abstract paintings, illustrations and animations
, Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Tessellations Publishing, 309–316
|
|
|
|
|
Akleman, E., Srinivasan, V. and Mandal, E. (2005)
Remeshing schemes for semi-regular tilings
, Shape Modeling and Applications, 2005 International Conference, IEEE, 44–50
|
|
|
|
|
Akleman, E. (2009)
Twirling sculptures
, Journal of Mathematics, 3(1), 1–10
|
|
|
|
|
Catmull, E. and Clark, J. (1978)
Recursively generated b-spline surfaces on arbitrary topological meshes
, Computer-aided design, 10(6), 350–355
|
|
|
|
|
Cook, R. L., Porter, T. and Carpenter, L. (1984)
Distributed ray tracing
, ACM SIGGRAPH Computer Graphics, 18(3), 137–145
|
|
|
|
|
Dixon, R. A. (1991)
Mathographics
, Dover Publications Inc.
|
|
|
|
|
Edmonds, J. (1960)
A combinatorial representation of polyhedral surfaces
, Notices of the American Mathematical Society, 7(2)
|
|
|
|
|
Erdelyi, D (2006)
Spidron domain: The expending spidron universe
, Bridges’2006, Mathematical Connections Art, Music and Science, 549–550
|
|
|
|
|
Erdelyi, D. (2005)
Some surprising properties of the spidrons.
, Bridges’2005, Mathematical Connections Art, Music and Science, 179–186
|
|
|
|
|
Friedman, N. and Perry, C. (2007)
Charles perry’s solstice
, Hyperseeing, 3(10), 1–6
|
|
|
|
|
Friedman, N. (2007)
Charles perry’s ribbed forms
, Hyperseeing, 3(1), 1–4
|
|
|
|
|
Grima, J.N. and Evans, K.E. (2000)
Auxetic behavior from rotating squares
, Journal of Materials Science Letters, 19(17), 1563–1565
|
|
|
|
|
Grima, J.N., Mizzi, L., Azzopardi, K.M. and Gatt, R. (2016)
Auxetic perforated mechanical metamaterials with randomly oriented cuts
, Advanced Materials, 28(2), 385–389
|
|
|
|
|
Kerenyi, C. (1976)
Dionysos: Archetypal image of indestructible life
, trans. Ralph Manheim. New Jersey
|
|
|
|
|
Konaković, M., Crane, K., Deng, B., Bouaziz, S., Piker, D. and Pauly, M. (2016)
Beyond developable: computational design and fabrication with auxetic materials
, ACM Transactions on Graphics (TOG), 35(4), 89
|
|
|
|
|
Mandelbrot, B. B. and Pignoni, R. (1983)
The fractal geometry of nature
, WH freeman New York
|
|
|
|
|
Mäntylä, M (1988)
An introduction to solid modeling
, Computer science press
|
|
|
|
| last changed |
2017/12/01 14:38 |
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