Abstract
We present a general technique to transform arbitrary 3D curves into more artistic solid curves. The transformation first aligns the curve to the lattice; next, it transforms the curve into a lattice path with straight line segments; finally, it rounds this path into a smooth curve again. We also show an elegant way of thickening the curve. There are various parameters to play with, such as lattice alignment, the type of lattice, and cell size of the lattice. We implemented this technique in Rhinoceros with Grasshopper, and show some examples based on closed curves.
| Original language | English |
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| Title of host publication | Proceedings of Bridges 2017 |
| Subtitle of host publication | Mathematics, Art, Music, Architecture, Education, Culture |
| Editors | David Swart, Carlo H. Séquin, Kristóf Fenyvesi |
| Place of Publication | Phoenix, Arizona, USA |
| Publisher | Tessellations Publishing |
| Pages | 447-450 |
| Number of pages | 4 |
| ISBN (Print) | 978-1-938664-22-9 |
| Publication status | Published - Jul 2017 |
| Event | Bridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture - University of Waterloo, Waterloo, Canada Duration: 27 Jul 2017 → 31 Jul 2017 Conference number: 20 http://bridgesmathart.org/bridges-2017/ http://bridgesmathart.org/past-conferences/bridges-2017/ http://bridgesmathart.org/past-conferences/bridges-2017 |
Publication series
| Name | Bridges Conference Proceedings |
|---|---|
| Publisher | Tessellations Publishing |
| ISSN (Print) | 1099-6702 |
Conference
| Conference | Bridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture |
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| Abbreviated title | Bridges Waterloo 2017 |
| Country/Territory | Canada |
| City | Waterloo |
| Period | 27/07/17 → 31/07/17 |
| Internet address |