Algorithms for Morphing Escher-Like Tessellations
Inhaltsverzeichnis
Reference
Kevin Lee: Algorithms for Morphing Escher-Like Tessellations. In: Bridges 2015. Pages 483–486
DOI
Abstract
Inspired by the way M.C. Escher combined metamorphosis and regular division in his art, I explore linear and non-linear algorithms that automatically morph tiles from the base polygon to a final shape. The morphing can be visualized as an animation or as a parquet deformation.. The final algorithm involves an interactive cubic spline, path-based editor that gives the artist fine control over the intermediate morph frames.
Extended Abstract
Bibtex
@inproceedings{bridges2015:483,
author = {Kevin Lee},
title = {Algorithms for Morphing Escher-Like Tessellations},
pages = {483--486},
booktitle = {Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture},
year = {2015},
editor = {Kelly Delp, Craig S. Kaplan, Douglas McKenna and Reza Sarhangi},
isbn = {978-1-938664-15-1},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
note = {Available online at \url{http://archive.bridgesmathart.org/2015/bridges2015-483.html}}
}
Used References
[1] Bruce Bilney, Curly Elephants Tessellations, http://www.ozzigami.com.au/tessellations.html (as of April 20, 2015)
[2] Craig S. Kaplan. Curve Evolutions Schemes for Parquet Deformations. In Bridges 2010: Mathematical Connections in Art, Music and Science, pages 95-102, 2010.
[3] Craig S. Kaplan. Metamorphosis in Escher’s art. In Bridges 2008: Mathematical Connections in Art, Music and Science, pages 39–46, 2008.
[4] Doris Schattschneider. M.C. Escher: Visions of Symmetry. Harry N. Abrams, second edition, 2004.
[5] Kevin D. Lee. Tile Types in TesselManiac, http://www.tesselmaniac.com/tess/Tile_Types.html, (as of April 20, 2015)
[6] Kevin D. Lee TesselManiac! 2014 http://www.tesselmaniac.com (as of April 20, 2015)
[7] Thomas W. Sederberg, Peisheng Gao, Guojin Wang, and Hong Mu. 2D shape blending: An intrinsic solution to the vertex path problem. In James T. Kajiya, editor, Computer Graphics (SIGGRAPH ’93 Proceedings), volume 27, pages 15–18, Aug 1993
Links
Full Text
http://archive.bridgesmathart.org/2015/bridges2015-483.pdf
