@inproceedings{Kaplan:2000:E,
opteditor = {},
author = {Craig S. Kaplan and David H. Salesin},
series = CGPACS,
localfile = {papers/Kaplan.2000.E.pdf},
address = {New York},
optpublisher = {ACM Press},
organization = {ACM SIGGRAPH},
optmonth = aug,
doi = {http://doi.acm.org/10.1145/344779.345022},
citeseer = {http://citeseer.nj.nec.com/kaplan00escherization.html},
booktitle = SIGGRAPH2000,
optstatus = {OK},
title = {{E}scherization},
abstract = {This paper introduces and presents a solution to the
``Escherization'' problem: given a closed figure in the plane,
find a new closed figure that is similar to the original and tiles
the plane. Our solution works by using a simulated annealer to
optimize over a parameterization of the ``isohedral'' tilings, a
class of tilings that us flexible enough to encompass nearly all
of Escher's own tilings, and yet simple enough to be encoded and
explored by a computer. We also describe a representation for
isohedral tilings that allows for highly interactive viewing and
rendering. We demonstrate the use of these tools—along with
several additional techniques for adding decorations to
tilings—with a variety of original ornamental designs.},
pages = {499--510},
year = {2000},
}
|