@article{Kopf:2006:RWT,
optpostscript = {},
number = {3},
month = jul,
author = {Johannes Kopf and Daniel CohenOr and Oliver Deussen and Dani
Lischinski},
optkey = {},
optannote = {},
url = {http://graphics.unikonstanz.de/publications/2006/blue_noise/},
localfile = {papers/Kopf.2006.RWT.pdf},
optkeywords = {},
doi = {http://doi.acm.org/10.1145/1141911.1141916},
optciteseer = {},
journal = SIGGRAPH2006,
volume = {25},
optwww = {},
title = {{R}ecursive {W}ang {T}iles for {R}eal{T}ime {B}lue {N}oise},
abstract = {Well distributed point sets play an important role in a variety of
computer graphics contexts, such as antialiasing, global
illumination, halftoning, nonphotorealistic rendering,
pointbased modeling and rendering, and geometry processing. In
this paper, we introduce a novel technique for rapidly generating
large point sets possessing a blue noise Fourier spectrum and high
visual quality. Our technique generates nonperiodic point sets,
distributed over arbitrarily large areas. The local density of a
point set may be prescribed by an arbitrary target density
function, without any preset bound on the maximum density. Our
technique is deterministic and tilebased; thus, any local portion
of a potentially infinite point set may be consistently
regenerated as needed. The memory footprint of the technique is
constant, and the cost to generate any local portion of the point
set is proportional to the integral over the target density in
that area. These properties make our technique highly suitable for
a variety of realtime interactive applications, some of which are
demonstrated in the paper.Our technique utilizes a set of
carefully constructed progressive and recursive blue noise Wang
tiles. The use of Wang tiles enables the generation of infinite
nonperiodic tilings. The progressive point sets inside each tile
are able to produce spatially varying point densities. Recursion
allows our technique to adaptively subdivide tiles only where high
density is required, and makes it possible to zoom into point sets
by an arbitrary amount, while maintaining a constant apparent
density.},
pages = {509518},
year = {2006},
}
