@article{Lai:2006:SM,
optpostscript = {},
number = {9--11},
month = sep,
author = {Yu-Kun Lai and Shi-Min Hu and Ralph R. Martin},
optkey = {},
optannote = {},
localfile = {papers/Lai.2006.SM.pdf},
optkeywords = {},
doi = {http://dx.doi.org/10.1007/s00371-006-0047-x},
optciteseer = {},
journal = j-TVC,
opturl = {},
volume = {22},
optwww = {},
title = {{S}urface {M}osaics},
abstract = {This paper considers the problem of placing mosaic tiles on a
surface to produce a surface mosaic. We assume that the user
specifies a mesh model, the size of the tiles and the amount of
grout, and, optionally, a few control vectors at key locations on
the surface indicating the preferred tile orientation at these
points. From these inputs, we place equal-sized rectangular tiles
over the mesh such as to almost cover it, with controlled
orientation. The alignment of the tiles follows a vector field
which is interpolated over the surface from the control vectors
and also forced into alignment with any sharp creases, open
boundaries, and boundaries between regions of different colors.
Our method efficiently solves the problem by posing it as globally
optimizing a spring-like energy in the Manhattan metric, using
overlapping local parameterizations. We demonstrate the
effectiveness of our algorithm with various examples.},
pages = {604--611},
year = {2006},
}
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