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[LHM+06]  Surface Mosaics

Lai:2006:SM (Article)
Author(s)Lai Y.K., Hu S.M. and Martin R.
Title« Surface Mosaics »
JournalThe Visual Computer
Volume22
Number9--11
Page(s)604--611
Year2006

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.

BibTeX code
@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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