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[TZF+04]  Prototype Modeling from Sketched Silhouettes based on Convolution Surfaces

Tai:2004:PMS (Article)
Author(s)Tai C.L., Zhang H. and Fong J.C.K.
Title« Prototype Modeling from Sketched Silhouettes based on Convolution Surfaces »
JournalComputer Graphics Forum
Volume23
Number1
Page(s)71--83
Year2004

Abstract
This paper presents a hybrid method for creating three-dimensional shapes by sketching silhouette curves. Given a silhouette curve, we approximate its medial axis as a set of line segments, and convolve a linearly weighted kernel along each segment. By summing the fields of all segments, an analytical convolution surface is obtained. The resulting generic shape has circular cross-section, but can be conveniently modified via sketched profile or shape parameters of a spatial transform. New components can be similarly designed by sketching on different projection planes. The convolution surface model lends itself to smooth merging between the overlapping components. Our method overcomes several limitations of previous sketched-based systems, including designing objects of arbitrary genus, objects with semi-sharp features, and the ability to easily generate variants of shapes.

BibTeX code
@article{Tai:2004:PMS,
  optpostscript = {},
  number = {1},
  month = mar,
  optnote = {},
  author = {Chiew-Lan Tai and Hongxin Zhang and Jacky Chun-Kin Fong},
  optkey = {},
  optannote = {},
  localfile = {papers/Tai.2004.PMS.pdf},
  journal = j-CGF,
  doi = {http://dx.doi.org/10.1111/j.1467-8659.2004.00006.x},
  optciteseer = {},
  opturl = {},
  volume = {23},
  optwww = {},
  title = {{P}rototype {M}odeling from {S}ketched {S}ilhouettes based on
           {C}onvolution {S}urfaces},
  abstract = {This paper presents a hybrid method for creating three-dimensional
              shapes by sketching silhouette curves. Given a silhouette curve,
              we approximate its medial axis as a set of line segments, and
              convolve a linearly weighted kernel along each segment. By summing
              the fields of all segments, an analytical convolution surface is
              obtained. The resulting generic shape has circular cross-section,
              but can be conveniently modified via sketched profile or shape
              parameters of a spatial transform. New components can be similarly
              designed by sketching on different projection planes. The
              convolution surface model lends itself to smooth merging between
              the overlapping components. Our method overcomes several
              limitations of previous sketched-based systems, including
              designing objects of arbitrary genus, objects with semi-sharp
              features, and the ability to easily generate variants of shapes.},
  pages = {71--83},
  year = {2004},
}

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