Entry VanGelder:1998:ASE from jgraphtools.bib

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BibTeX entry

@Article{VanGelder:1998:ASE,
  author =       "Allen {Van Gelder}",
  title =        "Approximate Simulation of Elastic Membranes by
                 Triangulated Spring Meshes",
  journal =      j-J-GRAPHICS-TOOLS,
  volume =       "3",
  number =       "2",
  pages =        "21--41",
  year =         "1998",
  CODEN =        "JGTOFD",
  ISSN =         "1086-7651",
  ISSN-L =       "1086-7651",
  bibdate =      "Thu Oct 12 17:08:13 2000",
  bibsource =    "http://www.acm.org/jgt/issues.html;
                 http://www.math.utah.edu/pub/tex/bib/jgraphtools.bib",
  URL =          "http://www.acm.org/jgt/papers/VanGelder98/",
  abstract =     "Spring meshes have been used to model elastic material
                 in computer graphics, with skin, textiles, and soft
                 tissue being typical applications. A spring mesh is a
                 system of vertices and edges, possibly with highly
                 irregular geometry, in which each edge is a spring, and
                 springs are connected by ``pin-joints''
                 (``gimbal-joints'' in three dimensions) at the
                 vertices. This method is computationally attractive,
                 compared to some alternatives. Given a specified set of
                 elastic material properties, however, the question of
                 whether a particular spring mesh accurately simulates
                 those properties has been largely ignored in the
                 literature. Additionally, previous reports on the
                 technique are silent on the subject of assigning
                 stiffness to the various springs. This paper shows that
                 assigning the same stiffness to all springs fails to
                 simulate a uniform elastic membrane, for equilibrium
                 calculations. A formula for spring stuffness that
                 provides a more accurate simulation is then derived. In
                 its simplest form, this formula specifies that
                 stiffness varies as triangle area over edge length
                 squared. Its accuracy is demonstrated on test and
                 practical mesh examples. It is also shown that, in
                 general, an exact simulation is not possible.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://www.tandfonline.com/loi/ujgt20",
}

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