IS = { zkontrolovano 16 Jan 2009 },
  UPDATE  = { 2008-11-27 },
  author =       {Kostliv{\'a}, Jana and {\v S}{\'a}ra, Radim and
                  Mat{\'y}skov{\'a}, Martina},
  title =        {Inflection Point Preserving Fairing of Discrete Surfaces
                  with Boundary},
  institution =  {Center for Machine Perception, K13133 FEE Czech Technical
  address =      {Prague, Czech Republic},
  year =         {2008},
  month =        {October},
  type =         {Research Report},
  number =       {CTU--CMP--2008--19},
  issn =         {1213-2365},
  pages =        {40},
  figures =      {29},
  authorship =   {50-45-5},
  psurl =        {[Kostliva-TR-2008-19.pdf]},
  project =      {1ET101210406, MSM6840770012},
  annote = {In this paper, we propose a new approach for fairing of
    discrete surfaces. Two criteria, curvature and mesh irregularity,
    defined on a discrete surface are jointly optimised. A new
    definition of curvature is proposed, which simplifies the
    computation. A discrete diffusion of a scalar function is used to
    avoid surface shrinking.  Proposed experiments on synthetic as
    well as on real data demonstrated method's stability, robustness
    and ability to preserve qualitative shape
    (convex/concave/hyperbolic/elliptic). Tests on real datasets from
    3D reconstruction task showed the method is suitable for this
    application and data with boundary and of moderate-size (with more
    than 0.8M vertices and 1.7M triangles).},
  keywords =     {surface fairing, mesh smoothing, mesh regularity
                  improvement, curvature approximation},