On Visualization and Reconstruction from Non-Uniform Point Sets using B-splines

Erald Vuçini, Torsten Möller, Meister Eduard Gröller
On Visualization and Reconstruction from Non-Uniform Point Sets using B-splines
Computer Graphics Forum, 28(3):1007-1014, June 2009. [ ] [ image]
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Also available in TR-186-2-08-13.

Abstract

In this paper we present a novel framework for the visualization and reconstruction from non-uniform point sets. We adopt a variational method for the reconstruction of 3D non-uniform data to a uniform grid of chosen resolution. We will extend this reconstruction to an efficient multi-resolution uniform representation of the underlying data. Our multi-resolution representation includes a traditional bottom-up multi-resolution approach and a novel top-down hierarchy for adaptive hierarchical reconstruction. Using a hybrid regularization functional we can improve the reconstruction results. Finally, we discuss further application scenarios and show rendering results to emphasize the effectiveness and quality of our proposed framework. By means of qualitative results and error comparisons we demonstrate superiority of our method compared to competing methods

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@article{vucini_2009,
  title =      "On Visualization and Reconstruction from Non-Uniform Point
               Sets using B-splines",
  author =     "Erald  Vu{\c c}ini and Torsten M{\"o}ller and Meister
               Eduard Gr{\"o}ller",
  year =       "2009",
  abstract =   "In this paper we present a novel framework for the
               visualization and reconstruction from non-uniform point
               sets. We adopt a variational method for the reconstruction
               of 3D non-uniform data to a uniform grid of chosen
               resolution. We will extend this reconstruction to an
               efficient multi-resolution uniform representation of the
               underlying data. Our multi-resolution representation
               includes a traditional bottom-up multi-resolution approach
               and a novel top-down hierarchy for adaptive hierarchical
               reconstruction. Using a hybrid regularization functional we
               can improve the reconstruction results. Finally, we discuss
               further application scenarios and show rendering results to
               emphasize the effectiveness and quality of our proposed
               framework. By means of qualitative results and error
               comparisons we demonstrate superiority of our method
               compared to competing methods",
  pages =      "1007--1014",
  month =      jun,
  number =     "3",
  note =       "2nd Best Paper Award",
  event =      "Eurographics/IEEE Symposium on Visualization",
  issn =       "0167-7055",
  journal =    "Computer Graphics Forum",
  volume =     "28",
  location =   "Berlin/Germany",
  keywords =   "B-splines, Image Processing and Computer Vision, Non-uniform
               data, Reconstruction",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/2009/vucini_2009/",
}