On Visualisation and Reconstruction from Non-uniform Point Sets

Information

• Replaced by: TR-186-2-08-13
• Publication Type: Technical Report
• Workgroup(s)/Project(s):
  • PVG: Point-based Volume Graphics
• Date: April 2008
• Number: TR-186-2-08-08
• Keywords: Multiresolution, Non-uniform Representation, Variational Reconstruction, Regularization

Abstract

With recent technological advances, non-uniform representations are becoming a crucial factor in acquisition and simulation devices and as such the development of better and more reliable reconstruction and visualization schemes is a necessity. 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. We introduce a hybrid regularization functional tuned for our volumetric reconstruction technique and show its impact on improving the reconstruction results. Our reconstruction scheme can be used for reconstructing non-uniform point sets at different resolutions. In addition we propose a two-level multiresolution algorithm for adaptively reconstructing non-uniform representations. 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 we demonstrate why our method is better and more reliable for handling non-uniform representations.

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BibTeX

@techreport{TR-186-2-08-08,
  title =      "On Visualisation and Reconstruction from Non-uniform Point
               Sets",
  author =     "Erald Vucini and Torsten M\"{o}ller and Eduard Gr\"{o}ller",
  year =       "2008",
  abstract =   "With recent technological advances, non-uniform
               representations are becoming a crucial factor in acquisition
               and simulation devices and as such the development of better
               and more reliable reconstruction and visualization schemes
               is a necessity. 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. We
               introduce a hybrid regularization functional tuned for our
               volumetric reconstruction technique and show its impact on
               improving the reconstruction results. Our reconstruction
               scheme can be used for reconstructing non-uniform point sets
               at different resolutions. In addition we propose a two-level
               multiresolution algorithm for adaptively reconstructing
               non-uniform representations. 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 we demonstrate
               why our method is better and more reliable for handling
               non-uniform representations.",
  month =      apr,
  number =     "TR-186-2-08-08",
  address =    "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology ",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  keywords =   "Multiresolution, Non-uniform Representation, Variational
               Reconstruction, Regularization",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/2008/TR-186-2-08-08/",
}