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Replaced by toth-2007-ndd.

Abstract

We introduce a new concept for a geometrically based feature preserving reconstruction technique of n-dimensional scattered data. Our goal is to generate an n-dimensional triangulation, which preserves the high frequency regions via local topology changes. It is the generalization of a 2D reconstruction approach based on data-dependent triangulation and Lawson‘s optimization procedure. The definition of the mathematic optimum of the reconstruction is given. We discuss an original cost function and a generalization of known functions for the n-dimensional case.

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@techreport{TR-186-2-05-08,
  title =      "N-dimensional Data-Dependent Reconstruction Using
               Topological Changes",
  author =     "Zsolt Toth and Ivan Viola and Andrej Ferko and Meister
               Eduard Gr{\"o}ller",
  year =       "2005",
  abstract =   "We introduce a new concept for a geometrically based feature
               preserving reconstruction technique of n-dimensional
               scattered data. Our goal is to generate an n-dimensional
               triangulation, which preserves the high frequency regions
               via local topology changes. It is the generalization of a 2D
               reconstruction approach based on data-dependent
               triangulation and Lawson‘s optimization procedure. The
               definition of the mathematic optimum of the reconstruction
               is given. We discuss an original cost function and a
               generalization of known functions for the n-dimensional
               case.",
  address =    "Favoritenstrasse 9-11/186, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  month =      sep,
  URL =        "http://www.cg.tuwien.ac.at/research/publications/2005/TR-186-2-05-08/",
}