ReportInformation
- Replaced by: toth-2007-ndd
- Publication Type: Technical Report
- Workgroup(s)/Project(s):
- Date: September 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.Additional Files and Images
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No further information available.BibTeX
@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 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.",
month = sep,
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",
URL = "https://www.cg.tuwien.ac.at/research/publications/2005/TR-186-2-05-08/",
}