## Information

- Publication Type: Conference Paper
- Workgroup(s)/Project(s):
- Date: September 2007
- Booktitle: Proceedings of TopoInVis 2005, Topology-based Methods in Visualization
- Date (from): 29. September 2005
- Date (to): 30. September 2005
- Editor: H. Hauser, H. Hagen, H. Theisel
- Lecturer: Zsolt Toth
- Location: Budmerice, Slovakia
- Note: Konferenz hat 2005 stattgefunden, Proceeding ist allerdings erst 2007 erschienen
- Pages (from): 183
- Pages (to): 198
- Publisher: Springer

## 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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### Additional files

## Weblinks

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## BibTeX

@inproceedings{toth-2007-ndd,
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 = "2007",
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,
booktitle = "Proceedings of TopoInVis 2005, Topology-based Methods in
Visualization",
editor = "H. Hauser, H. Hagen, H. Theisel",
location = "Budmerice, Slovakia",
note = "Konferenz hat 2005 stattgefunden, Proceeding ist allerdings
erst 2007 erschienen",
publisher = "Springer",
pages = "183--198",
URL = "/research/publications/2007/toth-2007-ndd/",
}