Ndimensional DataDependent Reconstruction Using
Topological Changes
Zsolt Toth, Ivan Viola, Andrej Ferko, Meister
Eduard Gröller
INPROCEEDINGS,
Topologybased Methods in Visualization (Proc. of TopoInVis 2005),
sep, 2007
AbstractWe introduce a new concept for a geometrically based feature
preserving reconstruction technique of ndimensional
scattered data. Our goal is to generate an ndimensional
triangulation, which preserves the high frequency regions
via local topology changes. It is the generalization of a 2D
reconstruction approach based on datadependent
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 ndimensional
case.
Published
Topologybased Methods in Visualization (Proc. of TopoInVis 2005)
Media
BibTeX
@inproceedings{toth2007ndd,
title = "Ndimensional DataDependent 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
scattered data. Our goal is to generate an ndimensional
triangulation, which preserves the high frequency regions
via local topology changes. It is the generalization of a 2D
reconstruction approach based on datadependent
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 ndimensional
case.",
pages = "183198",
month = sep,
booktitle = "Topologybased Methods in Visualization (Proc. of TopoInVis 2005)",
editor = "H. Hauser, H. Hagen, H. Theisel",
publisher = "Springer",
location = "Budmerice, Slovakia",
URL = "http://www.cg.tuwien.ac.at/research/publications/2007/toth2007ndd/",
}
