Z. Toth, I. Viola, A. Ferko, E. Gröller:

"N-dimensional Data-Dependent Reconstruction Using Topological Changes";

Talk: Workshop Topology-Based Methods in Visualization, Budmerice, Slovakia; 2005-09-29 - 2005-09-30; in: "Topology-based Methods in Visualization", H. Hauser, H. Hagen, H. Theisel (ed.); (2007), ISBN: 978-3-540-70822-3; 183 - 198.

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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