N-dimensional data-dependent reconstruction using topological changes

Zsolt Toth*, Ivan Viola, Andrej Ferko, Eduard Groeller

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publicationTOPOLOGY-BASED METHODS IN VISUALIZATION
EditorsH Hauser, H Hagen, H Theisel
PublisherSpringer-Verlag Berlin Heidelberg
Pages183-+
Number of pages5
ISBN (Print)978-3-540-70822-3
DOIs
StatePublished - 2007
Externally publishedYes
EventWorkshop on Topology-Based Methods in Visualization - Budmerice, Slovakia
Duration: Sep 29 2005Sep 30 2005

Publication series

NameMathematics and Visualization
PublisherSPRINGER-VERLAG BERLIN
ISSN (Print)1612-3786

Conference

ConferenceWorkshop on Topology-Based Methods in Visualization
CountrySlovakia
CityBudmerice
Period09/29/0509/30/05

Keywords

  • SCATTERED DATA
  • INTERPOLATION
  • TRIANGULATION

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