Harmonic Field Analysis View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2012

AUTHORS

Christian Wagner , Christoph Garth , Hans Hagen

ABSTRACT

Harmonic analysis techniques are established and successful tools in a variety of application areas, with the Fourier decomposition as one well-known example. In this chapter, we describe recent work on possible approaches to use Harmonic Analysis on fields of arbitrary type to facilitate global feature extraction and visualization. We find that a global approach is hampered by significant computational costs, and thus describe a local framework for harmonic vector field analysis to address this concern. In addition to a description of our approach, we provide a high-level overview of mathematical concepts underlying it and address practical modeling and calculation issues. As a potential application, we demonstrate the definition of empirical features based on local harmonic analysis of vector fields that reduce field data to low dimensional feature sets and offers possibilities for visualization and analysis. More... »

PAGES

363-379

References to SciGraph publications

Book

TITLE

New Developments in the Visualization and Processing of Tensor Fields

ISBN

978-3-642-27342-1
978-3-642-27343-8

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-27343-8_19

DOI

http://dx.doi.org/10.1007/978-3-642-27343-8_19

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1012205595


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