Variational Approach to Vector Field Decomposition
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Date
2000
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
For the feature analysis of vector fields we decompose a given vector field into three components: a divergence-free, a rotation-free, and a harmonic vector field. This Hodge-type decomposition splits a vector field using a variational approach, and allows to locate sources, sinks, and vortices as extremal points of the potentials of the components. Our method applies to discrete tangential vector fields on surfaces, and is of global nature. Results are presented of applying the method to test cases and a CFD flow.
Description
@inproceedings{10.2312:VisSym/VisSym00/147-156,
booktitle = {Eurographics / IEEE VGTC Symposium on Visualization},
editor = {W. de Leeuw and R. van Liere},
title = {{Variational Approach to Vector Field Decomposition}},
author = {Polthier, Konrad and Preuß, Eike},
year = {2000},
publisher = {The Eurographics Association},
ISSN = {1727-5296},
ISBN = {3211835156},
DOI = {10.2312/VisSym/VisSym00/147-156}
}