Variational Approach to Vector Field Decomposition

Polthier, Konrad; Preuß, Eike

Variational Approach to Vector Field Decomposition

Files

147-156.pdf (302.29 KB)

Date

2000

Authors

Polthier, Konrad
Preuß, Eike

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.

        @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
}
}