Variational Approach to Vector Field Decomposition

  title={Variational Approach to Vector Field Decomposition},
  author={Konrad Polthier and Eike Preu\ss},
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 Hodgetype 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… CONTINUE READING
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