| dc.description.abstract | The topological notion of robustness introduces mathematically rigorous
approaches to interpret vector field data. Robustness quantifies the structural
stability of critical points with respect to perturbations and has been shown to be
useful for increasing the visual interpretability of vector fields. However, critical
points, which are essential components of vector field topology, are defined with
respect to a chosen frame of reference. The classical definition of robustness,
therefore, depends also on the chosen frame of reference. We define a new Galilean
invariant robustness framework that enables the simultaneous visualization of robust
critical points across the dominating reference frames in different regions of the
data. We also demonstrate a strong connection between such a robustness-based
framework with the one recently proposed by Bujack et al., which is based on the
determinant of the Jacobian. Our results include notable observations regarding the
definition of stable features within the vector field data. | en_US |
