Critical Point Cancellation In 3D Vector Fields: Robustness And Discussion
This work introduces the first framework to directly cancel pairs or groups of 3D critical points in a hierarchical manner with guaranteed minimum amount of perturbation based on their robustness, a quantitative measure of their stability. In addition, our framework does not require the extraction of the entire 3D topology, which contains nontrivial separation structure, and thus is computationally effective. Furthermore, our algorithm can remove critical points in any subregions of the domain whose degree is zero and handle complex boundary configurations, making it capable of addressing challenging scenarios that may not be resolved otherwise.
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