• Topology-based Smoothing of 2D Scalar Fields with C1-Continuity

    by  • June 1, 2011

    Data sets often contain noise that hinders their processing and analysis. When the nature of the noise is unknown, it is difficult to distinguish between noise and actual data features. We propose a smoothing method for 2D scalar fields that gives explicit control over the data features, i.e., critical points and the topological structure...

    Read more →

    Separatrix Persistence

    by  • June 1, 2011

    Separatrix Persistence measures the feature strength of every point along a separatrix in a topological skeleton. It aids in identifying the most important minimal/maximal lines of a scalar function. Using discrete Morse theory, these extremal lines can be computed without derivatives. We used this to extract salient edges on surfaces as minimal/maximal lines of...

    Read more →

    Stable Feature Flow Fields

    by  • May 31, 2011

    Feature Flow Fields are a well-accepted approach for extracting and tracking features. In the original approach, the stream lines around the feature line may diverge from it; creating a numerically unstable situation. We introduce Stable Feature Flow Fields which guarantee that the neighborhood of a feature line has always converging behavior. This way, we...

    Read more →