Ilya Trofimov*

Scalar Function Topology Divergence: Comparing Topology of 3D Objects

"We propose a new topological tool for computer vision - Scalar Function Topology Divergence (SFTD), which measures the dissimilarity of multi-scale topology between sublevel sets of two functions having a common domain. Functions can be defined on an undirected graph or Euclidean space of any dimen…