4 papers
Topology of a Smile: Persistent Homology in Dental Imaging
Leon Dahlmeier, Sara Kališnik, Albert Mehl +1
CBCT (Cone Beam Computed Tomography) scans provide detailed three-dimensional images, widely used in dentistry for diagnostic and treatment planning tasks. While invaluable, analyz…
Continuity of Magnitude at Skew Finite Subsets of
Sara Kalisnik, Davorin Lesnik
Magnitude is an isometric invariant of metric spaces introduced by Leinster. Although magnitude is nowhere continuous on the Gromov-Hausdorff space of finite metric spaces, continu…
Tractable Metric Spaces and Magnitude Continuity
Sara Kališnik, Davorin Lešnik
Magnitude is an isometric invariant of metric spaces introduced by Leinster. Since its inception, it has inspired active research into its connections with integral geometry, geome…
Persistent Homology via Ellipsoids
Niklas Canova, Sara Kališnik, Aaron Moser +2
Persistent homology is one of the most popular methods in topological data analysis. An initial step in its use involves constructing a nested sequence of simplicial complexes. The…