15 citations · 34 across the 26 of their papers we have counts for
7 papers · 1 filter
The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions
Kazuhiro Kawamura, Sushovan Majhi, Atish Mitra
The Intersection Euler Characteristic Profile (Intersection ECP) of colored point clouds is the Euler characteristic $χ(\bigcap_{i=1}^k…
The Shadow of Vietoris--Rips Complexes in Limits
Kazuhiro Kawamura, Sushovan Majhi, Atish Mitra
The Vietoris-Rips complex, denoted , of a metric space at scale is an abstract simplicial complex where each -simplex corresponds to points of wi…
Vietoris--Rips Shadow for Euclidean Graph Reconstruction
Rafal Komendarczyk, Sushovan Majhi, Atish Mitra
The shadow of an abstract simplicial complex with vertices in is a subset of defined as the union of the convex hulls of simplices of . The Vie…
Topological Stability and Latschev-type Reconstruction Theorems for Spaces of Curvature Bounded Above
Rafal Komendarczyk, Sushovan Majhi, Will Tran
We consider the problem of homotopy-type reconstruction of compact subsets that have the Alexandrov curvature bounded above ( ) in the intrinsic length metr…
Demystifying Latschev's Theorem: Manifold Reconstruction from Noisy Data
Sushovan Majhi
For a closed Riemannian manifold and a metric space with a small Gromov$\unicode{x2013}$Hausdorff distance to it, Latschev's theorem guarantees the existence of a…
Vietoris$\unicode{x2013}$Rips Complexes of Metric Spaces Near a Metric Graph
Sushovan Majhi
For a sufficiently small scale , the Vietoris$\unicode{x2013}$Rips complex of a metric space with a small Gromov$\unicode{x2013}$Hausdorff distance to a…
On the Reconstruction of Geodesic Subspaces of
Brittany Terese Fasy, Rafal Komendarczyk, Sushovan Majhi +1
We consider the topological and geometric reconstruction of a geodesic subspace of both from the Čech and Vietoris-Rips filtrations on a finite, Hausdorff-close, Euc…