3 papers
math.DG2026
Shape Theory TDA via the Atiyah--Molino Reconstruction
N. C. Combe, H. K. Nencka
Reconstruction problems lie at the very heart of both mathematics and science, posing the fundamental challenge: \emph{How does one reconstruct a hidden structure from incomplete,…
math.AG2026
Image Recognition via Vaisman--Neifeld's Geometry
N. C. Combe, H. K. Nencka
We introduce a new approach to the reconstruction of hidden structures from incomplete data, unifying techniques from geometric integration and topological analysis within the fram…
math.DG2025
Shape Theory via the Atiyah--Molino Reconstruction and Deformations
Noémie C. Combe, Hanna N. Nencka
Reconstruction problems lie at the very heart of both mathematics and science, posing the enigmatic challenge: \emph{How does one resurrect a hidden structure from the shards of in…