2 papers
cs.CG2024
Efficient computation of topological integral transforms
Vadim Lebovici, Steve Oudot, Hugo Passe
Topological integral transforms have found many applications in shape analysis, from prediction of clinical outcomes in brain cancer to analysis of barley seeds. Using Euler charac…
math.DG2019
Reconstruction of piecewise constant functions from X-ray data
Vadim Lebovici
We show that on a two-dimensional compact nontrapping Riemannian manifold with strictly convex boundary, a piecewise constant function can be recovered from its integrals over geod…