2 papers
cs.CG2025
When alpha-complexes collapse onto codimension-1 submanifolds
Dominique Attali, Mattéo Clémot, Bianca B. Dornelas +1
Given a finite set of points sampling an unknown smooth surface , our goal is to triangulate based solely on . Assuming $\m…
cs.CG2025
Delaunay-like Triangulation of Smooth Orientable Submanifolds by L1-Norm Minimization
Dominique Attali, André Lieutier
In this paper, we study the shape reconstruction problem, when the shape we wish to reconstruct is an orientable smooth d-dimensional submanifold of the Euclidean space. Assuming w…