most citedSDFs from Unoriented Point Clouds using Neural Variational Heat Distances

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math.NA2025

Discrete Geodesic Calculus in the Space of Sobolev Curves

Sascha Beutler, Florine Hartwig, Martin Rumpf +1

The Riemannian manifold of curves with a Sobolev metric is an important and frequently studied model in the theory of shape spaces. Various numerical approaches have been proposed…

math.NA2025★ 3 cited

SDFs from Unoriented Point Clouds using Neural Variational Heat Distances

Samuel Weidemaier, Florine Hartwig, Josua Sassen +3

We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. To this end, we replace the commonly used eikonal equation w…