Title
Distance functions and geodesics on point clouds
Abstract
A new paradigm for computing intrinsic distance functions and geodesics on sub-manifolds of Rd given by point clouds is introduced in this paper. The basic idea is that, as shown here, intrinsic distance functions and geodesics on general co-dimension sub-manifolds of Rd can be accurately approximated by extrinsic Euclidean ones computed inside a thin offset band surrounding the manifold...
Related to
Institute for Mathematics and Its Applications>IMA Preprints Series
Suggested Citation
Memoli, Facundo; Sapiro, Guillermo.
(2003).
Distance functions and geodesics on point clouds.
Retrieved from the University of Minnesota Digital Conservancy,
https://hdl.handle.net/11299/3924.