@UNPUBLISHED{publication1, title = "Uniformly compressing mean curvature flow", author = "{SHI, Wenhui} and {VOROTNIKOV, Dmitry}", year = "2017-11-10", abstract = "Michor and Mumford showed that the mean curvature flow is a gradient flow on a Riemannian structure with a degenerate geodesic distance. It is also known to destroy the uniform density of gridpoints on the evolving surfaces. We introduce a related geometric flow which is free of these drawbacks, and study its analytical properties. ", url = "http://www.mat.uc.pt/preprints/eng\_2017.html", note = "" }