49 citations · 49 across the 2 of their papers we have counts for
2 papers
math.DG2007★ 49 cited
A Metric on Shape Space with Explicit Geodesics
Peter W. Michor, David Mumford, Jayant Shah +1
This paper studies a specific metric on plane curves that has the property of being isometric to classical manifold (sphere, complex projective, Stiefel, Grassmann) modulo change o…
math.DG2005
H^o type Riemannian metrics on the space of planar curves
Jayant Shah
Michor and Mumford have shown that the distances between planar curves in the simplest metric (not involving derivatives) are identically zero. We consider two conformally equivale…