15 references, page 1 of 2 [1] M. Bauer, Ph. Harms, and P. W. Michor. Almost local metrics on shape space of hypersurfaces in n-space. SIAM J. Imaging Sci., 5(1):244-310, 2012.

[2] Martin Bauer, Martins Bruveris, Stephen Marsland, and Peter W. Michor. Constructing reparameterization invariant metrics on spaces of plane curves. Differential Geom. Appl., 34:139-165, 2014.

[3] Martin Bauer, Martins Bruveris, and Peter W. Michor. Overview of the geometries of shape spaces and diffeomorphism groups. J. Math. Imaging Vis., 50:60-97, 2014.

[4] Martin Bauer and Philipp Harms. Metrics on spaces of surfaces where horizontality equals normality. Differential Geometry and its Applications, 39:166-183., 2015.

[5] Martin Bauer, Philipp Harms, and Peter W. Michor. Sobolev metrics on shape space of surfaces. J. Geom. Mech., 3(4):389-438, 2011.

[6] V. Cervera, F. MascarĀ“o, and P. W. Michor. The action of the diffeomorphism group on the space of immersions. Differential Geom. Appl., 1(4):391-401, 1991.

[7] P. W. Michor and D. Mumford. An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Appl. Comput. Harmon. Anal., 23(1):74-113, 2007.

[8] W. Mio and A. Srivastava. Elastic-string models for representation and analysis of planar shapes. In Computer Vision and Pattern Recognition, 2004. CVPR 2004. Proceedings of the 2004 IEEE Computer Society Conference on, volume 2, pages II-10- II-15 Vol.2, 2004.

[9] Washington Mio, Anuj Srivastava, and Shantanu Joshi. On shape of plane elastic curves. Int. J. Comput. Vision, 73(3):307-324, July 2007.

[10] Stephen C. Preston. The motion of whips and chains. J. Differential Equations, 251(3):504-550, 2011.