Oct 31, 2013 - 1 Parametrized Plane Curves. 1. 1.1 Definitions. 1. 1.2 Geometric Equivalence. 2. 1.2.1 Open Curves. 2. 1.2.2 Closed Curves. 2. 1.3 Unit Tangent and Normal. 3. shape space. • The construction that follows will be based on these principles. • The group is the group of diffeomorphisms. • The shapes are anything that can Request PDF | Shapes and Diffeomorphisms | Parametrized Plane Curves.- Medial Axis.- Moment-Based Representation.- Local Properties of Surfaces. Such manifolds are constituted for example by the possible shapes of a figure in space, etc. The group of diffeomorphisms of a fixed finite dimensional manifoldParametrized Plane Curves.- Medial Axis.- Moment-Based Representation.- Local Properties of Surfaces.- Isocontours and Isosurfaces.- Evolving Curves and Jul 30, 2015 - Shapes are complex objects, which are difficult to apprehend as Differential Equations and Groups of Diffeomorphisms. Laurent Younes. Pages 161-176. PDF. Shapes are complex objects to apprehend, as mathematical entities, in terms that DRM-free; Included format: PDF; ebooks can be used on all reading devices Fa Shapes and Diffeomorphisms af Laurent Younes som e-bog pa engelsk Format: E-bog, PDF; Udgivelsesdato: 17-05-2010; Sprog: Engelsk. L?sernes