Scale-spaces and Affine Curvature

Image Visualization and Restoration by Curvature Motions

This paper presents a review, analysis and comparison of numerical methods implementing the curvature motion and the affine curvature motion for 2D images, shapes, and curves. These curvature scale spaces allow, in principle, to compute an accurate multiscale curvature in digital images. The fastest and most invariant of them can be used in a complete image processing chain. This numerical chai...

An Image Curvature Microscope

This paper presents a review, analysis and comparison of numerical methods implementing the curvature motion and the affine curvature motion for 2D images, shapes, and curves. These curvature scale spaces allow, in principle, to compute an accurate multiscale curvature in digital images. The fastest and most invariant of them can be used in a complete image processing chain. This numerical chai...

Convergence of an Implicit Iteration for Affine Mappings in Normed and Banach Spaces

ar X iv : m at h / 05 04 16 3 v 1 [ m at h . D G ] 8 A pr 2 00 5 AFFINE CURVATURE HOMOGENEOUS 3 - DIMENSIONAL LORENTZ MANIFOLDS

We study a family of 3-dimensional Lorentz manifolds. Some members of the family are 0-curvature homogeneous, 1-affine curvature homogeneous , but not 1-curvature homogeneous. Some are 1-curvature homogeneous but not 2-curvature homogeneous. All are 0-modeled on indecomposible local symmetric spaces. Some of the members of the family are geodesically complete, others are not. All have vanishing...

Differential Geometry - Dynamical Systems

1 We develop the method of anholonomic frames with associated nonlinear connection (in brief, N–connection) structure and show explicitly how geometries with local anisotropy (various type of Finsler–Lagrange–Cartan–Hamilton spaces) can be modelled on the metric–affine spaces. There are formulated the criteria when such generalized Finsler metrics are effectively defined in the Einstein, telepa...