Dynamic Scale-Space Theories

Image formation of a two-dimensional input image can be quantified by imposing an image induced connection and computing the associated torsion and curvature. The latter aspects of image formation are especially nonvanishing at sets of discontinuities and non-isolated singularities, such as ridges and ruts. Next dynamic scale-space theories for the input image are constructed on the basis of an image induced connection. Finally dynamic scale-space theories for the image formation are constructed that are coupled to the image formation itself.