Controlling Geometry of Homology Generators

Samuel Peltier (1) , Adrian Ion (1) , Yll Haxhimusa (1) , Walter G. Kropatsch (1)

1 PRIP - Pattern Recognition and Image Processing Group

Homology groups and their generators of a 2D image are computed using a hierarchical structure i.e. irregular graph pyramid. In this paper we prove that the generators of the first homology groups of a 2D image, computed with our method always fit on boundaries on the image.

Domaines: Modélisation et simulation

Samuel Peltier, Adrian Ion, Yll Haxhimusa, Walter G. Kropatsch. Controlling Geometry of Homology Generators. Computer Vision Winter Workshop, Feb 2007, Graz, Austria. pp.115--121. ⟨hal-00366095⟩