Cubical Homology Theory and Applications in Image Processing and Computer Vision

Friday, October 20, 2000 - 11:00am - 11:40am
Keller 3-180
Madjid Allili (Georgia Institute of Technology)
Homology theory is a well known concept in algebraic topology related to the notion of connectivity in multi-dimensional shapes. We will discuss the cubical homology theory that is very suited to the study of topological properties of images since by essence an image is a cubic grid in the plane. We will also report the recent progress made in designing algorithms and computer programs computing homology of spaces and maps as well as some examples of application of homology in Image Processing and Computer Vision.