This paper introduces an algebraic framework for a topological analysis of time-varying 2D digital binary valued images, each of them defined as 2D arrays of pixels. Our answer is based on an algebraictopological coding, called AT-model, for a nD (n = 2, 3) digital binary-valued image I consisting simply in taking I together with an algebraic object depending on it. Considering AT-models for all the 2D digital images in a time sequence, it is possible to get an AT-model for the 3D digital image consisting in concatenating the successive 2D digital images in the sequence. If the frames are represented in a quadtree format, a similar positive result can be derived.
['Rocio Gonzalez-Diaz', 'Belen Medrano', 'Pedro Real', 'Javier Sánchez-Peláez']
Algebraic topological analysis of time-sequence of digital images