Algebraic Topological Analysis of Time-Sequence of Digital Images
نویسندگان
چکیده
This paper introduces an algebraic framework for a topological analysis of time-varying 2D digital binary{valued images, each of them de ned as 2D arrays of pixels. Our answer is based on an algebraictopological coding, called AT{model, for a nD (n = 2; 3) digital binaryvalued 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.
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