Current trends in the algebraic image analysis: A survey

Abstract

Survey. The main goal of the Algebraic Approach is the design of a unified scheme for the representation of objects for the purposes of their recognition and the transformation of such representations in the suitable algebraic structures. It makes possible to develop corresponding regular structures ready for analysis by algebraic, geometrical and topological techniques. Development of this line of image analysis and pattern recognition is of crucial importance for automated image mining and application problems solving. It is selected and briefly characterized main aspects of current state of the image analysis algebraization. Special attention is paid to the recent results of the Russian mathematical school. © Springer-Verlag 2013.