Current Trends in the Algebraic Image Analysis: A Survey

  • Igor Gurevich
  • Yulia Trusova
  • Vera Yashina
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8258)


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.


Image analysis image algebras descriptive approach pattern recognition image representations 


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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Igor Gurevich
    • 1
  • Yulia Trusova
    • 1
  • Vera Yashina
    • 1
  1. 1.Dorodnicyn Computing CentreRussian Academy of SciencesMoscowThe Russian Federation

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