Keyword(s):image algebra, algebraic approach, image analysis, desctiptive approach, mathematical morphology, pattern recognition, theory of pattern, category, ontology-based approach

Abstract: The main purpose of this review is to explain and discuss the opportunities and limitations of algebraic, linguistic and descriptive approaches in image analysis. During recent years there was accepted that algebraic techniques, in particular different kinds of image algebras, is the most prospective direction of construction of the mathematical theory of image analysis and of development an universal algebraic language for representing image analysis transforms and image models. So, the main goal of the Algebraic Approach is designing of a unified scheme for representation of objects under recognition and its transforms in the form of certain 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, in particular for diversification classes and types of solvable problems and for essential increasing of solution efficiency and quality.(More)

The main purpose of this review is to explain and discuss the opportunities and limitations of algebraic, linguistic and descriptive approaches in image analysis. During recent years there was accepted that algebraic techniques, in particular different kinds of image algebras, is the most prospective direction of construction of the mathematical theory of image analysis and of development an universal algebraic language for representing image analysis transforms and image models. So, the main goal of the Algebraic Approach is designing of a unified scheme for representation of objects under recognition and its transforms in the form of certain 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, in particular for diversification classes and types of solvable problems and for essential increasing of solution efficiency and quality.

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B. Gurevich, I.; O. Trusova, Y. and V. Yashina, V. (2013). The Algebraic and Descriptive Approaches and Techniques in Image Analysis. In Proceedings of the 4th International Workshop on Image Mining. Theory and Applications (VISIGRAPP 2013) - IMTA-4; ISBN 978-989-8565-50-1, SciTePress, pages 82-93. DOI: 10.5220/0004394300820093

@conference{imta-413, author={I. {B. Gurevich}. and Yu. {O. Trusova}. and V. {V. Yashina}.}, title={The Algebraic and Descriptive Approaches and Techniques in Image Analysis}, booktitle={Proceedings of the 4th International Workshop on Image Mining. Theory and Applications (VISIGRAPP 2013) - IMTA-4}, year={2013}, pages={82-93}, publisher={SciTePress}, organization={INSTICC}, doi={10.5220/0004394300820093}, isbn={978-989-8565-50-1}, }

TY - CONF

JO - Proceedings of the 4th International Workshop on Image Mining. Theory and Applications (VISIGRAPP 2013) - IMTA-4 TI - The Algebraic and Descriptive Approaches and Techniques in Image Analysis SN - 978-989-8565-50-1 AU - B. Gurevich, I. AU - O. Trusova, Y. AU - V. Yashina, V. PY - 2013 SP - 82 EP - 93 DO - 10.5220/0004394300820093 PB - SciTePress

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