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Basic Models of Descriptive Image Analysis

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Book cover Pattern Recognition. ICPR International Workshops and Challenges (ICPR 2021)

Abstract

This paper is devoted to the basic models of descriptive image analysis, which is the leading branch of the modern mathematical theory of image analysis and recognition.

Descriptive analysis provides for the implementation of image analysis processes in the image formalization space, the elements of which are various forms (states, phases) of the image representation that is transformed from the original form into a form that is convenient for recognition (i.e., into a model), and models for converting data representations. Image analysis processes are considered as sequences of transformations that are implemented in the phase space and provide the construction of phase states of the image, which form a phase trajectory of the image translation from the original view to the model.

Two types of image analysis models are considered: 1) models that reflect the general properties of the process of image recognition and analysis – the setting of the task, the mathematical and heuristic methods used, and the algorithmic content of the process: a) a model based on a reverse algebraic closure; b) a model based on the equivalence property of images; c) a model based on multiple image models and multiple classifiers; 2) models that characterize the architecture and structure of the recognition process: a) a multilevel model for combining algorithms and source data in image recognition; b) an information structure for generating descriptive algorithmic schemes for image recognition.

A brief description, a comparative analysis of the relationships and specifics of these models are given. Directions for further research are discussed.

This work was supported in part by the Russian Foundation for Basic Research (Project No. 20-07-01031).

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References

  1. Gurevich, I.B., Yashina, V.V.: Descriptive image analysis. genesis and current trends. Pattern Recogn. Image Anal.: Adv. Math. Theory Appl. 27(4), 653–674 (2017)

    Google Scholar 

  2. Gurevitch, I.B.: The descriptive framework for an image recognition problem. In: 6th Scandinavian Conference on Image Analysis, vol. 1, pp. 220–227 (1989). Pattern Recognition Society of Finland

    Google Scholar 

  3. Gurevich, I.: The descriptive approach to image analysis. current state and prospects. In: Kalviainen, J., Parkkinen, A.K. (eds.) 14th Scandinavian Conference on Image Analysis, LNCS, vol. 3540, pp. 214–223. Springer, Heidelberg (2005). https://doi.org/10.1007/11499145_24

  4. Gurevich, I.B., Yashina, V.V.: Descriptive approach to image analysis: image models. Pattern Recog. Image Anal. Adv. Math. Theory Appl. 18(4), 518–541 (2008)

    Google Scholar 

  5. Gurevich, I.B., Yashina, V.V.: Descriptive approach to image analysis: image formalization space. Pattern Recognition and Image Analysis: Advances in Mathematical Theory and Applications 22(4), 495–518 (2012)

    Article  Google Scholar 

  6. Gurevich, I.B., Yashina, V.V.: Descriptive image analysis. foundations and descriptive image algebras. Int. J. Pattern Recogn. Artif. Intell. 33(12), 1940018-1–1940018-25 (2019)

    Google Scholar 

  7. Gurevich, I.B., Yashina, V.V.: Descriptive image analysis: III. multilevel model for algorithms and initial data combining in pattern recognition. Pattern Recogn. Image Anal. 30(3), 328–341 (2020)

    Google Scholar 

  8. Gurevich, I.B., Yashina, V.V.: Descriptive image analysis: part II. descriptive image models. Pattern Recogn. Image Anal. 29(4), 598–612 (2019). https://doi.org/10.1134/S1054661819040035

    Article  Google Scholar 

  9. Gurevitch, I.B.: Image analysis on the base of reversing algebraic closure technique. In: The Problems of Artificial Intelligence and Pattern Recognition, Scientific Conference with Participation of Scientists from Socialistic Countries (Kiev, May 13–18 1984), pp. 41––43. V.M. Glushkov Institute of Cybernetics of the Academy of Sciences of the Ukrainian SSR (1984). [in Russian]

    Google Scholar 

  10. Gurevich, I.B., Yashina, V.V.: Computer-aided image analysis based on the concepts of invariance and equivalence. Pattern Recogn. Image Anal. Adv. Math. Theory Appl. 16(4), 564–589 (2006)

    Article  Google Scholar 

  11. Gurevich, I.B., Yashina, V.V.: Descriptive image analysis: iii. multilevel model for algorithms and initial data combining in pattern recognition. Pattern Recogn. Image Anal.: Adv. Math. Theory Appl. 30(3), 328–341 (2020)

    Google Scholar 

  12. Gurevich, I.B., Yashina, V.V.: Dscriptive image analysis: part iv. information structure for generating descriptive algorithmic schemes for image recognition. Pattern Recogn. Image Anal. Adv. Math. Theory Appl. 30(4), 649–665 (2020)

    Google Scholar 

  13. Kittler, J., Hatef, M., Duin, R., Matas, J.: On combining classifiers. IEEE Trans. Pattern Anal. Machine Intell. 20(3), 226–239 (1998)

    Article  Google Scholar 

  14. Suen, C.Y., Lam, L.: Multiple classifier combination methodologies for different output levels. In: Kittler, J., Roli, F. (eds.) MCS 2000. LNCS, vol. 1857, pp. 52–66. Springer, Heidelberg (2000). https://doi.org/10.1007/3-540-45014-9_5

    Chapter  Google Scholar 

  15. Zhuravlev, Y.I.: An algebraic approach to recognition and classification problems. Pattern Recogn. Image Anal. Adv. Math. Theory Appl. 8, 59–100 (1998)

    Google Scholar 

  16. Gurevich, I.B. Yashina V.V.: Descriptive image analysis. genesis and current trends. In: Pattern Recognition and Image Analysis: Advances in Mathematical Theory and Applications, Pleiades Publishing, Ltd. 27(4), 653–674 (2017)

    Google Scholar 

  17. Gurevich, I.B., Nefyodov, A.V.: Block diagram representation of a 2d-aec algorithm with rectangular support sets. Pattern Recogn. Image Anal. Adv. Math. Theory Appl. 15(1), 187–191 (2005)

    Google Scholar 

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Correspondence to Igor Gurevich .

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Gurevich, I., Yashina, V. (2021). Basic Models of Descriptive Image Analysis. In: Del Bimbo, A., et al. Pattern Recognition. ICPR International Workshops and Challenges. ICPR 2021. Lecture Notes in Computer Science(), vol 12665. Springer, Cham. https://doi.org/10.1007/978-3-030-68821-9_26

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  • DOI: https://doi.org/10.1007/978-3-030-68821-9_26

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