Proceedings of International Conference on Applied Innovation in IT
2025/06/27, Volume 13, Issue 2, pp.235-241

Comparison of Fractal Compression Methods of Images


Tolaniddin Nurmukhamedov, Bakhodir Achilov and Odilzhan Turdiev


Abstract: This article is a report on the results of a comparative analysis of various most commonly used methods of fractal image compression: actually, fractal compression, compression using iterated functional systems, compression based on quad trees. Nowadays, when huge amounts of data are generated daily, efficient image compression techniques play an important role in reducing the required storage space and transmission bandwidth. Fractal compression, a relatively new approach, attracts attention due to its ability to compress images with minimal loss of quality. Therefore, when comparing the above compression methods, the following criteria were used: compression ratio, processing efficiency (productivity), and the quality of the images obtained. The article also discusses the basic principles of fractal compression, its advantages and disadvantages compared to traditional methods such as JPEG and PNG. Special attention is paid to the analysis of various fractal compression algorithms, their application and performance. The authors of the article strive to identify the most effective methods that provide a high degree of compression while maintaining the maximum amount of information about the image. This analysis can be useful for developers, engineers and researchers involved in image and data processing, as well as for a wide range of readers interested in advanced technologies in the field of digital data processing.

Keywords: Integrated Functional Systems, Wavelet Image Compression, Rank Block, Domain Block, Self-Similarity, Wavelet Compression, Wavelet Transformation, Quadtree.

DOI: 10.25673/120442

Download: PDF

References:

  1. B. Bondžulić, N. Stojanović, V. Lukin, S.A. Stankevich, D. Bujaković, and S. Kryvenko, "Target acquisition performance in the presence of JPEG image compression," Defence Technology, vol. 33, pp. 30-41, 2024, [Online]. Available: https://doi.org/10.1016/j.dt.2023.12.006.
  2. G. Roelofs, "PNG Lossless Image Compression," in Communications, Networking and Multimedia, pp. 371-390, 2003, [Online]. Available: https://doi.org/10.1016/B978-012620861-0/50020-6.
  3. R. Gonzalez, R. Woods, and S. Eddins, Digital Image Processing in the MATLAB Environment. Technosphere, 2006.
  4. S.R. Nayak, J. Nayak, K. Muhammad, and Y. Karaca, "Intelligent Fractal-Based Image Analysis," in Cognitive Data Science in Sustainable Computing, Academic Press, pp. 167-193, 2024, [Online]. Available: https://doi.org/10.1016/B978-0-44-318468-0.00015-5.
  5. H. Wen, Y. Huang, and Y. Lin, "High-quality color image compression-encryption using chaos and block permutation," Journal of King Saud University - Computer and Information Sciences, vol. 35, no. 8, p. 101660, 2023.
  6. S. Liu, L. Chen, and B. Feng, "A theoretical method for scaling the dynamic response of steel beams subjected to blast loads," International Journal of Impact Engineering, vol. 187, p. 104918, 2024, [Online]. Available: https://doi.org/10.1016/j.ijimpeng.2024.104918.
  7. X. Li et al., "A self-supervised feature-standardization-block for cross-domain lung disease classification," Methods, vol. 202, pp. 70-77, 2022, [Online]. Available: https://doi.org/10.1016/j.ymeth.2021.05.007.
  8. M. Khudaiberdiev, T. Nurmukhamedov, and B. Achilov, "Fractal image analysis of tomato leaf texture in the context of viral tomato mosaic disease," Scientific and Technical Journal of FerPI, vol. 28, no. 2, 2024.
  9. Q.-R. Deng, M.-T. Li, and Y.-H. Yao, "On the connected components of IFS fractals," Journal of Mathematical Analysis and Applications, vol. 518, no. 2, p. 126785, 2023.
  10. R. Anjum, M. Din, and M. Zhou, "Fractals of two types of enriched (q,θ)-Hutchinson–Barnsley operators," Chaos, Solitons & Fractals, vol. 181, p. 114589, 2024, [Online]. Available: https://doi.org/10.1016/j.chaos.2024.114589.

    HOME

       - Conference
       - Journal
       - Paper Submission to Journal
       - For Authors
       - For Reviewers
       - Important Dates
       - Conference Committee
       - Editorial Board
       - Reviewers
       - Last Proceedings


    PROCEEDINGS

       - Volume 13, Issue 2 (ICAIIT 2025)
       - Volume 13, Issue 1 (ICAIIT 2025)
       - Volume 12, Issue 2 (ICAIIT 2024)
       - Volume 12, Issue 1 (ICAIIT 2024)
       - Volume 11, Issue 2 (ICAIIT 2023)
       - Volume 11, Issue 1 (ICAIIT 2023)
       - Volume 10, Issue 1 (ICAIIT 2022)
       - Volume 9, Issue 1 (ICAIIT 2021)
       - Volume 8, Issue 1 (ICAIIT 2020)
       - Volume 7, Issue 1 (ICAIIT 2019)
       - Volume 7, Issue 2 (ICAIIT 2019)
       - Volume 6, Issue 1 (ICAIIT 2018)
       - Volume 5, Issue 1 (ICAIIT 2017)
       - Volume 4, Issue 1 (ICAIIT 2016)
       - Volume 3, Issue 1 (ICAIIT 2015)
       - Volume 2, Issue 1 (ICAIIT 2014)
       - Volume 1, Issue 1 (ICAIIT 2013)


    PAST CONFERENCES

       ICAIIT 2025
         - Photos
         - Reports

       ICAIIT 2024
         - Photos
         - Reports

       ICAIIT 2023
         - Photos
         - Reports

       ICAIIT 2021
         - Photos
         - Reports

       ICAIIT 2020
         - Photos
         - Reports

       ICAIIT 2019
         - Photos
         - Reports

       ICAIIT 2018
         - Photos
         - Reports

    ETHICS IN PUBLICATIONS

    ACCOMODATION

    CONTACT US

 

        

         Proceedings of the International Conference on Applied Innovations in IT by Anhalt University of Applied Sciences is licensed under CC BY-SA 4.0


                                                   This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License


           ISSN 2199-8876
           Publisher: Edition Hochschule Anhalt
           Location: Anhalt University of Applied Sciences
           Email: leiterin.hsb@hs-anhalt.de
           Phone: +49 (0) 3496 67 5611
           Address: Building 01 - Red Building, Top floor, Room 425, Bernburger Str. 55, D-06366 Köthen, Germany

        site traffic counter

Creative Commons License
Except where otherwise noted, all works and proceedings on this site is licensed under Creative Commons Attribution-ShareAlike 4.0 International License.