IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i16p3619-d1221796.html
   My bibliography  Save this article

Novel Integer Shmaliy Transform and New Multiparametric Piecewise Linear Chaotic Map for Joint Lossless Compression and Encryption of Medical Images in IoMTs

Author

Listed:
  • Achraf Daoui

    (National School of Applied Sciences, Sidi Mohamed Ben Abdellah-Fez University, Fez 30000, Morocco)

  • Haokun Mao

    (Information Countermeauser Technique Institute, School of Cyberspace Science, Faculty of Computing, Harbin Institute of Technology, Harbin 150001, China)

  • Mohamed Yamni

    (Dhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah-Fez University, Fez 30000, Morocco)

  • Qiong Li

    (Information Countermeauser Technique Institute, School of Cyberspace Science, Faculty of Computing, Harbin Institute of Technology, Harbin 150001, China)

  • Osama Alfarraj

    (Computer Science Department, Community College, King Saud University, Riyadh 11437, Saudi Arabia)

  • Ahmed A. Abd El-Latif

    (Information Countermeauser Technique Institute, School of Cyberspace Science, Faculty of Computing, Harbin Institute of Technology, Harbin 150001, China
    Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebeen El-Kom 32511, Egypt)

Abstract

The discrete Shmaliy moment transform (DST) is a type of discrete orthogonal moment transform that is widely used in signal and image processing. However, DST is not suitable for lossless image applications due to its non-integer reversible nature. To overcome this limitation, we introduce the integer discrete Shmaliy transform (IDST) that performs integer-to-integer encoding, leading to a perfect and unique reconstruction of the input image. Next, a new 1D chaotic system model, the 1D multiparametric piecewise linear chaotic map (M-PWLCM), is presented as an extension of the existing 1D PWLCM. The M-PWLCM includes eight control parameters defined over an unlimited interval. To demonstrate the relevance of IDST and M-PWLCM in reversible image processing applications, they are used in a new scheme for lossless compression and encryption of medical images in the internet of medical things (IoMTs). On the one hand, the simulation results show that our scheme offers a good compression ratio and a higher level of security to resist differential attacks, brute force attacks and statistical attacks. On the other hand, the comparative analysis carried out shows the overall superiority of our scheme over similar state-of-the-art ones, both in achieving a higher compression ratio and better security when communicating medical images over unsecured IoMTs.

Suggested Citation

  • Achraf Daoui & Haokun Mao & Mohamed Yamni & Qiong Li & Osama Alfarraj & Ahmed A. Abd El-Latif, 2023. "Novel Integer Shmaliy Transform and New Multiparametric Piecewise Linear Chaotic Map for Joint Lossless Compression and Encryption of Medical Images in IoMTs," Mathematics, MDPI, vol. 11(16), pages 1-28, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3619-:d:1221796
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/16/3619/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/16/3619/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Germán González & Rodrigo Nava & Boris Escalante-Ramírez, 2018. "A Comparative Study on Discrete Shmaliy Moments and Their Texture-Based Applications," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-17, August.
    2. Li-bo Zhang & Zhi-liang Zhu & Ben-qiang Yang & Wen-yuan Liu & Hong-feng Zhu & Ming-yu Zou, 2015. "Medical Image Encryption and Compression Scheme Using Compressive Sensing and Pixel Swapping Based Permutation Approach," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, August.
    3. Liu, Lingfeng & Wang, Jie, 2023. "A cluster of 1D quadratic chaotic map and its applications in image encryption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 89-114.
    4. Achraf Daoui & Mohamed Yamni & Samia Allaoua Chelloug & Mudasir Ahmad Wani & Ahmed A. Abd El-Latif, 2023. "Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing," Mathematics, MDPI, vol. 11(7), pages 1-29, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Erendira Corona-Bermúdez & Juan Carlos Chimal-Eguía & Uriel Corona-Bermúdez & Mario Eduardo Rivero-Ángeles, 2023. "Chaos Meets Cryptography: Developing an S-Box Design with the Rössler Attractor," Mathematics, MDPI, vol. 11(22), pages 1-16, November.
    2. Chen, Jinbao & Liu, Shaohua & Wang, Yunhe & Hu, Wenqing & Zou, Yidong & Zheng, Yang & Xiao, Zhihuai, 2024. "Generalized predictive control application scheme for nonlinear hydro-turbine regulation system: Based on a precise novel control structure," Energy, Elsevier, vol. 296(C).
    3. Dai, Junfeng & Fu, Li-hui, 2024. "A wind speed forecasting model using nonlinear auto-regressive model optimized by the hybrid chaos-cloud salp swarm algorithm," Energy, Elsevier, vol. 298(C).
    4. Shenli Zhu & Xiaoheng Deng & Wendong Zhang & Congxu Zhu, 2023. "Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding," Mathematics, MDPI, vol. 11(1), pages 1-22, January.
    5. Achraf Daoui & Mohamed Yamni & Samia Allaoua Chelloug & Mudasir Ahmad Wani & Ahmed A. Abd El-Latif, 2023. "Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing," Mathematics, MDPI, vol. 11(7), pages 1-29, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3619-:d:1221796. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.