IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i4p1054-1064.html
   My bibliography  Save this article

An enhanced fractal image denoising algorithm

Author

Listed:
  • Lu, Jian
  • Ye, Zhongxing
  • Zou, Yuru
  • Ye, Ruisong

Abstract

In recent years, there has been a significant development in image denoising using fractal-based method. This paper presents an enhanced fractal predictive denoising algorithm for denoising the images corrupted by an additive white Gaussian noise (AWGN) by using quadratic gray-level function. Meanwhile, a quantization method for the fractal gray-level coefficients of the quadratic function is proposed to strictly guarantee the contractivity requirement of the enhanced fractal coding, and in terms of the quality of the fractal representation measured by PSNR, the enhanced fractal image coding using quadratic gray-level function generally performs better than the standard fractal coding using linear gray-level function. Based on this enhanced fractal coding, the enhanced fractal image denoising is implemented by estimating the fractal gray-level coefficients of the quadratic function of the noiseless image from its noisy observation. Experimental results show that, compared with other standard fractal-based image denoising schemes using linear gray-level function, the enhanced fractal denoising algorithm can improve the quality of the restored image efficiently.

Suggested Citation

  • Lu, Jian & Ye, Zhongxing & Zou, Yuru & Ye, Ruisong, 2008. "An enhanced fractal image denoising algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1054-1064.
  • Handle: RePEc:eee:chsofr:v:38:y:2008:i:4:p:1054-1064
    DOI: 10.1016/j.chaos.2007.06.048
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907004201
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2007.06.048?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chung, Kuo-Liang & Hsu, Chung-Hsiang, 2006. "Novel prediction- and subblock-based algorithm for fractal image compression," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 215-222.
    2. Wu, Ming-Sheng & Teng, Wei-Chih & Jeng, Jyh-Horng & Hsieh, Jer-Guang, 2006. "Spatial correlation genetic algorithm for fractal image compression," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 497-510.
    3. He, Chuan-jiang & Li, Gao-ping & Shen, Xiao-na, 2007. "Interpolation decoding method with variable parameters for fractal image compression," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1429-1439.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lu, Jian & Zou, Yuru & Ye, Zhongxing & Chen, Wensheng, 2009. "A noise-robust algorithm for classifying cyclic and dihedral symmetric images," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 676-685.

    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. Zhou, Yi-Ming & Zhang, Chao & Zhang, Zeng-Ke, 2009. "An efficient fractal image coding algorithm using unified feature and DCT," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1823-1830.
    2. Lai, Fu-Jou & Huang, Yueh Min, 2009. "Probability- and curve-based fractal reconstruction on 2D DEM terrain profile," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 970-978.
    3. Chen, Zuoping & Ye, Zhenglin & Wang, Shuxun & Peng, Guohua, 2009. "Image magnification based on similarity analogy," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2370-2375.
    4. Zhou, Yi-Ming & Zhang, Chao & Zhang, Zeng-Ke, 2008. "Fast hybrid fractal image compression using an image feature and neural network," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 623-631.
    5. Chapeau-Blondeau, François & Chauveau, Julien & Rousseau, David & Richard, Paul, 2009. "Fractal structure in the color distribution of natural images," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 472-482.
    6. Lien, Chang-Hua, 2007. "Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 1017-1027.
    7. Chiou, Juing-Shian & Cheng, Chun-Ming, 2009. "Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 751-759.
    8. Chauveau, Julien & Rousseau, David & Richard, Paul & Chapeau-Blondeau, François, 2010. "Multifractal analysis of three-dimensional histogram from color images," Chaos, Solitons & Fractals, Elsevier, vol. 43(1), pages 57-67.
    9. Cerruti, Umberto & Dutto, Simone & Murru, Nadir, 2020. "A symbiosis between cellular automata and genetic algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    10. Akemi Gálvez & Iztok Fister & Andrés Iglesias & Iztok Fister & Valentín Gómez-Jauregui & Cristina Manchado & César Otero, 2022. "IFS-Based Image Reconstruction of Binary Images with Functional Networks," Mathematics, MDPI, vol. 10(7), pages 1-26, March.

    More about this item

    Statistics

    Access and download statistics

    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:eee:chsofr:v:38:y:2008:i:4:p:1054-1064. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.