Skip to main content
SpringerLink
Log in

Smooth fractal surfaces derived from bicubic rational fractal interpolation functions

  • Letter
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Pan F, Chen J B, Huang J W. Discriminating between photorealistic computer graphics and natural images using fractal geometry. Sci China Ser F-Inf Sci, 2009, 52: 329–337

    Article  MATH  Google Scholar 

  2. Kuang L, Zheng B J, Li D Y, et al. A fractal and scale-free model of complex networks with hub attraction behaviors. Sci China Inf Sci, 2015, 58: 012111

    Google Scholar 

  3. Wittenbrink C M. IFS fractal interpolation for 2D and 3D visualization. In: Proceedings of IEEE Visualation, Atlanta, 1995. 77–83

    Google Scholar 

  4. Zhao N. Construction and application of fractal interpolation surfaces. Visual Comput, 1996, 12: 132–146

    Article  Google Scholar 

  5. Tu G F, Zhang C, Nimann H, et al. Scalable video object coding & QoS control for next generation space Internet. Sci China Ser F-Inf Sci, 2008, 51: 599–608

    Article  MATH  Google Scholar 

  6. Bouboulis P, Dalla L, Kostaki-Kosta M. Construction of smooth fractal surfaces using Hermite fractal interpolation functions. Bull Greek Math Soc, 2007, 54: 179–196

    MathSciNet  MATH  Google Scholar 

  7. Yun C-H, O H-C, Choi H-C. Construction of fractal surfaces by recurrent fractal interpolation curves. Chaos Solitons Fractals, 2014, 66: 136–143

    Article  MathSciNet  MATH  Google Scholar 

  8. Ruan H J, Xu Q. Fractal interpolation surfaces on rectangular grids. Bull Aust Math Soc, 2015, 91: 435–446

    Article  MathSciNet  MATH  Google Scholar 

  9. Chand A K B, Vijender N. Positive blending Hermite rational cubic spline fractal interpolation surfaces. Calcolo, 2015, 52: 1–24

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This work was supported by National Nature Science Foundation of China (Grant Nos. 61672018, 61373080, U1609218, U1430101), Nature Science Foundation of the Shandong Province of China (Grant No. ZR2015AM007), and Fostering Project of Dominant Discipline and Talent Team of Shandong Province Higher Education Institutions.

Author information

Authors and Affiliations

  1. School of Mathematics, Shandong University, Jinan, 250100, China

    Fangxun Bao, Qinghua Sun & Caiming Zhang

  2. School of Computer Science & Technology, Shandong University of Finance and Economics, Jinan, 250014, China

    Yunfeng Zhang

  3. Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW2007, Australia

    Xunxiang Yao

Authors
  1. Fangxun Bao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xunxiang Yao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Qinghua Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yunfeng Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Caiming Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yunfeng Zhang.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bao, F., Yao, X., Sun, Q. et al. Smooth fractal surfaces derived from bicubic rational fractal interpolation functions. Sci. China Inf. Sci. 61, 099104 (2018). https://doi.org/10.1007/s11432-017-9258-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-017-9258-5

Search

Navigation