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  1. Fractal generation using ternary 5-point interpolatory subdivision …

    • This paper is devoted to explore the generation of fractal curves and surfaces using ternary 5-point interpolatory subdivision scheme. The fractal behavior of the limiting curves and surfaces is analyzed with … See more

    1. Introduction

    Subdivision is one of the most important gears of Computer Aided Geometric Design … See more

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    2. Generation of fractal curves using ternary 5-point interpolatory subdivision scheme

    Cogitate two arbitrary fixed control points Pik and Pjk after n subdivision steps, where ∀k∈Z,k⩾0. The effect of the parameter ω is needed to be analyzed on the sum of all the small e… See more

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    3. Examples

    The five examples have been considered for comparison of fractals corresponding to proposed ternary 5-point fractal scheme with those corresponding to others.
    It may be o… See more

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    4. Conclusion

    This paper is devoted to explore the generation of fractal curves and surfaces using ternary 5-point interpolating subdivision scheme [14]. The range of the shape cont… See more

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  2. Fractals are infinitely complex patterns that are self-similar across different scales. They are made by rehashing a basic procedure again and again in an ongoing feedback loop. Its uses in various areas of the study of materials and of other areas of engineering are examples of practical prose.
    Author: Ghulam Mustafa, Mehwish Bari, Saba Jamil
    Publish Year: 2016
    DOI: 10.1186/s40064-016-3018-3
    Publication: Springerplus. 2016; 5(1): 1493.
    Published: 2016
    www.ncbi.nlm.nih.gov/pmc/articles/PMC5013010/
    www.ncbi.nlm.nih.gov/pmc/articles/PMC5013010/
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  3. Engineering images designed by fractal subdivision scheme

     
  4. Generation of fractal curves using new binary 8-point interpolatory ...

  5. Fractal properties of 4-point interpolatory subdivision schemes …

  6. A secure fractal compression scheme based on irregular Latin …

  7. Engineering images designed by fractal subdivision scheme

  8. Fractal OAM Generation and Detection Schemes - IEEE Xplore

  9. Fixed point results of an implicit iterative scheme for …

    Sep 15, 2021 · In this paper, we derive the escape criteria for general complex polynomial f (x) = ∑ i = 0 p a i x i with p ≥ 2, where a i ∈ C for i = 0, 1, 2, …, p to generate the fractals.

  10. Fractal Behavior of a Ternary 4-Point Rational …

    In this paper, the fractal behavior of the ternary 4-point rational interpolation subdivision scheme is investigated and analyzed. Through examples, it was found that when the parameter selection is close to the singular point, the limit …

  11. Iterated function system - Wikipedia

    In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are more related to set theory than fractal geometry. [1] They were introduced in 1981. IFS …

  12. A fractal interpolation scheme for a possible sizeable set of data

  13. Fractal generation using ternary 5-point interpolatory subdivision …

  14. Fractal Image Compression with Quadtrees | SpringerLink

  15. Fractals via Generalized Jungck–S Iterative Scheme

  16. Target detection using an improved fractal scheme

  17. Fractal Spiking Neural Network Scheme for EEG-Based Emotion …

  18. An efficient scheme for nonlinear shock wave model in a fractal …

  19. A parallel compression framework for fractal images using DCT …