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Engineering images designed by fractal subdivision scheme.

Ghulam Mustafa1, Mehwish Bari1, Saba Jamil2

  • 1Department of Mathematics, The Islamia University of Bahawalpur, Baghdad Campus, Bahawalpur, 63100 Punjab Pakistan.

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Summary
This summary is machine-generated.

This study models engineering images using fractal properties from a 6-point binary interpolating scheme. The research establishes relationships between fractal behavior, parameters, and fractal dimensions for applications like fractal antennas.

Keywords:
BearingsEngineering imagesFractal antennasInterpolating subdivision scheme

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Area of Science:

  • Computer Vision
  • Image Processing
  • Fractal Geometry

Background:

  • Fractal geometry offers powerful tools for modeling complex natural and engineered objects.
  • Interpolating schemes are fundamental in generating smooth curves and surfaces from discrete data.

Purpose of the Study:

  • To model engineering images using the fractal properties of a 6-point binary interpolating scheme.
  • To establish associations between fractal behavior, parameters, and fractal dimensions.

Main Methods:

  • Utilizing a 6-point binary interpolating scheme to generate fractal curves and surfaces.
  • Analyzing the relationship between subdivision parameters and the fractal dimension of limit fractals.
  • Applying numerical examples and visual demonstrations.

Main Results:

  • Obtained associations between the fractal behavior of limit curves/surfaces and scheme parameters.
  • Presented the relationship between subdivision parameters and fractal dimensions.
  • Demonstrated the scheme's effectiveness in generating fractals.

Conclusions:

  • The 6-point binary interpolating scheme is a suitable choice for fractal generation.
  • The method is applicable to modeling various engineering objects, including fractal antennas, bearings, and rock structures.