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Fractal Measurements of Projection Microstructures

  • J. M. Li
  • Li Lü
  • M. O. Lai
  • B. Ralph
Chapter

Abstract

The main task of the fractal measurements is to determine the fractal dimension. Usually, a physical object is fractal only within a limited range of scales. The scaling range, often characterized by a length, should be determined because it is usually associated with a characteristic size of the object. This length is called the “fractal characteristic length”. The methods for determining the fractal parameters (fractal dimension and fractal characteristic length) depend on the direct applications of fractal theory. The measurement effort therefore turns on estimating the quantities such as perimeter, area, height or properties at different scales, which are related to the fractal parameters.

Keywords

Fractal Dimension Fractal Parameter Fractal Measurement Growth Front Minimum Radius 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • J. M. Li
    • 1
  • Li Lü
    • 2
  • M. O. Lai
    • 2
  • B. Ralph
    • 3
  1. 1.Data Storage InstituteSingapore
  2. 2.Department of Mechanical EngineeringNational University of SingaporeSingapore
  3. 3.Faculty of Technology and Information SystemsBrunel UniversityUK

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