Fractals in microscopy

  • Landini G
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Abstract

Fractal geometry, developed by B. Mandelbrot, has provided new key concepts necessary to the understanding and quantification of some aspects of pattern and shape randomness, irregularity, complexity and self-similarity. In the field of microscopy, fractals have profound implications in relation to the effects of magnification and scaling on morphology and to the methodological approaches necessary to measure self-similar structures. In this article are reviewed the fundamental concepts on which fractal geometry is based, their relevance to the microscopy field as well as a number of technical details that can help improving the robustness of morphological analyses when applied to microscopy problems.

Author-supplied keywords

  • Complexity
  • Fractal
  • Irregularity
  • Metrology
  • Morphology
  • Randomness
  • Resolution

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Authors

  • G. Landini

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