Fractals in microscopy

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Abstract

P>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.

Details

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalJournal of Microscopy
Volume241
Issue number1
Early online date10 Sep 2010
Publication statusPublished - 1 Jan 2011

Keywords

  • morphology, metrology, irregularity, Complexity, randomness, resolution, fractal