Fractals in microscopy.

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Bibliographic Details
Title: Fractals in microscopy.
Authors: LANDINI, G.1
Source: Journal of Microscopy. Jan2011, Vol. 241 Issue 1, p1-8. 8p.
Subjects: Fractals, Geometry problems & exercises, Dimension theory (Topology), Similarity (Geometry), Microscopy, Scaling laws (Nuclear physics), Mandelbrot, Benoit B., 1924-2010
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:00222720
DOI:10.1111/j.1365-2818.2010.03454.x